OscProb::PMNS_Decay Class Reference

Implementation of neutrino decay in a three-neutrino framework. More...

#include <PMNS_Decay.h>

Inheritance diagram for OscProb::PMNS_Decay:

Public Member Functions
	PMNS_Decay ()
	Constructor. More...
virtual	~PMNS_Decay ()
	Destructor. More...
virtual void	SetMix (double th12, double th23, double th13, double deltacp)
	Set the all mixing parameters at once. More...
virtual void	SetDeltaMsqrs (double dm21, double dm32)
	Set both mass-splittings at once. More...
virtual void	SetAlpha3 (double alpha3)
virtual void	SetAlpha2 (double alpha2)
virtual double	GetAlpha3 ()
virtual double	GetAlpha2 ()
virtual void	SetIsNuBar (bool isNuBar)
virtual double	Prob (vectorC nu_in, int flvf)
	Compute the probability of nu_in going to flvf. More...
virtual double	Prob (vectorC nu_in, int flvf, double E)
virtual double	Prob (vectorC nu_in, int flvf, double E, double L)
virtual double	Prob (int flvi, int flvf)
	Compute the probability of flvi going to flvf. More...
virtual double	Prob (int flvi, int flvf, double E)
virtual double	Prob (int flvi, int flvf, double E, double L)
virtual vectorD	ProbVector (vectorC nu_in)
virtual vectorD	ProbVector (vectorC nu_in, double E)
	flavours for energy E More...
virtual vectorD	ProbVector (vectorC nu_in, double E, double L)
virtual vectorD	ProbVector (int flvi)
virtual vectorD	ProbVector (int flvi, double E)
virtual vectorD	ProbVector (int flvi, double E, double L)
virtual matrixD	ProbMatrix (int nflvi, int nflvf)
	Compute the probability matrix. More...
virtual matrixD	ProbMatrix (int nflvi, int nflvf, double E)
	Compute the probability matrix for energy E. More...
virtual matrixD	ProbMatrix (int nflvi, int nflvf, double E, double L)
virtual double	AvgProb (vectorC nu_in, int flvf, double E, double dE=0)
	Compute the average probability over a bin of energy. More...
virtual double	AvgProb (int flvi, int flvf, double E, double dE=0)
	Compute the average probability over a bin of energy. More...
virtual double	AvgProbLoE (vectorC nu_in, int flvf, double LoE, double dLoE=0)
	Compute the average probability over a bin of L/E. More...
virtual double	AvgProbLoE (int flvi, int flvf, double LoE, double dLoE=0)
	Compute the average probability over a bin of L/E. More...
virtual vectorD	AvgProbVector (vectorC nu_in, double E, double dE=0)
virtual vectorD	AvgProbVector (int flvi, double E, double dE=0)
virtual vectorD	AvgProbVectorLoE (vectorC nu_in, double LoE, double dLoE=0)
	Compute the average probability vector over a bin of L/E. More...
virtual vectorD	AvgProbVectorLoE (int flvi, double LoE, double dLoE=0)
	Compute the average probability vector over a bin of L/E. More...
virtual matrixD	AvgProbMatrix (int nflvi, int nflvf, double E, double dE=0)
virtual matrixD	AvgProbMatrixLoE (int nflvi, int nflvf, double LoE, double dLoE=0)
	Compute the average probability matrix over a bin of L/E. More...
virtual vectorC	GetMassEigenstate (int mi)
	Get a neutrino mass eigenstate. More...
virtual void	SetAngle (int i, int j, double th)
	Set the mixing angle theta_ij. More...
virtual void	SetDelta (int i, int j, double delta)
	Set the CP phase delta_ij. More...
virtual void	SetDm (int j, double dm)
	Set the mass-splitting dm_j1 in eV^2. More...
virtual double	GetAngle (int i, int j)
	Get the mixing angle theta_ij. More...
virtual double	GetDelta (int i, int j)
	Get the CP phase delta_ij. More...
virtual double	GetDm (int j)
	Get the mass-splitting dm_j1 in eV^2. More...
virtual double	GetDmEff (int j)
	Get the effective mass-splitting dm_j1 in eV^2. More...
virtual void	SetStdPars ()
	Set PDG 3-flavor parameters. More...
virtual void	SetEnergy (double E)
	Set the neutrino energy in GeV. More...
virtual double	GetEnergy ()
	Get the neutrino energy in GeV. More...
virtual bool	GetIsNuBar ()
	Get the anti-neutrino flag. More...
virtual void	SetPath (NuPath p)
	Set a single path. More...
virtual void	SetPath (double length, double density, double zoa=0.5, int layer=0)
	Set a single path. More...
virtual void	SetPath (std::vector< NuPath > paths)
	Set a path sequence. More...
virtual void	AddPath (NuPath p)
	Add a path to the sequence. More...
virtual void	AddPath (double length, double density, double zoa=0.5, int layer=0)
	Add a path to the sequence. More...
virtual void	ClearPath ()
	Clear the path vector. More...
virtual void	SetLength (double L)
	Set a single path lentgh in km. More...
virtual void	SetLength (vectorD L)
	Set multiple path lengths. More...
virtual void	SetDensity (double rho)
	Set single path density in g/cm^3. More...
virtual void	SetDensity (vectorD rho)
	Set multiple path densities. More...
virtual void	SetZoA (double zoa)
	Set Z/A value for single path. More...
virtual void	SetZoA (vectorD zoa)
	Set multiple path Z/A values. More...
virtual void	SetLayers (std::vector< int > lay)
	Set multiple path layer indices. More...
virtual void	SetStdPath ()
	Set standard neutrino path. More...
virtual std::vector< NuPath >	GetPath ()
	Get the neutrino path sequence. More...
virtual vectorD	GetSamplePoints (double LoE, double dLoE)
	Compute the sample points for a bin of L/E with width dLoE. More...
virtual void	SetUseCache (bool u=true)
	Set caching on/off. More...
virtual void	ClearCache ()
	Clear the cache. More...
virtual void	SetMaxCache (int mc=1e6)
	Set max cache size. More...
virtual void	SetAvgProbPrec (double prec)
	Set the AvgProb precision. More...

Protected Member Functions
virtual void	BuildHms ()
	Build the Hms Hamiltonian. More...
virtual void	UpdateHam ()
	Build the full Hamiltonian. More...
virtual void	SolveHam ()
	Solve the full Hamiltonian for eigenvalues. More...
virtual void	PropagatePath (NuPath p)
	Propagation with Decay. More...
virtual void	InitializeVectors ()
virtual bool	TryCache ()
	Try to find a cached eigensystem. More...
virtual void	FillCache ()
	Cache the current eigensystem. More...
virtual void	SetCurPath (NuPath p)
	Set the path currently in use by the class. More...
virtual void	SetAtt (double att, int idx)
	Set one of the path attributes. More...
virtual void	SetAtt (vectorD att, int idx)
	Set all values of a path attribute. More...
virtual void	RotateH (int i, int j, matrixC &Ham)
	Rotate the Hamiltonian by theta_ij and delta_ij. More...
virtual void	RotateState (int i, int j)
	Rotate the neutrino state by theta_ij and delta_ij. More...
virtual void	ResetToFlavour (int flv)
	Reset neutrino state to pure flavour flv. More...
virtual void	SetPureState (vectorC nu_in)
	Set the initial state from a pure state. More...
virtual void	Propagate ()
	Propagate neutrino through full path. More...
virtual double	P (int flv)
	Return the probability of final state in flavour flv. More...
virtual vectorD	GetProbVector ()
virtual std::vector< int >	GetSortedIndices (const vectorD x)
	Get indices that sort a vector. More...
virtual vectorD	ConvertEtoLoE (double E, double dE)

Protected Attributes
matrixC	fHd
	Decay hamiltonian. More...
Eigen::Matrix3cd	fHam
	Final hamiltonian. More...
vectorD	fAlpha
	alpha parameters More...
int	fNumNus
	Number of neutrino flavours. More...
vectorD	fDm
	m^2_i - m^2_1 in vacuum More...
matrixD	fTheta
	theta[i][j] mixing angle More...
matrixD	fDelta
	delta[i][j] CP violating phase More...
vectorC	fNuState
	The neutrino current state. More...
matrixC	fHms
	matrix H*2E in eV^2 More...
vectorC	fPhases
	Buffer for oscillation phases. More...
vectorC	fBuffer
	Buffer for neutrino state tranformations. More...
vectorD	fEval
	Eigenvalues of the Hamiltonian. More...
matrixC	fEvec
	Eigenvectors of the Hamiltonian. More...
double	fEnergy
	Neutrino energy. More...
bool	fIsNuBar
	Anti-neutrino flag. More...
std::vector< NuPath >	fNuPaths
	Vector of neutrino paths. More...
NuPath	fPath
	Current neutrino path. More...
bool	fBuiltHms
	Tag to avoid rebuilding Hms. More...
bool	fGotES
	Tag to avoid recalculating eigensystem. More...
bool	fUseCache
	Flag for whether to use caching. More...
double	fCachePrec
	Precision of cache matching. More...
int	fMaxCache
	Maximum cache size. More...
double	fAvgProbPrec
	AvgProb precision. More...
std::unordered_set< EigenPoint >	fMixCache
	Caching set of eigensystems. More...
EigenPoint	fProbe
	EigenpPoint to try. More...

Static Protected Attributes
static const complexD	zero
	zero in complex More...
static const complexD	one
	one in complex More...
static const double	kKm2eV = 1.0 / 1.973269788e-10
	km to eV^-1 More...
static const double	kK2
	mol/GeV^2/cm^3 to eV More...
static const double	kGeV2eV = 1.0e+09
	GeV to eV. More...
static const double	kNA = 6.022140857e23
	Avogadro constant. More...
static const double	kGf = 1.1663787e-05
	G_F in units of GeV^-2. More...

Detailed Description

This class expands the PMNS_Fast class including the decay of the second and third mass state of the neutrino through a decay constant , where is the mass in the restframe and is the lifetime in the restframe.

Reference: https://doi.org/10.1007/JHEP04(2023)090

Propagation is computed by exponentiating the Hamiltonian directly instead of solving the eigensystem. This is done with the Eigen library.

Author

Victor Carretero - vcarretero@km3net.de

Joao Coelho - jcoelho@apc.in2p3.fr

Definition at line 30 of file PMNS_Decay.h.

Constructor & Destructor Documentation

PMNS_Decay()

PMNS_Decay::PMNS_Decay

(

)

Constructor.

See also

PMNS_Base::PMNS_Base

This class is restricted to 3 neutrino flavours.

Definition at line 26 of file PMNS_Decay.cxx.

                       : PMNS_Base()
{
  fAlpha = vectorD(fNumNus, 0);
  fHam   = Eigen::Matrix3cd(fNumNus, fNumNus);
  fHd    = matrixC(fNumNus, vectorC(fNumNus, zero));
}

References fAlpha, fHam, fHd, OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::zero.

~PMNS_Decay()

PMNS_Decay::~PMNS_Decay ( )

virtual

Nothing to clean.

Definition at line 37 of file PMNS_Decay.cxx.

{}

Member Function Documentation

AddPath() [1/2]

void PMNS_Base::AddPath ( double  length, double  density, double  zoa = 0.5, int  layer = 0  )

virtualinherited

Add a path to the sequence defining attributes directly.

Parameters

length	- The length of the path segment in km
density	- The density of the path segment in g/cm^3
zoa	- The effective Z/A of the path segment
layer	- An index to identify the layer type (e.g. earth inner core)

Definition at line 317 of file PMNS_Base.cxx.

{
  AddPath(NuPath(length, density, zoa, layer));
}

References OscProb::PMNS_Base::AddPath().

AddPath() [2/2]

void PMNS_Base::AddPath ( NuPath  p )

virtualinherited

Add a path to the sequence.

Parameters

p	- A neutrino path segment

Definition at line 307 of file PMNS_Base.cxx.

{ fNuPaths.push_back(p); }

References OscProb::PMNS_Base::fNuPaths.

Referenced by OscProb::PMNS_Base::AddPath(), OscProb::PMNS_Base::SetAtt(), OscProb::PMNS_Base::SetPath(), and SetTestPath().

AvgProb() [1/2]

double PMNS_Base::AvgProb ( int  flvi, int  flvf, double  E, double  dE = 0  )

virtualinherited

Compute the average probability of flvi going to flvf over a bin of energy E with width dE.

This gets transformed into L/E, since the oscillation terms have arguments linear in L/E and not E.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller energy ranges.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
flvf	- The neutrino final flavour.
E	- The neutrino energy in the bin center in GeV
dE	- The energy bin width in GeV

Returns

Average neutrino oscillation probability

Definition at line 1500 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
 
  return AvgProb(fNuState, flvf, E, dE);
}

References OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::fNuState, and OscProb::PMNS_Base::ResetToFlavour().

AvgProb() [2/2]

double PMNS_Base::AvgProb ( vectorC  nu_in, int  flvf, double  E, double  dE = 0  )

virtualinherited

Compute the average probability of nu_in going to flvf over a bin of energy E with width dE.

This gets transformed into L/E, since the oscillation terms have arguments linear in L/E and not E.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller energy ranges.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nu_in	- The neutrino initial state in flavour.
flvf	- The neutrino final flavour.
E	- The neutrino energy in the bin center in GeV
dE	- The energy bin width in GeV

Returns

Average neutrino oscillation probability

Definition at line 1568 of file PMNS_Base.cxx.

{
  // Do nothing if energy is not positive
  if (E <= 0) return 0;
 
  if (fNuPaths.empty()) return 0;
 
  // Don't average zero width
  if (dE <= 0) return Prob(nu_in, flvf, E);
 
  vectorD LoEbin = ConvertEtoLoE(E, dE);
 
  // Compute average in LoE
  return AvgProbLoE(nu_in, flvf, LoEbin[0], LoEbin[1]);
}

References OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::fNuPaths, and OscProb::PMNS_Base::Prob().

Referenced by OscProb::PMNS_Base::AvgProb(), CheckProb(), and SaveTestFile().

AvgProbLoE() [1/2]

double PMNS_Base::AvgProbLoE ( int  flvi, int  flvf, double  LoE, double  dLoE = 0  )

virtualinherited

Compute the average probability of flvi going to flvf over a bin of L/E with width dLoE.

The probabilities are weighted by (L/E)^-2 so that event density is flat in energy. This avoids giving too much weight to low energies. Better approximations would be achieved if we used an interpolated event density.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller L/E ranges.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
flvf	- The neutrino final flavour.
LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Returns

Average neutrino oscillation probability

Definition at line 1610 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
 
  return AvgProbLoE(fNuState, flvf, LoE, dLoE);
}

References OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::fNuState, and OscProb::PMNS_Base::ResetToFlavour().

AvgProbLoE() [2/2]

double PMNS_Base::AvgProbLoE ( vectorC  nu_in, int  flvf, double  LoE, double  dLoE = 0  )

virtualinherited

Compute the average probability of nu_in going to flvf over a bin of L/E with width dLoE.

The probabilities are weighted by (L/E)^-2 so that event density is flat in energy. This avoids giving too much weight to low energies. Better approximations would be achieved if we used an interpolated event density.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller L/E ranges.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nu_in	- The neutrino intial state in flavour basis.
flvf	- The neutrino final flavour.
LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Returns

Average neutrino oscillation probability

Definition at line 1643 of file PMNS_Base.cxx.

{
  // Do nothing if L/E is not positive
  if (LoE <= 0) return 0;
 
  if (fNuPaths.empty()) return 0;
 
  // Make sure fPath is set
  // Use average if multiple paths
  SetCurPath(AvgPath(fNuPaths));
 
  // Set the energy at bin center
  SetEnergy(fPath.length / LoE);
 
  // Don't average zero width
  if (dLoE <= 0) return Prob(nu_in, flvf);
 
  // Get sample points for this bin
  vectorD samples = GetSamplePoints(LoE, dLoE);
 
  // Variables to fill sample
  // probabilities and weights
  double sumw   = 0;
  double prob   = 0;
  double length = fPath.length;
 
  // Loop over all sample points
  for (int j = 0; j < int(samples.size()); j++) {
    // Set (L/E)^-2 weights
    double w = 1. / pow(samples[j], 2);
 
    // Add weighted probability
    prob += w * Prob(nu_in, flvf, length / samples[j]);
 
    // Increment sum of weights
    sumw += w;
  }
 
  // Return weighted average of probabilities
  return prob / sumw;
}

References OscProb::AvgPath(), OscProb::PMNS_Base::fNuPaths, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::GetSamplePoints(), OscProb::NuPath::length, OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::SetCurPath(), and OscProb::PMNS_Base::SetEnergy().

Referenced by OscProb::PMNS_Base::AvgProb(), and OscProb::PMNS_Base::AvgProbLoE().

AvgProbMatrix()

matrixD PMNS_Base::AvgProbMatrix ( int  nflvi, int  nflvf, double  E, double  dE = 0  )

virtualinherited

Compute the average probability matrix over a bin of energy

Compute the average probability matrix for nflvi and nflvf over a bin of energy E with width dE.

This gets transformed into L/E, since the oscillation terms have arguments linear in L/E and not E.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller energy ranges.

Parameters

nflvi	- The number of initial flavours in the matrix.
nflvf	- The number of final flavours in the matrix.
E	- The neutrino energy in the bin center in GeV
dE	- The energy bin width in GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1861 of file PMNS_Base.cxx.

{
  matrixD probs(nflvi, vectorD(nflvf, 0));
 
  // Do nothing if energy is not positive
  if (E <= 0) return probs;
 
  if (fNuPaths.empty()) return probs;
 
  // Don't average zero width
  if (dE <= 0) return ProbMatrix(nflvi, nflvf, E);
 
  vectorD LoEbin = ConvertEtoLoE(E, dE);
 
  // Compute average in LoE
  return AvgProbMatrixLoE(nflvi, nflvf, LoEbin[0], LoEbin[1]);
}

References OscProb::PMNS_Base::AvgProbMatrixLoE(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::fNuPaths, and OscProb::PMNS_Base::ProbMatrix().

AvgProbMatrixLoE()

matrixD PMNS_Base::AvgProbMatrixLoE ( int  nflvi, int  nflvf, double  LoE, double  dLoE = 0  )

virtualinherited

Compute the average probability matrix for nflvi and nflvf over a bin of L/E with width dLoE.

The probabilities are weighted by (L/E)^-2 so that event density is flat in energy. This avoids giving too much weight to low energies. Better approximations would be achieved if we used an interpolated event density.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller L/E ranges.

Parameters

nflvi	- The number of initial flavours in the matrix.
nflvf	- The number of final flavours in the matrix.
LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1900 of file PMNS_Base.cxx.

{
  matrixD probs(nflvi, vectorD(nflvf, 0));
 
  // Do nothing if L/E is not positive
  if (LoE <= 0) return probs;
 
  if (fNuPaths.empty()) return probs;
 
  // Make sure fPath is set
  // Use average if multiple paths
  SetCurPath(AvgPath(fNuPaths));
 
  // Set the energy at bin center
  SetEnergy(fPath.length / LoE);
 
  // Don't average zero width
  if (dLoE <= 0) return ProbMatrix(nflvi, nflvf);
 
  // Get sample points for this bin
  vectorD samples = GetSamplePoints(LoE, dLoE);
 
  // Variables to fill sample
  // probabilities and weights
  double sumw   = 0;
  double length = fPath.length;
 
  // Loop over all sample points
  for (int j = 0; j < int(samples.size()); j++) {
    // Set (L/E)^-2 weights
    double w = 1. / pow(samples[j], 2);
 
    matrixD sample_probs = ProbMatrix(nflvi, nflvf, length / samples[j]);
 
    for (int flvi = 0; flvi < nflvi; flvi++) {
      for (int flvf = 0; flvf < nflvf; flvf++) {
        // Add weighted probability
        probs[flvi][flvf] += w * sample_probs[flvi][flvf];
      }
    }
    // Increment sum of weights
    sumw += w;
  }
 
  for (int flvi = 0; flvi < nflvi; flvi++) {
    for (int flvf = 0; flvf < nflvf; flvf++) {
      // Divide by total sampling weight
      probs[flvi][flvf] /= sumw;
    }
  }
 
  // Return weighted average of probabilities
  return probs;
}

References OscProb::AvgPath(), OscProb::PMNS_Base::fNuPaths, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::GetSamplePoints(), OscProb::NuPath::length, OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_Base::SetCurPath(), and OscProb::PMNS_Base::SetEnergy().

Referenced by OscProb::PMNS_Base::AvgProbMatrix().

AvgProbVector() [1/2]

vectorD PMNS_Base::AvgProbVector ( int  flvi, double  E, double  dE = 0  )

virtualinherited

Compute the average probability vector over a bin of energy

Compute the average probability of nu_in going to all flavours over a bin of energy E with width dE.

This gets transformed into L/E, since the oscillation terms have arguments linear in L/E and not E.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller energy ranges.

Parameters

flvi	- The neutrino starting flavour.
E	- The neutrino energy in the bin center in GeV
dE	- The energy bin width in GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1729 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
  return AvgProbVector(fNuState, E, dE);
}

References OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::fNuState, and OscProb::PMNS_Base::ResetToFlavour().

AvgProbVector() [2/2]

vectorD PMNS_Base::AvgProbVector ( vectorC  nu_in, double  E, double  dE = 0  )

virtualinherited

Compute the average probability vector over a bin of energy

Compute the average probability of nu_in going to all flavours over a bin of energy E with width dE.

This gets transformed into L/E, since the oscillation terms have arguments linear in L/E and not E.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller energy ranges.

Parameters

nu_in	- The neutrino initial state in flavour.
E	- The neutrino energy in the bin center in GeV
dE	- The energy bin width in GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1753 of file PMNS_Base.cxx.

{
  vectorD probs(fNumNus, 0);
 
  // Do nothing if energy is not positive
  if (E <= 0) return probs;
 
  if (fNuPaths.empty()) return probs;
 
  // Don't average zero width
  if (dE <= 0) return ProbVector(nu_in, E);
 
  vectorD LoEbin = ConvertEtoLoE(E, dE);
 
  // Compute average in LoE
  return AvgProbVectorLoE(nu_in, LoEbin[0], LoEbin[1]);
}

References OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuPaths, and OscProb::PMNS_Base::ProbVector().

Referenced by OscProb::PMNS_Base::AvgProbVector().

AvgProbVectorLoE() [1/2]

vectorD PMNS_Base::AvgProbVectorLoE ( int  flvi, double  LoE, double  dLoE = 0  )

virtualinherited

Compute the average probability of flvi going to all flavours over a bin of L/E with width dLoE.

The probabilities are weighted by (L/E)^-2 so that event density is flat in energy. This avoids giving too much weight to low energies. Better approximations would be achieved if we used an interpolated event density.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller L/E ranges.

Parameters

flvi	- The neutrino starting flavour.
LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1705 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
  return AvgProbVectorLoE(fNuState, LoE, dLoE);
}

References OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::fNuState, and OscProb::PMNS_Base::ResetToFlavour().

AvgProbVectorLoE() [2/2]

vectorD PMNS_Base::AvgProbVectorLoE ( vectorC  nu_in, double  LoE, double  dLoE = 0  )

virtualinherited

Compute the average probability of nu_in going to all flavours over a bin of L/E with width dLoE.

The probabilities are weighted by (L/E)^-2 so that event density is flat in energy. This avoids giving too much weight to low energies. Better approximations would be achieved if we used an interpolated event density.

This function works best for single paths. In multiple paths the accuracy may be somewhat worse. If needed, average over smaller L/E ranges.

Parameters

nu_in	- The neutrino intial state in flavour basis.
LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Returns

Average neutrino oscillation probabilities

Definition at line 1791 of file PMNS_Base.cxx.

{
  vectorD probs(fNumNus, 0);
 
  // Do nothing if L/E is not positive
  if (LoE <= 0) return probs;
 
  if (fNuPaths.empty()) return probs;
 
  // Make sure fPath is set
  // Use average if multiple paths
  SetCurPath(AvgPath(fNuPaths));
 
  // Set the energy at bin center
  SetEnergy(fPath.length / LoE);
 
  // Don't average zero width
  if (dLoE <= 0) return ProbVector(nu_in);
 
  // Get sample points for this bin
  vectorD samples = GetSamplePoints(LoE, dLoE);
 
  // Variables to fill sample
  // probabilities and weights
  double sumw   = 0;
  double length = fPath.length;
 
  // Loop over all sample points
  for (int j = 0; j < int(samples.size()); j++) {
    // Set (L/E)^-2 weights
    double w = 1. / pow(samples[j], 2);
 
    vectorD sample_probs = ProbVector(nu_in, length / samples[j]);
 
    for (int i = 0; i < fNumNus; i++) {
      // Add weighted probability
      probs[i] += w * sample_probs[i];
    }
    // Increment sum of weights
    sumw += w;
  }
 
  for (int i = 0; i < fNumNus; i++) {
    // Divide by total sampling weight
    probs[i] /= sumw;
  }
 
  // Return weighted average of probabilities
  return probs;
}

References OscProb::AvgPath(), OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuPaths, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::GetSamplePoints(), OscProb::NuPath::length, OscProb::PMNS_Base::ProbVector(), OscProb::PMNS_Base::SetCurPath(), and OscProb::PMNS_Base::SetEnergy().

Referenced by OscProb::PMNS_Base::AvgProbVector(), and OscProb::PMNS_Base::AvgProbVectorLoE().

BuildHms()

void PMNS_Decay::BuildHms ( )

protectedvirtual

Implement building decay hamiltonian

Construct the total Hms+Hd

Reimplemented from OscProb::PMNS_Base.

Definition at line 140 of file PMNS_Decay.cxx.

{
  // Check if anything changed
  if (fBuiltHms) return;
 
  // Tag to recompute eigensystem
  fGotES = false;
 
  for (int j = 0; j < fNumNus; j++) {
    // Set mass splitting
    fHms[j][j] = fDm[j];
    fHd[j][j]  = fAlpha[j];
    // Reset off-diagonal elements
    for (int i = 0; i < j; i++) {
      fHms[i][j] = 0;
      fHd[i][j]  = 0;
    }
    // Rotate j neutrinos
    for (int i = 0; i < j; i++) {
      RotateH(i, j, fHms);
      RotateH(i, j, fHd);
    }
  }
 
  // Taking care of antineutrinos delta-> -delta and filling the upper triangle
  // because final hamiltonian will be non-hermitian.
  for (int i = 0; i < fNumNus; i++) {
    for (int j = i + 1; j < fNumNus; j++) {
      if (fIsNuBar) {
        fHms[i][j] = conj(fHms[i][j]);
        fHd[i][j]  = conj(fHd[i][j]);
      }
      fHms[j][i] = conj(fHms[i][j]);
      fHd[j][i]  = conj(fHd[i][j]);
    }
  }
 
  const complexD numi(0.0, 1.0);
  for (int j = 0; j < fNumNus; j++) {
    for (int i = 0; i < fNumNus; i++) {
      fHms[i][j] = fHms[i][j] - numi * fHd[i][j];
    }
  }
 
  // Clear eigensystem cache
  // ClearCache();
 
  // Tag as built
  fBuiltHms = true;
}

References fAlpha, OscProb::PMNS_Base::fBuiltHms, OscProb::PMNS_Base::fDm, OscProb::PMNS_Base::fGotES, fHd, OscProb::PMNS_Base::fHms, OscProb::PMNS_Base::fIsNuBar, OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::RotateH().

Referenced by PropagatePath(), and SolveHam().

ClearCache()

void PMNS_Base::ClearCache ( )

virtualinherited

Clear the cache

Definition at line 111 of file PMNS_Base.cxx.

{
  fMixCache.clear();
 
  // Set some better hash table parameters
  fMixCache.max_load_factor(0.25);
  fMixCache.reserve(512);
}

References OscProb::PMNS_Base::fMixCache.

Referenced by OscProb::PMNS_Base::BuildHms(), OscProb::PMNS_Base::PMNS_Base(), OscProb::PMNS_NUNM::SetAlpha(), OscProb::PMNS_LIV::SetaT(), OscProb::PMNS_NSI::SetCoupByIndex(), OscProb::PMNS_LIV::SetcT(), OscProb::PMNS_NSI::SetEps(), and OscProb::PMNS_NUNM::SetFracVnc().

ClearPath()

void PMNS_Base::ClearPath ( )

virtualinherited

Clear the path vector.

Definition at line 287 of file PMNS_Base.cxx.

{ fNuPaths.clear(); }

References OscProb::PMNS_Base::fNuPaths.

Referenced by OscProb::PMNS_Base::SetAtt(), and OscProb::PMNS_Base::SetPath().

ConvertEtoLoE()

vectorD PMNS_Base::ConvertEtoLoE ( double  E, double  dE  )

protectedvirtualinherited

Convert a bin of energy into a bin of L/E

Parameters

E	- energy bin center in GeV
dE	- energy bin width in GeV

Returns

The L/E bin center and width in km/GeV

Definition at line 1516 of file PMNS_Base.cxx.

{
  // Make sure fPath is set
  // Use average if multiple paths
  SetCurPath(AvgPath(fNuPaths));
 
  // Define L/E variables
  vectorD LoEbin(2);
 
  // Set a minimum energy
  double minE = 0.1 * E;
 
  // Transform range to L/E
  // Full range if low edge > minE
  if (E - dE / 2 > minE) {
    LoEbin[0] =
        0.5 * (fPath.length / (E - dE / 2) + fPath.length / (E + dE / 2));
    LoEbin[1] = fPath.length / (E - dE / 2) - fPath.length / (E + dE / 2);
  }
  // Else start at minE
  else {
    LoEbin[0] = 0.5 * (fPath.length / minE + fPath.length / (E + dE / 2));
    LoEbin[1] = fPath.length / minE - fPath.length / (E + dE / 2);
  }
 
  return LoEbin;
}

References OscProb::AvgPath(), OscProb::PMNS_Base::fNuPaths, OscProb::PMNS_Base::fPath, OscProb::NuPath::length, and OscProb::PMNS_Base::SetCurPath().

Referenced by OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::AvgProbMatrix(), and OscProb::PMNS_Base::AvgProbVector().

FillCache()

void PMNS_Base::FillCache ( )

protectedvirtualinherited

If using caching, save the eigensystem in memory

Reimplemented in OscProb::PMNS_LIV, and OscProb::PMNS_SNSI.

Definition at line 157 of file PMNS_Base.cxx.

{
  if (fUseCache) {
    if (fMixCache.size() > fMaxCache) { fMixCache.erase(fMixCache.begin()); }
    fProbe.SetVars(fEnergy, fPath, fIsNuBar);
    for (int i = 0; i < fNumNus; i++) {
      fProbe.fEval[i] = fEval[i];
      for (int j = 0; j < fNumNus; j++) { fProbe.fEvec[i][j] = fEvec[i][j]; }
    }
    fMixCache.insert(fProbe);
  }
}

References OscProb::PMNS_Base::fEnergy, OscProb::EigenPoint::fEval, OscProb::PMNS_Base::fEval, OscProb::EigenPoint::fEvec, OscProb::PMNS_Base::fEvec, OscProb::PMNS_Base::fIsNuBar, OscProb::PMNS_Base::fMaxCache, OscProb::PMNS_Base::fMixCache, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::fProbe, OscProb::PMNS_Base::fUseCache, and OscProb::EigenPoint::SetVars().

Referenced by OscProb::PMNS_Fast::SolveHam(), and OscProb::PMNS_Sterile::SolveHam().

GetAlpha2()

double PMNS_Decay::GetAlpha2 ( )

virtual

Get alpha2 parameter

Returns

alpha2

Definition at line 134 of file PMNS_Decay.cxx.

{ return fAlpha[1]; }

References fAlpha.

GetAlpha3()

double PMNS_Decay::GetAlpha3 ( )

virtual

Get alpha3 parameter

Returns

alpha3

Definition at line 126 of file PMNS_Decay.cxx.

{ return fAlpha[2]; }

References fAlpha.

GetAngle()

double PMNS_Base::GetAngle ( int  i, int  j  )

virtualinherited

Get the mixing angle theta_ij in radians.

Requires that i<j. Will notify you if input is wrong. If i>j, will assume reverse order and swap i and j.

Parameters

i,j	- the indices of theta_ij

Definition at line 570 of file PMNS_Base.cxx.

{
  if (i > j) {
    cerr << "WARNING: First argument should be smaller than second argument"
         << endl
         << "         Setting reverse order (Theta" << j << i << "). " << endl;
    int temp = i;
    i        = j;
    j        = temp;
  }
  if (i < 1 || i > fNumNus - 1 || j < 2 || j > fNumNus) {
    cerr << "ERROR: Theta" << i << j << " not valid for " << fNumNus
         << " neutrinos. Returning zero." << endl;
    return 0;
  }
 
  return fTheta[i - 1][j - 1];
}

References OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::fTheta.

GetDelta()

double PMNS_Base::GetDelta ( int  i, int  j  )

virtualinherited

Get the CP phase delta_ij in radians.

Requires that i+1<j. Will notify you if input is wrong. If i>j, will assume reverse order and swap i and j.

Parameters

i,j	- the indices of delta_ij

Definition at line 638 of file PMNS_Base.cxx.

{
  if (i > j) {
    cerr << "WARNING: First argument should be smaller than second argument"
         << endl
         << "         Setting reverse order (Delta" << j << i << "). " << endl;
    int temp = i;
    i        = j;
    j        = temp;
  }
  if (i < 1 || i > fNumNus - 1 || j < 2 || j > fNumNus) {
    cerr << "ERROR: Delta" << i << j << " not valid for " << fNumNus
         << " neutrinos. Returning zero." << endl;
    return 0;
  }
  if (i + 1 == j) {
    cerr << "WARNING: Rotation " << i << j << " is real. Returning zero."
         << endl;
    return 0;
  }
 
  return fDelta[i - 1][j - 1];
}

References OscProb::PMNS_Base::fDelta, and OscProb::PMNS_Base::fNumNus.

GetDm()

double PMNS_Base::GetDm ( int  j )

virtualinherited

Get the mass-splitting dm_j1 = (m_j^2 - m_1^2) in eV^2

Requires that j>1. Will notify you if input is wrong.

Parameters

j	- the index of dm_j1

Definition at line 696 of file PMNS_Base.cxx.

{
  if (j < 2 || j > fNumNus) {
    cerr << "ERROR: Dm" << j << "1 not valid for " << fNumNus
         << " neutrinos. Returning zero." << endl;
    return 0;
  }
 
  return fDm[j - 1];
}

References OscProb::PMNS_Base::fDm, and OscProb::PMNS_Base::fNumNus.

GetDmEff()

double PMNS_Base::GetDmEff ( int  j )

virtualinherited

Get the effective mass-splitting dm_j1 in matter in eV^2

Requires that j>1. Will notify you if input is wrong.

Parameters

j	- the index of dm_j1

Definition at line 732 of file PMNS_Base.cxx.

{
  if (j < 2 || j > fNumNus) {
    cerr << "ERROR: Dm_" << j << "1 not valid for " << fNumNus
         << " neutrinos. Returning zero." << endl;
    return 0;
  }
 
  // Solve the Hamiltonian to update eigenvalues
  SolveHam();
 
  // Sort eigenvalues in same order as vacuum Dm^2
  vectorI dm_idx = GetSortedIndices(fDm);
  vectorD dm_idx_double(dm_idx.begin(), dm_idx.end());
  dm_idx         = GetSortedIndices(dm_idx_double);
  vectorI ev_idx = GetSortedIndices(fEval);
 
  // Return difference in eigenvalues * 2E
  return (fEval[ev_idx[dm_idx[j - 1]]] - fEval[ev_idx[dm_idx[0]]]) * 2 *
         fEnergy * kGeV2eV;
}

References OscProb::PMNS_Base::fDm, OscProb::PMNS_Base::fEnergy, OscProb::PMNS_Base::fEval, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::GetSortedIndices(), OscProb::PMNS_Base::kGeV2eV, and OscProb::PMNS_Base::SolveHam().

GetEnergy()

double PMNS_Base::GetEnergy ( )

virtualinherited

Get the neutrino energy in GeV.

Definition at line 255 of file PMNS_Base.cxx.

{ return fEnergy; }

References OscProb::PMNS_Base::fEnergy.

GetIsNuBar()

bool PMNS_Base::GetIsNuBar ( )

virtualinherited

Get the anti-neutrino flag.

Definition at line 261 of file PMNS_Base.cxx.

{ return fIsNuBar; }

References OscProb::PMNS_Base::fIsNuBar.

GetMassEigenstate()

vectorC PMNS_Base::GetMassEigenstate ( int  mi )

virtualinherited

Get the neutrino mass eigenstate in vacuum

States are:

  0 = m_1, 1 = m_2, 2 = m_3, etc.

Parameters

mi	- the mass eigenstate index

Returns

The mass eigenstate

Definition at line 795 of file PMNS_Base.cxx.

{
  vectorC oldState = fNuState;
 
  ResetToFlavour(mi);
 
  for (int j = 0; j < fNumNus; j++) {
    for (int i = 0; i < j; i++) { RotateState(i, j); }
  }
 
  vectorC newState = fNuState;
  fNuState         = oldState;
 
  return newState;
}

References OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuState, OscProb::PMNS_Base::ResetToFlavour(), and OscProb::PMNS_Base::RotateState().

GetPath()

vector< NuPath > PMNS_Base::GetPath ( )

virtualinherited

Get the vector of neutrino paths.

Definition at line 300 of file PMNS_Base.cxx.

{ return fNuPaths; }

References OscProb::PMNS_Base::fNuPaths.

GetProbVector()

vectorD PMNS_Base::GetProbVector ( )

protectedvirtualinherited

Return vector of probabilities from final state

Get the vector of probabilities for current state

Returns

Neutrino oscillation probabilities

Definition at line 1233 of file PMNS_Base.cxx.

{
  vectorD probs(fNumNus);
 
  for (int i = 0; i < probs.size(); i++) { probs[i] = P(i); }
 
  return probs;
}

References OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::P().

Referenced by OscProb::PMNS_Base::ProbVector().

GetSamplePoints()

vectorD PMNS_Base::GetSamplePoints ( double  LoE, double  dLoE  )

virtualinherited

Compute the sample points for a bin of L/E with width dLoE

This is used for averaging the probability over a bin of L/E. It should be a private function, but I'm keeping it public for now for debugging purposes. The number of sample points seems too high for most purposes. The number of subdivisions needs to be optimized.

Parameters

LoE	- The neutrino L/E value in the bin center in km/GeV
dLoE	- The L/E bin width in km/GeV

Definition at line 1985 of file PMNS_Base.cxx.

{
  // Solve Hamiltonian to get eigenvalues
  SolveHam();
 
  // Define conversion factor [km/GeV -> 1/(4 eV^2)]
  const double k1267 = kKm2eV / (4 * kGeV2eV);
 
  // Get list of all effective Dm^2
  vectorD effDm;
 
  for (int i = 0; i < fNumNus - 1; i++) {
    for (int j = i + 1; j < fNumNus; j++) {
      effDm.push_back(2 * kGeV2eV * fEnergy * fabs(fEval[j] - fEval[i]));
    }
  }
 
  int numDm = effDm.size();
 
  // Sort the effective Dm^2 list
  sort(effDm.begin(), effDm.end());
 
  // Set a number of sub-divisions to achieve "good" accuracy
  // This needs to be studied better
  int n_div = ceil(200 * pow(dLoE / LoE, 0.8) / sqrt(fAvgProbPrec / 1e-4));
  // int n_div = 1;
 
  // A vector to store sample points
  vectorD allSamples;
 
  // Loop over sub-divisions
  for (int k = 0; k < n_div; k++) {
    // Define sub-division center and width
    double bctr = LoE - dLoE / 2 + (k + 0.5) * dLoE / n_div;
    double bwdt = dLoE / n_div;
 
    // Make a vector of L/E sample values
    // Initialized in the sub-division center
    vectorD samples;
    samples.push_back(bctr);
 
    // Loop over all Dm^2 to average each frequency
    // This will recursively sample points in smaller
    // bins so that all relevant frequencies are used
    for (int i = 0; i < numDm; i++) {
      // Copy the list of sample L/E values
      vectorD prev = samples;
 
      // Redefine bin width to lie within full sub-division
      double Width =
          2 * min(prev[0] - (bctr - bwdt / 2), (bctr + bwdt / 2) - prev[0]);
 
      // Compute oscillation argument sorted from lowest  to highest
      const double arg = k1267 * effDm[i] * Width;
 
      // Skip small oscillation values.
      // If it's the last one, lower the tolerance
      if (i < numDm - 1) {
        if (arg < 0.9) continue;
      }
      else {
        if (arg < 0.1) continue;
      }
 
      // Reset samples to redefine them
      samples.clear();
 
      // Loop over previous samples
      for (int j = 0; j < int(prev.size()); j++) {
        // Compute new sample points around old samples
        // This is based on a oscillatory quadrature rule
        double sample = (1 / sqrt(3)) * (Width / 2);
        if (arg != 0) sample = acos(sin(arg) / arg) / arg * (Width / 2);
 
        // Add samples above and below center
        samples.push_back(prev[j] - sample);
        samples.push_back(prev[j] + sample);
      }
 
    } // End of loop over Dm^2
 
    // Add sub-division samples to the end of allSamples vector
    allSamples.insert(allSamples.end(), samples.begin(), samples.end());
 
  } // End of loop over sub-divisions
 
  // Return all sample points
  return allSamples;
}

References OscProb::PMNS_Base::fAvgProbPrec, OscProb::PMNS_Base::fEnergy, OscProb::PMNS_Base::fEval, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::kGeV2eV, OscProb::PMNS_Base::kKm2eV, and OscProb::PMNS_Base::SolveHam().

Referenced by OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbMatrixLoE(), and OscProb::PMNS_Base::AvgProbVectorLoE().

GetSortedIndices()

vectorI PMNS_Base::GetSortedIndices ( const vectorD  x )

protectedvirtualinherited

Get the indices of the sorted x vector

Parameters

x	- input vector

Returns

The vector of sorted indices

Definition at line 715 of file PMNS_Base.cxx.

{
  vectorI idx(x.size(), 0);
  for (int i = 0; i < x.size(); i++) idx[i] = i;
  sort(idx.begin(), idx.end(), IdxCompare(x));
 
  return idx;
}

Referenced by OscProb::PMNS_Base::GetDmEff().

InitializeVectors()

void PMNS_Base::InitializeVectors ( )

protectedvirtualinherited

Initialize all member vectors with zeros

Set vector sizes and initialize elements to zero.

Definition at line 79 of file PMNS_Base.cxx.

{
  fDm    = vectorD(fNumNus, 0);
  fTheta = matrixD(fNumNus, vectorD(fNumNus, 0));
  fDelta = matrixD(fNumNus, vectorD(fNumNus, 0));
 
  fNuState = vectorC(fNumNus, zero);
  fHms     = matrixC(fNumNus, vectorC(fNumNus, zero));
 
  fPhases = vectorC(fNumNus, zero);
  fBuffer = vectorC(fNumNus, zero);
 
  fEval = vectorD(fNumNus, 0);
  fEvec = matrixC(fNumNus, vectorC(fNumNus, zero));
}

Referenced by OscProb::PMNS_Base::PMNS_Base().

P()

double PMNS_Base::P ( int  flv )

protectedvirtualinherited

Compute oscillation probability of flavour flv from current state

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flv	- The neutrino final flavour.

Returns

Neutrino oscillation probability

Reimplemented in OscProb::PMNS_Deco.

Definition at line 1058 of file PMNS_Base.cxx.

{
  assert(flv >= 0 && flv < fNumNus);
  return norm(fNuState[flv]);
}

References OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::fNuState.

Referenced by OscProb::PMNS_Base::GetProbVector(), and OscProb::PMNS_Base::Prob().

Prob() [1/6]

double PMNS_Base::Prob ( int  flvi, int  flvf  )

virtualinherited

Compute the probability of flvi going to flvf.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
flvf	- The neutrino final flavour.

Returns

Neutrino oscillation probability

Definition at line 1091 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
 
  Propagate();
 
  return P(flvf);
}

References OscProb::PMNS_Base::P(), OscProb::PMNS_Base::Propagate(), and OscProb::PMNS_Base::ResetToFlavour().

Prob() [2/6]

double PMNS_Base::Prob ( int  flvi, int  flvf, double  E  )

virtualinherited

Compute the probability of flvi going to flvf for energy E

Compute the probability of flvi going to flvf for a given energy in GeV.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
flvf	- The neutrino final flavour.
E	- The neutrino energy in GeV

Returns

Neutrino oscillation probability

Definition at line 1160 of file PMNS_Base.cxx.

{
  SetEnergy(E);
 
  return Prob(flvi, flvf);
}

References OscProb::PMNS_Base::Prob(), and OscProb::PMNS_Base::SetEnergy().

Prob() [3/6]

double PMNS_Base::Prob ( int  flvi, int  flvf, double  E, double  L  )

virtualinherited

Compute the probability of flvi going to flvf for energy E and distance L

Compute the probability of flvi going to flvf for a given energy in GeV and distance in km in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost.

Don't use this if you want to propagate over multiple path segments.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
flvf	- The neutrino final flavour.
E	- The neutrino energy in GeV
L	- The neutrino path length in km

Returns

Neutrino oscillation probability

Definition at line 1219 of file PMNS_Base.cxx.

{
  SetEnergy(E);
  SetLength(L);
 
  return Prob(flvi, flvf);
}

References OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::SetEnergy(), and OscProb::PMNS_Base::SetLength().

Prob() [4/6]

double PMNS_Base::Prob ( vectorC  nu_in, int  flvf  )

virtualinherited

Compute the probability of nu_in going to flvf.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nu_in	- The neutrino initial state in flavour basis.
flvf	- The neutrino final flavour.

Returns

Neutrino oscillation probability

Definition at line 1114 of file PMNS_Base.cxx.

{
  SetPureState(nu_in);
 
  Propagate();
 
  return P(flvf);
}

References OscProb::PMNS_Base::P(), OscProb::PMNS_Base::Propagate(), and OscProb::PMNS_Base::SetPureState().

Referenced by OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::AvgProbLoE(), and OscProb::PMNS_Base::Prob().

Prob() [5/6]

double PMNS_Base::Prob ( vectorC  nu_in, int  flvf, double  E  )

virtualinherited

Compute the probability of nu_in going to flvf for energy E

Compute the probability of nu_in going to flvf for a given energy in GeV.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nu_in	- The neutrino initial state in flavour basis.
flvf	- The neutrino final flavour.
E	- The neutrino energy in GeV

Returns

Neutrino oscillation probability

Definition at line 1138 of file PMNS_Base.cxx.

{
  SetEnergy(E);
 
  return Prob(nu_in, flvf);
}

References OscProb::PMNS_Base::Prob(), and OscProb::PMNS_Base::SetEnergy().

Prob() [6/6]

double PMNS_Base::Prob ( vectorC  nu_in, int  flvf, double  E, double  L  )

virtualinherited

Compute the probability of nu_in going to flvf for energy E and distance L

Compute the probability of nu_in going to flvf for a given energy in GeV and distance in km in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost.

Don't use this if you want to propagate over multiple path segments.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nu_in	- The neutrino initial state in flavour basis.
flvf	- The neutrino final flavour.
E	- The neutrino energy in GeV
L	- The neutrino path length in km

Returns

Neutrino oscillation probability

Definition at line 1189 of file PMNS_Base.cxx.

{
  SetEnergy(E);
  SetLength(L);
 
  return Prob(nu_in, flvf);
}

References OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::SetEnergy(), and OscProb::PMNS_Base::SetLength().

ProbMatrix() [1/3]

matrixD PMNS_Base::ProbMatrix ( int  nflvi, int  nflvf  )

virtualinherited

Compute the probability matrix for the first nflvi and nflvf states.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nflvi	- The number of initial flavours in the matrix.
nflvf	- The number of final flavours in the matrix.

Returns

Neutrino oscillation probabilities

Reimplemented in OscProb::PMNS_Deco, OscProb::PMNS_Deco, and OscProb::PMNS_NUNM.

Definition at line 1387 of file PMNS_Base.cxx.

{
  assert(nflvi <= fNumNus && nflvi >= 0);
  assert(nflvf <= fNumNus && nflvf >= 0);
 
  // Output probabilities
  matrixD probs(nflvi, vectorD(nflvf));
 
  // List of states
  matrixC allstates(nflvi, vectorC(fNumNus));
 
  // Reset all initial states
  for (int i = 0; i < nflvi; i++) {
    ResetToFlavour(i);
    allstates[i] = fNuState;
  }
 
  // Propagate all states in parallel
  for (int i = 0; i < int(fNuPaths.size()); i++) {
    for (int flvi = 0; flvi < nflvi; flvi++) {
      fNuState = allstates[flvi];
      PropagatePath(fNuPaths[i]);
      allstates[flvi] = fNuState;
    }
  }
 
  // Get all probabilities
  for (int flvi = 0; flvi < nflvi; flvi++) {
    for (int flvj = 0; flvj < nflvf; flvj++) {
      probs[flvi][flvj] = norm(allstates[flvi][flvj]);
    }
  }
 
  return probs;
}

References OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuPaths, OscProb::PMNS_Base::fNuState, OscProb::PMNS_Base::PropagatePath(), and OscProb::PMNS_Base::ResetToFlavour().

Referenced by OscProb::PMNS_Base::AvgProbMatrix(), OscProb::PMNS_Base::AvgProbMatrixLoE(), and OscProb::PMNS_Base::ProbMatrix().

ProbMatrix() [2/3]

matrixD PMNS_Base::ProbMatrix ( int  nflvi, int  nflvf, double  E  )

virtualinherited

Compute the probability matrix for the first nflvi and nflvf states for a given energy in GeV.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nflvi	- The number of initial flavours in the matrix.
nflvf	- The number of final flavours in the matrix.
E	- The neutrino energy in GeV

Returns

Neutrino oscillation probabilities

Reimplemented in OscProb::PMNS_Deco.

Definition at line 1439 of file PMNS_Base.cxx.

{
  SetEnergy(E);
 
  return ProbMatrix(nflvi, nflvf);
}

References OscProb::PMNS_Base::ProbMatrix(), and OscProb::PMNS_Base::SetEnergy().

ProbMatrix() [3/3]

matrixD PMNS_Base::ProbMatrix ( int  nflvi, int  nflvf, double  E, double  L  )

virtualinherited

Compute the probability matrix for energy E and distance L

Compute the probability matrix for the first nflvi and nflvf states for a given energy in GeV and distance in km in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost.

Don't use this if you want to propagate over multiple path segments.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

nflvi	- The number of initial flavours in the matrix.
nflvf	- The number of final flavours in the matrix.
E	- The neutrino energy in GeV
L	- The neutrino path length in km

Returns

Neutrino oscillation probabilities

Reimplemented in OscProb::PMNS_Deco.

Definition at line 1468 of file PMNS_Base.cxx.

{
  SetEnergy(E);
  SetLength(L);
 
  return ProbMatrix(nflvi, nflvf);
}

References OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_Base::SetEnergy(), and OscProb::PMNS_Base::SetLength().

ProbVector() [1/6]

vectorD PMNS_Base::ProbVector ( int  flvi )

virtualinherited

Compute the probabilities of flvi going to all flavours

Compute the probability of flvi going to all flavours.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.

Returns

Neutrino oscillation probabilities

Definition at line 1272 of file PMNS_Base.cxx.

{
  ResetToFlavour(flvi);
 
  Propagate();
 
  return GetProbVector();
}

References OscProb::PMNS_Base::GetProbVector(), OscProb::PMNS_Base::Propagate(), and OscProb::PMNS_Base::ResetToFlavour().

ProbVector() [2/6]

vectorD PMNS_Base::ProbVector ( int  flvi, double  E  )

virtualinherited

Compute the probabilities of flvi going to all flavours for energy E

Compute the probability of flvi going to all flavours for a given energy in GeV.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
E	- The neutrino energy in GeV

Returns

Neutrino oscillation probability

Definition at line 1313 of file PMNS_Base.cxx.

{
  SetEnergy(E);
 
  return ProbVector(flvi);
}

References OscProb::PMNS_Base::ProbVector(), and OscProb::PMNS_Base::SetEnergy().

ProbVector() [3/6]

vectorD PMNS_Base::ProbVector ( int  flvi, double  E, double  L  )

virtualinherited

Compute the probabilities of flvi going to all flavours for energy E and distance L

Compute the probability of flvi going to all flavours for a given energy in GeV and distance in km in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost.

Don't use this if you want to propagate over multiple path segments.

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flvi	- The neutrino starting flavour.
E	- The neutrino energy in GeV
L	- The neutrino path length in km

Returns

Neutrino oscillation probability

Definition at line 1365 of file PMNS_Base.cxx.

{
  SetEnergy(E);
  SetLength(L);
 
  return ProbVector(flvi);
}

References OscProb::PMNS_Base::ProbVector(), OscProb::PMNS_Base::SetEnergy(), and OscProb::PMNS_Base::SetLength().

ProbVector() [4/6]

vectorD PMNS_Base::ProbVector ( vectorC  nu_in )

virtualinherited

Compute the probabilities of nu_in going to all flavours

Compute the probability of nu_in going to all flavours.

Parameters

nu_in

- The neutrino initial state in flavour basis.

Returns

Neutrino oscillation probabilities

Definition at line 1250 of file PMNS_Base.cxx.

{
  SetPureState(nu_in);
 
  Propagate();
 
  return GetProbVector();
}

References OscProb::PMNS_Base::GetProbVector(), OscProb::PMNS_Base::Propagate(), and OscProb::PMNS_Base::SetPureState().

Referenced by OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::AvgProbVectorLoE(), and OscProb::PMNS_Base::ProbVector().

ProbVector() [5/6]

vectorD PMNS_Base::ProbVector ( vectorC  nu_in, double  E  )

virtualinherited

Compute the probabilities of nu_in going to all

Compute the probability of nu_in going to all flavours for a given energy in GeV.

Parameters

nu_in	- The neutrino initial state in flavour basis.
E	- The neutrino energy in GeV

Returns

Neutrino oscillation probabilities

Definition at line 1291 of file PMNS_Base.cxx.

{
  SetEnergy(E);
 
  return ProbVector(nu_in);
}

References OscProb::PMNS_Base::ProbVector(), and OscProb::PMNS_Base::SetEnergy().

ProbVector() [6/6]

vectorD PMNS_Base::ProbVector ( vectorC  nu_in, double  E, double  L  )

virtualinherited

Compute the probabilities of nu_in going to all flavours for energy E and distance L

Compute the probability of nu_in going to all flavours for a given energy in GeV and distance in km in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost.

Don't use this if you want to propagate over multiple path segments.

Parameters

nu_in	- The neutrino initial state in flavour basis.
E	- The neutrino energy in GeV
L	- The neutrino path length in km

Returns

Neutrino oscillation probabilities

Definition at line 1336 of file PMNS_Base.cxx.

{
  SetEnergy(E);
  SetLength(L);
 
  return ProbVector(nu_in);
}

References OscProb::PMNS_Base::ProbVector(), OscProb::PMNS_Base::SetEnergy(), and OscProb::PMNS_Base::SetLength().

Propagate()

void PMNS_Base::Propagate ( )

protectedvirtualinherited

Propagate neutrino state through full path

Reimplemented in OscProb::PMNS_NUNM.

Definition at line 1018 of file PMNS_Base.cxx.

{
  for (int i = 0; i < int(fNuPaths.size()); i++) { PropagatePath(fNuPaths[i]); }
}

References OscProb::PMNS_Base::fNuPaths, and OscProb::PMNS_Base::PropagatePath().

Referenced by OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::ProbVector(), and OscProb::PMNS_NUNM::Propagate().

PropagatePath()

void PMNS_Decay::PropagatePath ( NuPath  p )

protectedvirtual

Propagate the neutrino through a constant density path

Parameters

p	- The neutrino path

Reimplemented from OscProb::PMNS_Base.

Definition at line 255 of file PMNS_Decay.cxx.

{
  // Set the neutrino path
  SetCurPath(p);
 
  // Build Hamiltonian
  BuildHms();
  UpdateHam();
 
  double LengthIneV = kKm2eV * p.length;
 
  // Compute evolution operator exp(-I*H*L)
  Eigen::Matrix3cd H = fHam;
  H *= complexD(0, -LengthIneV);
  H = H.exp();
 
  // Propagate using evolution operator
  for (int i = 0; i < fNumNus; i++) {
    fBuffer[i] = 0;
    for (int j = 0; j < fNumNus; j++) { fBuffer[i] += H(i, j) * fNuState[j]; }
  }
 
  // Update neutrino state
  for (int i = 0; i < fNumNus; i++) { fNuState[i] = fBuffer[i]; }
}

References BuildHms(), OscProb::PMNS_Base::fBuffer, fHam, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuState, OscProb::PMNS_Base::kKm2eV, OscProb::NuPath::length, OscProb::PMNS_Base::SetCurPath(), and UpdateHam().

ResetToFlavour()

void PMNS_Base::ResetToFlavour ( int  flv )

protectedvirtualinherited

Reset the neutrino state back to a pure flavour where it starts

Flavours are:

  0 = nue, 1 = numu, 2 = nutau
  3 = sterile_1, 4 = sterile_2, etc.

Parameters

flv	- The neutrino starting flavour.

Reimplemented in OscProb::PMNS_Deco.

Definition at line 1034 of file PMNS_Base.cxx.

{
  assert(flv >= 0 && flv < fNumNus);
  for (int i = 0; i < fNumNus; ++i) {
    if (i == flv)
      fNuState[i] = one;
    else
      fNuState[i] = zero;
  }
}

References OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fNuState, OscProb::PMNS_Base::one, and OscProb::PMNS_Base::zero.

Referenced by OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::GetMassEigenstate(), OscProb::PMNS_Base::PMNS_Base(), OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_NUNM::ProbMatrix(), OscProb::PMNS_Base::ProbVector(), and OscProb::PMNS_Deco::ResetToFlavour().

RotateH()

void PMNS_Base::RotateH ( int  i, int  j, matrixC &  Ham  )

protectedvirtualinherited

Rotate the Hamiltonian by the angle theta_ij and phase delta_ij.

The rotations assume all off-diagonal elements with i > j are zero. This is correct if the order of rotations is chosen appropriately and it speeds up computation by skipping null terms

Parameters

i,j	- the indices of the rotation ij
Ham	- the Hamiltonian to be rotated

Definition at line 822 of file PMNS_Base.cxx.

{
  // Do nothing if angle is zero
  if (fTheta[i][j] == 0) return;
 
  double fSinBuffer = sin(fTheta[i][j]);
  double fCosBuffer = cos(fTheta[i][j]);
 
  double   fHmsBufferD;
  complexD fHmsBufferC;
 
  // With Delta
  if (i + 1 < j) {
    complexD fExpBuffer = complexD(cos(fDelta[i][j]), -sin(fDelta[i][j]));
 
    // General case
    if (i > 0) {
      // Top columns
      for (int k = 0; k < i; k++) {
        fHmsBufferC = Ham[k][i];
 
        Ham[k][i] *= fCosBuffer;
        Ham[k][i] += Ham[k][j] * fSinBuffer * conj(fExpBuffer);
 
        Ham[k][j] *= fCosBuffer;
        Ham[k][j] -= fHmsBufferC * fSinBuffer * fExpBuffer;
      }
 
      // Middle row and column
      for (int k = i + 1; k < j; k++) {
        fHmsBufferC = Ham[k][j];
 
        Ham[k][j] *= fCosBuffer;
        Ham[k][j] -= conj(Ham[i][k]) * fSinBuffer * fExpBuffer;
 
        Ham[i][k] *= fCosBuffer;
        Ham[i][k] += fSinBuffer * fExpBuffer * conj(fHmsBufferC);
      }
 
      // Nodes ij
      fHmsBufferC = Ham[i][i];
      fHmsBufferD = real(Ham[j][j]);
 
      Ham[i][i] *= fCosBuffer * fCosBuffer;
      Ham[i][i] +=
          2 * fSinBuffer * fCosBuffer * real(Ham[i][j] * conj(fExpBuffer));
      Ham[i][i] += fSinBuffer * Ham[j][j] * fSinBuffer;
 
      Ham[j][j] *= fCosBuffer * fCosBuffer;
      Ham[j][j] += fSinBuffer * fHmsBufferC * fSinBuffer;
      Ham[j][j] -=
          2 * fSinBuffer * fCosBuffer * real(Ham[i][j] * conj(fExpBuffer));
 
      Ham[i][j] -= 2 * fSinBuffer * real(Ham[i][j] * conj(fExpBuffer)) *
                   fSinBuffer * fExpBuffer;
      Ham[i][j] +=
          fSinBuffer * fCosBuffer * (fHmsBufferD - fHmsBufferC) * fExpBuffer;
    }
    // First rotation on j (No top columns)
    else {
      // Middle rows and columns
      for (int k = i + 1; k < j; k++) {
        Ham[k][j] = -conj(Ham[i][k]) * fSinBuffer * fExpBuffer;
 
        Ham[i][k] *= fCosBuffer;
      }
 
      // Nodes ij
      fHmsBufferD = real(Ham[i][i]);
 
      Ham[i][j] =
          fSinBuffer * fCosBuffer * (Ham[j][j] - fHmsBufferD) * fExpBuffer;
 
      Ham[i][i] *= fCosBuffer * fCosBuffer;
      Ham[i][i] += fSinBuffer * Ham[j][j] * fSinBuffer;
 
      Ham[j][j] *= fCosBuffer * fCosBuffer;
      Ham[j][j] += fSinBuffer * fHmsBufferD * fSinBuffer;
    }
  }
  // Without Delta (No middle rows or columns: j = i+1)
  else {
    // General case
    if (i > 0) {
      // Top columns
      for (int k = 0; k < i; k++) {
        fHmsBufferC = Ham[k][i];
 
        Ham[k][i] *= fCosBuffer;
        Ham[k][i] += Ham[k][j] * fSinBuffer;
 
        Ham[k][j] *= fCosBuffer;
        Ham[k][j] -= fHmsBufferC * fSinBuffer;
      }
 
      // Nodes ij
      fHmsBufferC = Ham[i][i];
      fHmsBufferD = real(Ham[j][j]);
 
      Ham[i][i] *= fCosBuffer * fCosBuffer;
      Ham[i][i] += 2 * fSinBuffer * fCosBuffer * real(Ham[i][j]);
      Ham[i][i] += fSinBuffer * Ham[j][j] * fSinBuffer;
 
      Ham[j][j] *= fCosBuffer * fCosBuffer;
      Ham[j][j] += fSinBuffer * fHmsBufferC * fSinBuffer;
      Ham[j][j] -= 2 * fSinBuffer * fCosBuffer * real(Ham[i][j]);
 
      Ham[i][j] -= 2 * fSinBuffer * real(Ham[i][j]) * fSinBuffer;
      Ham[i][j] += fSinBuffer * fCosBuffer * (fHmsBufferD - fHmsBufferC);
    }
    // First rotation (theta12)
    else {
      Ham[i][j] = fSinBuffer * fCosBuffer * Ham[j][j];
 
      Ham[i][i] = fSinBuffer * Ham[j][j] * fSinBuffer;
 
      Ham[j][j] *= fCosBuffer * fCosBuffer;
    }
  }
}

References OscProb::PMNS_Base::fDelta, and OscProb::PMNS_Base::fTheta.

Referenced by OscProb::PMNS_Base::BuildHms(), BuildHms(), and OscProb::PMNS_SNSI::BuildHms().

RotateState()

void PMNS_Base::RotateState ( int  i, int  j  )

protectedvirtualinherited

Rotate the neutrino state by the angle theta_ij and phase delta_ij.

Parameters

i,j	- the indices of the rotation ij

Definition at line 760 of file PMNS_Base.cxx.

{
  // Do nothing if angle is zero
  if (fTheta[i][j] == 0) return;
 
  double sij = sin(fTheta[i][j]);
  double cij = cos(fTheta[i][j]);
 
  complexD buffer;
 
  if (i + 1 == j || fDelta[i][j] == 0) {
    buffer      = cij * fNuState[i] + sij * fNuState[j];
    fNuState[j] = cij * fNuState[j] - sij * fNuState[i];
  }
  else {
    complexD eij = complexD(cos(fDelta[i][j]), -sin(fDelta[i][j]));
    buffer       = cij * fNuState[i] + sij * eij * fNuState[j];
    fNuState[j]  = cij * fNuState[j] - sij * conj(eij) * fNuState[i];
  }
 
  fNuState[i] = buffer;
}

References OscProb::PMNS_Base::fDelta, OscProb::PMNS_Base::fNuState, and OscProb::PMNS_Base::fTheta.

Referenced by OscProb::PMNS_Base::GetMassEigenstate().

SetAlpha2()

void PMNS_Decay::SetAlpha2 ( double  alpha2 )

virtual

Setting Alpha2 parameter, it must be possitive, and units are eV^2.

Parameters

alpha2

= m2/tau2, mass and lifetime of the 2nd state in the restframe

Definition at line 79 of file PMNS_Decay.cxx.

{
  if (alpha2 < 0) {
    cerr << "WARNING: Alpha2 must be positive. Doing nothing." << endl;
    return;
  }
 
  fBuiltHms *= (fAlpha[1] == alpha2);
  fAlpha[1] = alpha2;
}

References fAlpha, and OscProb::PMNS_Base::fBuiltHms.

SetAlpha3()

void PMNS_Decay::SetAlpha3 ( double  alpha3 )

virtual

Setting Alpha3 parameter, it must be possitive, and units are eV^2.

Parameters

alpha3

= m3/tau3, mass and lifetime of the 3rd state in the restframe

Definition at line 62 of file PMNS_Decay.cxx.

{
  if (alpha3 < 0) {
    cerr << "WARNING: Alpha3 must be positive. Doing nothing." << endl;
    return;
  }
 
  fBuiltHms *= (fAlpha[2] == alpha3);
  fAlpha[2] = alpha3;
}

References fAlpha, and OscProb::PMNS_Base::fBuiltHms.

Referenced by GetDecay().

SetAngle()

void PMNS_Base::SetAngle ( int  i, int  j, double  th  )

virtualinherited

Set the mixing angle theta_ij in radians.

Requires that i<j. Will notify you if input is wrong. If i>j, will assume reverse order and swap i and j.

This will check if value is changing to keep track of whether the hamiltonian needs to be rebuilt.

Parameters

i,j	- the indices of theta_ij
th	- the value of theta_ij

Definition at line 539 of file PMNS_Base.cxx.

{
  if (i > j) {
    cerr << "WARNING: First argument should be smaller than second argument"
         << endl
         << "         Setting reverse order (Theta" << j << i << "). " << endl;
    int temp = i;
    i        = j;
    j        = temp;
  }
  if (i < 1 || i > fNumNus - 1 || j < 2 || j > fNumNus) {
    cerr << "ERROR: Theta" << i << j << " not valid for " << fNumNus
         << " neutrinos. Doing nothing." << endl;
    return;
  }
 
  // Check if value is actually changing
  fBuiltHms *= (fTheta[i - 1][j - 1] == th);
 
  fTheta[i - 1][j - 1] = th;
}

References OscProb::PMNS_Base::fBuiltHms, OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::fTheta.

Referenced by GetSterile(), SetMix(), OscProb::PMNS_Fast::SetMix(), SetNominalPars(), and OscProb::PMNS_Base::SetStdPars().

SetAtt() [1/2]

void PMNS_Base::SetAtt ( double  att, int  idx  )

protectedvirtualinherited

Set some single path attribute.

An auxiliary function to set individual attributes in a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost. Use with care.

Parameters

att	- The value of the attribute
idx	- The index of the attribute (0,1,2,3) = (L, Rho, Z/A, Layer)

Definition at line 364 of file PMNS_Base.cxx.

{
  if (fNuPaths.size() != 1) {
    cerr << "WARNING: Clearing path vector and starting new single path."
         << endl
         << "To avoid possible issues, use the SetPath function." << endl;
 
    SetStdPath();
  }
 
  switch (idx) {
    case 0: fNuPaths[0].length = att; break;
    case 1: fNuPaths[0].density = att; break;
    case 2: fNuPaths[0].zoa = att; break;
    case 3: fNuPaths[0].layer = att; break;
  }
}

References OscProb::PMNS_Base::fNuPaths, and OscProb::PMNS_Base::SetStdPath().

Referenced by OscProb::PMNS_Base::SetDensity(), OscProb::PMNS_Base::SetLayers(), OscProb::PMNS_Base::SetLength(), and OscProb::PMNS_Base::SetZoA().

SetAtt() [2/2]

void PMNS_Base::SetAtt ( vectorD  att, int  idx  )

protectedvirtualinherited

Set all values of a path attribute.

An auxiliary function to set individual attributes in a path sequence.

If the path sequence is of a different size, a new path sequence will be created and the previous sequence will be lost. Use with care.

Parameters

att	- The values of the attribute
idx	- The index of the attribute (0,1,2,3) = (L, Rho, Z/A, Layer)

Definition at line 427 of file PMNS_Base.cxx.

{
  // Get the sizes of the attribute and
  // path sequence vectors
  int nA = att.size();
  int nP = fNuPaths.size();
 
  // If the vector sizes are equal, update this attribute
  if (nA == nP) {
    for (int i = 0; i < nP; i++) {
      switch (idx) {
        case 0: fNuPaths[i].length = att[i]; break;
        case 1: fNuPaths[i].density = att[i]; break;
        case 2: fNuPaths[i].zoa = att[i]; break;
        case 3: fNuPaths[i].layer = att[i]; break;
      }
    }
  }
  // If the vector sizes differ, create a new path sequence
  // and set value for this attribute. Other attributes will
  // be taken from default single path.
  else {
    cerr << "WARNING: New vector size. Starting new path vector." << endl
         << "To avoid possible issues, use the SetPath function." << endl;
 
    // Start a new standard path just
    // to set default values
    SetStdPath();
 
    // Create a path segment with default values
    NuPath p = fNuPaths[0];
 
    // Clear the path sequence
    ClearPath();
 
    // Set this particular attribute's value
    // and add the path segment to the sequence
    for (int i = 0; i < nA; i++) {
      switch (idx) {
        case 0: p.length = att[i]; break;
        case 1: p.density = att[i]; break;
        case 2: p.zoa = att[i]; break;
        case 3: p.layer = att[i]; break;
      }
 
      AddPath(p);
    }
  }
}

References OscProb::PMNS_Base::AddPath(), OscProb::PMNS_Base::ClearPath(), OscProb::NuPath::density, OscProb::PMNS_Base::fNuPaths, OscProb::NuPath::layer, OscProb::NuPath::length, OscProb::PMNS_Base::SetStdPath(), and OscProb::NuPath::zoa.

SetAvgProbPrec()

void PMNS_Base::SetAvgProbPrec ( double  prec )

virtualinherited

Set the precision for the AvgProb method

Parameters

prec	- AvgProb precision

Definition at line 1962 of file PMNS_Base.cxx.

{
  if (prec < 1e-8) {
    cerr << "WARNING: Cannot set AvgProb precision lower that 1e-8."
         << "Setting to 1e-8." << endl;
    prec = 1e-8;
  }
  fAvgProbPrec = prec;
}

References OscProb::PMNS_Base::fAvgProbPrec.

Referenced by OscProb::PMNS_Base::PMNS_Base().

SetCurPath()

void PMNS_Base::SetCurPath ( NuPath  p )

protectedvirtualinherited

Set the path currentlyin use by the class.

This will be used to know what path to propagate through next.

It will also check if values are changing to keep track of whether the eigensystem needs to be recomputed.

Parameters

p	- A neutrino path segment

Definition at line 274 of file PMNS_Base.cxx.

{
  // Check if relevant value are actually changing
  fGotES *= (fPath.density == p.density);
  fGotES *= (fPath.zoa == p.zoa);
 
  fPath = p;
}

References OscProb::NuPath::density, OscProb::PMNS_Base::fGotES, OscProb::PMNS_Base::fPath, and OscProb::NuPath::zoa.

Referenced by OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbMatrixLoE(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::PropagatePath(), PropagatePath(), and OscProb::PMNS_Deco::PropagatePath().

SetDelta()

void PMNS_Base::SetDelta ( int  i, int  j, double  delta  )

virtualinherited

Set the CP phase delta_ij in radians.

Requires that i+1<j. Will notify you if input is wrong. If i>j, will assume reverse order and swap i and j.

This will check if value is changing to keep track of whether the hamiltonian needs to be rebuilt.

Parameters

i,j	- the indices of delta_ij
delta	- the value of delta_ij

Definition at line 602 of file PMNS_Base.cxx.

{
  if (i > j) {
    cerr << "WARNING: First argument should be smaller than second argument"
         << endl
         << "         Setting reverse order (Delta" << j << i << "). " << endl;
    int temp = i;
    i        = j;
    j        = temp;
  }
  if (i < 1 || i > fNumNus - 1 || j < 2 || j > fNumNus) {
    cerr << "ERROR: Delta" << i << j << " not valid for " << fNumNus
         << " neutrinos. Doing nothing." << endl;
    return;
  }
  if (i + 1 == j) {
    cerr << "WARNING: Rotation " << i << j << " is real. Doing nothing."
         << endl;
    return;
  }
 
  // Check if value is actually changing
  fBuiltHms *= (fDelta[i - 1][j - 1] == delta);
 
  fDelta[i - 1][j - 1] = delta;
}

References OscProb::PMNS_Base::fBuiltHms, OscProb::PMNS_Base::fDelta, and OscProb::PMNS_Base::fNumNus.

Referenced by SetMix(), OscProb::PMNS_Fast::SetMix(), and SetNominalPars().

SetDeltaMsqrs()

void PMNS_Decay::SetDeltaMsqrs ( double  dm21, double  dm32  )

virtual

Set both mass-splittings at once.

These are Dm_21 and Dm_32 in eV^2.
The corresponding Dm_31 is set in the class attributes.

Parameters

dm21	- The solar mass-splitting Dm_21
dm32	- The atmospheric mass-splitting Dm_32

Definition at line 114 of file PMNS_Decay.cxx.

{
  SetDm(2, dm21);
  SetDm(3, dm32 + dm21);
}

References OscProb::PMNS_Base::SetDm().

SetDensity() [1/2]

void PMNS_Base::SetDensity ( double  rho )

virtualinherited

Set single path density.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost. Use with care.

Parameters

rho	- The density of the path segment in g/cm^3

Definition at line 402 of file PMNS_Base.cxx.

{ SetAtt(rho, 1); }

References OscProb::PMNS_Base::SetAtt().

SetDensity() [2/2]

void PMNS_Base::SetDensity ( vectorD  rho )

virtualinherited

Set multiple path densities.

If the path sequence is of a different size, a new path sequence will be created and the previous sequence will be lost. Use with care.

Parameters

rho	- The densities of the path segments in g/cm^3

Definition at line 497 of file PMNS_Base.cxx.

{ SetAtt(rho, 1); }

References OscProb::PMNS_Base::SetAtt().

SetDm()

void PMNS_Base::SetDm ( int  j, double  dm  )

virtualinherited

Set the mass-splitting dm_j1 = (m_j^2 - m_1^2) in eV^2

Requires that j>1. Will notify you if input is wrong.

This will check if value is changing to keep track of whether the hamiltonian needs to be rebuilt.

Parameters

j	- the index of dm_j1
dm	- the value of dm_j1

Definition at line 674 of file PMNS_Base.cxx.

{
  if (j < 2 || j > fNumNus) {
    cerr << "ERROR: Dm" << j << "1 not valid for " << fNumNus
         << " neutrinos. Doing nothing." << endl;
    return;
  }
 
  // Check if value is actually changing
  fBuiltHms *= (fDm[j - 1] == dm);
 
  fDm[j - 1] = dm;
}

References OscProb::PMNS_Base::fBuiltHms, OscProb::PMNS_Base::fDm, and OscProb::PMNS_Base::fNumNus.

Referenced by GetSterile(), SetDeltaMsqrs(), OscProb::PMNS_Fast::SetDeltaMsqrs(), SetNominalPars(), and OscProb::PMNS_Base::SetStdPars().

SetEnergy()

void PMNS_Base::SetEnergy ( double  E )

virtualinherited

Set neutrino energy in GeV.

This will check if value is changing to keep track of whether the eigensystem needs to be recomputed.

Parameters

E	- The neutrino energy in GeV

Definition at line 226 of file PMNS_Base.cxx.

{
  // Check if value is actually changing
  fGotES *= (fEnergy == E);
 
  fEnergy = E;
}

References OscProb::PMNS_Base::fEnergy, and OscProb::PMNS_Base::fGotES.

Referenced by OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbMatrixLoE(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::PMNS_Base(), OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::ProbMatrix(), and OscProb::PMNS_Base::ProbVector().

SetIsNuBar()

void PMNS_Decay::SetIsNuBar ( bool  isNuBar )

virtual

Reimplement SetIsNuBar to also rebuild hamiltonian.

Parameters

isNuBar

- true if antineutrinos

Reimplemented from OscProb::PMNS_Base.

Definition at line 96 of file PMNS_Decay.cxx.

{
  // Check if value is actually changing
  fGotES *= (fIsNuBar == isNuBar);
  fBuiltHms *= (fIsNuBar == isNuBar);
  fIsNuBar = isNuBar;
}

References OscProb::PMNS_Base::fBuiltHms, OscProb::PMNS_Base::fGotES, and OscProb::PMNS_Base::fIsNuBar.

SetLayers()

void PMNS_Base::SetLayers ( std::vector< int >  lay )

virtualinherited

Set multiple path layer indices.

If the path sequence is of a different size, a new path sequence will be created and the previous sequence will be lost. Use with care.

Parameters

lay	- Indices to identify the layer types (e.g. earth inner core)

Definition at line 519 of file PMNS_Base.cxx.

{
  vectorD lay_double(lay.begin(), lay.end());
 
  SetAtt(lay_double, 3);
}

References OscProb::PMNS_Base::SetAtt().

SetLength() [1/2]

void PMNS_Base::SetLength ( double  L )

virtualinherited

Set the length for a single path.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost. Use with care.

Parameters

L	- The length of the path segment in km

Definition at line 391 of file PMNS_Base.cxx.

{ SetAtt(L, 0); }

References OscProb::PMNS_Base::SetAtt().

Referenced by OscProb::PMNS_Base::Prob(), OscProb::PMNS_Base::ProbMatrix(), and OscProb::PMNS_Base::ProbVector().

SetLength() [2/2]

void PMNS_Base::SetLength ( vectorD  L )

virtualinherited

Set multiple path lengths.

If the path sequence is of a different size, a new path sequence will be created and the previous sequence will be lost. Use with care.

Parameters

L	- The lengths of the path segments in km

Definition at line 486 of file PMNS_Base.cxx.

{ SetAtt(L, 0); }

References OscProb::PMNS_Base::SetAtt().

SetMaxCache()

void PMNS_Base::SetMaxCache ( int  mc = 1e6 )

virtualinherited

Set maximum number of cached eigensystems. Finding eigensystems can become slow and take up memory. This protects the cache from becoming too large.

Parameters

mc	- Max cache size (default: 1e6)

Definition at line 128 of file PMNS_Base.cxx.

{ fMaxCache = mc; }

References OscProb::PMNS_Base::fMaxCache.

SetMix()

void PMNS_Decay::SetMix ( double  th12, double  th23, double  th13, double  deltacp  )

virtual

Set all mixing parameters at once.

Parameters

th12	- The value of the mixing angle theta_12
th23	- The value of the mixing angle theta_23
th13	- The value of the mixing angle theta_13
deltacp	- The value of the CP phase delta_13

Definition at line 48 of file PMNS_Decay.cxx.

{
  SetAngle(1, 2, th12);
  SetAngle(1, 3, th13);
  SetAngle(2, 3, th23);
  SetDelta(1, 3, deltacp);
}

References OscProb::PMNS_Base::SetAngle(), and OscProb::PMNS_Base::SetDelta().

SetPath() [1/3]

void PMNS_Base::SetPath ( double  length, double  density, double  zoa = 0.5, int  layer = 0  )

virtualinherited

Set a single path defining attributes directly.

This destroys the current path sequence and creates a new first path.

Parameters

length	- The length of the path segment in km
density	- The density of the path segment in g/cm^3
zoa	- The effective Z/A of the path segment
layer	- An index to identify the layer type (e.g. earth inner core)

Definition at line 347 of file PMNS_Base.cxx.

{
  SetPath(NuPath(length, density, zoa, layer));
}

References OscProb::PMNS_Base::SetPath().

SetPath() [2/3]

void PMNS_Base::SetPath ( NuPath  p )

virtualinherited

Set a single path.

This destroys the current path sequence and creates a new first path.

Parameters

p	- A neutrino path segment

Definition at line 330 of file PMNS_Base.cxx.

{
  ClearPath();
  AddPath(p);
}

References OscProb::PMNS_Base::AddPath(), and OscProb::PMNS_Base::ClearPath().

Referenced by OscProb::PMNS_Base::SetPath(), OscProb::PMNS_Base::SetStdPath(), and SetTestPath().

SetPath() [3/3]

void PMNS_Base::SetPath ( std::vector< NuPath >  paths )

virtualinherited

Set vector of neutrino paths.

Parameters

paths

- A sequence of neutrino paths

Definition at line 294 of file PMNS_Base.cxx.

{ fNuPaths = paths; }

References OscProb::PMNS_Base::fNuPaths.

SetPureState()

void PMNS_Base::SetPureState ( vectorC  nu_in )

protectedvirtualinherited

Set the initial state from a pure state

Parameters

nu_in

- The neutrino initial state in flavour basis.

Reimplemented in OscProb::PMNS_Deco.

Definition at line 1070 of file PMNS_Base.cxx.

{
  assert(nu_in.size() == fNumNus);
 
  fNuState = nu_in;
}

References OscProb::PMNS_Base::fNumNus, and OscProb::PMNS_Base::fNuState.

Referenced by OscProb::PMNS_Base::Prob(), and OscProb::PMNS_Base::ProbVector().

SetStdPars()

void PMNS_Base::SetStdPars ( )

virtualinherited

Set standard oscillation parameters from PDG 2015.

For two neutrinos, Dm is set to the muon disappearance effective mass-splitting and mixing angle.

Definition at line 177 of file PMNS_Base.cxx.

{
  if (fNumNus > 2) {
    // PDG values for 3 neutrinos
    // Also applicable for 3+N neutrinos
    SetAngle(1, 2, asin(sqrt(0.304)));
    SetAngle(1, 3, asin(sqrt(0.0219)));
    SetAngle(2, 3, asin(sqrt(0.514)));
    SetDm(2, 7.53e-5);
    SetDm(3, 2.52e-3);
  }
  else if (fNumNus == 2) {
    // Effective muon disappearance values
    // for two-flavour approximation
    SetAngle(1, 2, 0.788);
    SetDm(2, 2.47e-3);
  }
}

References OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::SetAngle(), and OscProb::PMNS_Base::SetDm().

Referenced by OscProb::PMNS_Base::PMNS_Base().

SetStdPath()

void PMNS_Base::SetStdPath ( )

virtualinherited

Set standard single path.

Length is 1000 km, so ~2 GeV peak energy.

Density is approximate from CRUST2.0 (~2.8 g/cm^3). Z/A is set to a round 0.5.

Definition at line 205 of file PMNS_Base.cxx.

{
  NuPath p;
 
  p.length  = 1000; // 1000 km default
  p.density = 2.8;  // Crust density
  p.zoa     = 0.5;  // Crust Z/A
  p.layer   = 0;    // Single layer
 
  SetPath(p);
}

References OscProb::NuPath::density, OscProb::NuPath::layer, OscProb::NuPath::length, OscProb::PMNS_Base::SetPath(), and OscProb::NuPath::zoa.

Referenced by OscProb::PMNS_Base::PMNS_Base(), OscProb::PMNS_Deco::PMNS_Deco(), OscProb::PMNS_LIV::PMNS_LIV(), OscProb::PMNS_NSI::PMNS_NSI(), OscProb::PMNS_NUNM::PMNS_NUNM(), and OscProb::PMNS_Base::SetAtt().

SetUseCache()

void PMNS_Base::SetUseCache ( bool  u = true )

virtualinherited

Turn on/off caching of eigensystems. This can save a lot of CPU time by avoiding recomputing eigensystems if we've already seen them recently. Especially useful when running over multiple earth layers and even more if multiple baselines will be computed, e.g. for atmospheric neutrinos.

Parameters

u	- flag to set caching on (default: true)

Definition at line 105 of file PMNS_Base.cxx.

{ fUseCache = u; }

References OscProb::PMNS_Base::fUseCache.

Referenced by OscProb::PMNS_Base::PMNS_Base().

SetZoA() [1/2]

void PMNS_Base::SetZoA ( double  zoa )

virtualinherited

Set single path Z/A.

If the path sequence is not a single path, a new single path will be created and the previous sequence will be lost. Use with care.

Parameters

zoa	- The effective Z/A of the path segment

Definition at line 413 of file PMNS_Base.cxx.

{ SetAtt(zoa, 2); }

References OscProb::PMNS_Base::SetAtt().

SetZoA() [2/2]

void PMNS_Base::SetZoA ( vectorD  zoa )

virtualinherited

Set multiple path Z/A values.

If the path sequence is of a different size, a new path sequence will be created and the previous sequence will be lost. Use with care.

Parameters

zoa	- The effective Z/A of the path segments

Definition at line 508 of file PMNS_Base.cxx.

{ SetAtt(zoa, 2); }

References OscProb::PMNS_Base::SetAtt().

SolveHam()

void PMNS_Decay::SolveHam ( )

protectedvirtual

Solve the full Hamiltonian for eigenvalues.

This is needed only when estimating the oscillation frequency for computing the AvgProb method.

This is using a method from the Eigen library

Implements OscProb::PMNS_Base.

Definition at line 227 of file PMNS_Decay.cxx.

{
  // Build Hamiltonian
  BuildHms();
 
  // Check if anything changed
  if (fGotES) return;
 
  // Try caching if activated
  // if(TryCache()) return;
 
  UpdateHam();
 
  // Solve Hamiltonian for eigenvalues using the Eigen library method
  complexsolver(fHam, fEval);
 
  fGotES = true;
 
  // Fill cache if activated
  // FillCache();
}

References BuildHms(), complexsolver(), OscProb::PMNS_Base::fEval, OscProb::PMNS_Base::fGotES, fHam, and UpdateHam().

TryCache()

bool PMNS_Base::TryCache ( )

protectedvirtualinherited

Try to find a cached version of this eigensystem.

Definition at line 134 of file PMNS_Base.cxx.

{
  if (fUseCache && !fMixCache.empty()) {
    fProbe.SetVars(fEnergy, fPath, fIsNuBar);
 
    unordered_set<EigenPoint>::iterator it = fMixCache.find(fProbe);
 
    if (it != fMixCache.end()) {
      for (int i = 0; i < fNumNus; i++) {
        fEval[i] = (*it).fEval[i] * (*it).fEnergy / fEnergy;
        for (int j = 0; j < fNumNus; j++) { fEvec[i][j] = (*it).fEvec[i][j]; }
      }
      return true;
    }
  }
 
  return false;
}

References OscProb::PMNS_Base::fEnergy, OscProb::PMNS_Base::fEval, OscProb::PMNS_Base::fEvec, OscProb::PMNS_Base::fIsNuBar, OscProb::PMNS_Base::fMixCache, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::fProbe, OscProb::PMNS_Base::fUseCache, and OscProb::EigenPoint::SetVars().

Referenced by OscProb::PMNS_Fast::SolveHam(), and OscProb::PMNS_Sterile::SolveHam().

UpdateHam()

void PMNS_Decay::UpdateHam ( )

protectedvirtual

Build the full Hamiltonian in matter.

Here we divide the mass squared matrix Hms by the 2E to obtain the vacuum Hamiltonian in eV. Then, the matter potential is added to the electron component.

Definition at line 200 of file PMNS_Decay.cxx.

{
  double lv = 2 * kGeV2eV * fEnergy; // 2E in eV
 
  double kr2GNe = kK2 * M_SQRT2 * kGf;
  kr2GNe *= fPath.density * fPath.zoa; // Matter potential in eV
 
  // Finish building Hamiltonian in matter with dimension of eV
  for (int i = 0; i < fNumNus; i++) {
    for (int j = 0; j < fNumNus; j++) { fHam(i, j) = fHms[i][j] / lv; }
  }
 
  if (!fIsNuBar)
    fHam(0, 0) += kr2GNe;
  else
    fHam(0, 0) -= kr2GNe;
}

References OscProb::NuPath::density, OscProb::PMNS_Base::fEnergy, fHam, OscProb::PMNS_Base::fHms, OscProb::PMNS_Base::fIsNuBar, OscProb::PMNS_Base::fNumNus, OscProb::PMNS_Base::fPath, OscProb::PMNS_Base::kGeV2eV, OscProb::PMNS_Base::kGf, OscProb::PMNS_Base::kK2, and OscProb::NuPath::zoa.

Referenced by PropagatePath(), and SolveHam().

Member Data Documentation

fAlpha

vectorD OscProb::PMNS_Decay::fAlpha

protected

Definition at line 64 of file PMNS_Decay.h.

Referenced by BuildHms(), GetAlpha2(), GetAlpha3(), PMNS_Decay(), SetAlpha2(), and SetAlpha3().

fAvgProbPrec

double OscProb::PMNS_Base::fAvgProbPrec

protectedinherited

Definition at line 305 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::GetSamplePoints(), and OscProb::PMNS_Base::SetAvgProbPrec().

fBuffer

vectorC OscProb::PMNS_Base::fBuffer

protectedinherited

Definition at line 287 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::PropagatePath(), and PropagatePath().

fBuiltHms

bool OscProb::PMNS_Base::fBuiltHms

protectedinherited

Definition at line 298 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::BuildHms(), BuildHms(), OscProb::PMNS_SNSI::BuildHms(), SetAlpha2(), SetAlpha3(), OscProb::PMNS_Base::SetAngle(), OscProb::PMNS_Base::SetDelta(), OscProb::PMNS_Base::SetDm(), SetIsNuBar(), OscProb::PMNS_Iter::SetIsNuBar(), OscProb::PMNS_SNSI::SetLowestMass(), and OscProb::PMNS_Iter::SolveHam().

fCachePrec

double OscProb::PMNS_Base::fCachePrec

protectedinherited

Definition at line 302 of file PMNS_Base.h.

fDelta

matrixD OscProb::PMNS_Base::fDelta

protectedinherited

Definition at line 281 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::GetDelta(), OscProb::PMNS_Base::RotateH(), OscProb::PMNS_Base::RotateState(), OscProb::PMNS_Base::SetDelta(), and OscProb::PMNS_Fast::SetVacuumEigensystem().

fDm

vectorD OscProb::PMNS_Base::fDm

protectedinherited

Definition at line 279 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::BuildHms(), BuildHms(), OscProb::PMNS_SNSI::BuildHms(), OscProb::PMNS_Base::GetDm(), OscProb::PMNS_Base::GetDmEff(), OscProb::PMNS_Deco::ProbMatrix(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Iter::PropagatePath(), OscProb::PMNS_Base::SetDm(), and OscProb::PMNS_Fast::SetVacuumEigensystem().

fEnergy

double OscProb::PMNS_Base::fEnergy

protectedinherited

Definition at line 292 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), OscProb::PMNS_Base::GetDmEff(), OscProb::PMNS_Base::GetEnergy(), OscProb::PMNS_Base::GetSamplePoints(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Iter::PropagatePath(), OscProb::PMNS_Base::SetEnergy(), OscProb::PMNS_Fast::SetVacuumEigensystem(), OscProb::PMNS_Iter::SolveHam(), OscProb::PMNS_Base::TryCache(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

fEval

vectorD OscProb::PMNS_Base::fEval

protectedinherited

Definition at line 289 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), OscProb::PMNS_Base::GetDmEff(), OscProb::PMNS_Base::GetSamplePoints(), OscProb::PMNS_Base::PropagatePath(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Fast::SetVacuumEigensystem(), OscProb::PMNS_Sterile::SolveEigenSystem(), SolveHam(), OscProb::PMNS_Fast::SolveHam(), OscProb::PMNS_Iter::SolveHam(), and OscProb::PMNS_Base::TryCache().

fEvec

matrixC OscProb::PMNS_Base::fEvec

protectedinherited

Definition at line 290 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), OscProb::PMNS_Base::PropagatePath(), OscProb::PMNS_Deco::RotateState(), OscProb::PMNS_Fast::SetVacuumEigensystem(), OscProb::PMNS_Sterile::SolveEigenSystem(), OscProb::PMNS_Fast::SolveHam(), and OscProb::PMNS_Base::TryCache().

fGotES

bool OscProb::PMNS_Base::fGotES

protectedinherited

Definition at line 299 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::BuildHms(), BuildHms(), OscProb::PMNS_SNSI::BuildHms(), OscProb::PMNS_NUNM::SetAlpha(), OscProb::PMNS_LIV::SetaT(), OscProb::PMNS_NSI::SetCoupByIndex(), OscProb::PMNS_LIV::SetcT(), OscProb::PMNS_Base::SetCurPath(), OscProb::PMNS_Base::SetEnergy(), OscProb::PMNS_NSI::SetEps(), OscProb::PMNS_NUNM::SetFracVnc(), OscProb::PMNS_Base::SetIsNuBar(), SetIsNuBar(), SolveHam(), OscProb::PMNS_Fast::SolveHam(), OscProb::PMNS_Iter::SolveHam(), and OscProb::PMNS_Sterile::SolveHam().

fHam

Eigen::Matrix3cd OscProb::PMNS_Decay::fHam

protected

Definition at line 62 of file PMNS_Decay.h.

Referenced by PMNS_Decay(), PropagatePath(), SolveHam(), and UpdateHam().

fHd

matrixC OscProb::PMNS_Decay::fHd

protected

Definition at line 61 of file PMNS_Decay.h.

Referenced by BuildHms(), and PMNS_Decay().

fHms

matrixC OscProb::PMNS_Base::fHms

protectedinherited

Definition at line 284 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::BuildHms(), BuildHms(), OscProb::PMNS_SNSI::BuildHms(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

fIsNuBar

bool OscProb::PMNS_Base::fIsNuBar

protectedinherited

Definition at line 293 of file PMNS_Base.h.

Referenced by BuildHms(), OscProb::PMNS_Base::FillCache(), OscProb::PMNS_Base::GetIsNuBar(), OscProb::PMNS_Iter::SetExpVL(), OscProb::PMNS_Base::SetIsNuBar(), SetIsNuBar(), OscProb::PMNS_Iter::SetIsNuBar(), OscProb::PMNS_Fast::SetVacuumEigensystem(), OscProb::PMNS_Base::TryCache(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

fMaxCache

int OscProb::PMNS_Base::fMaxCache

protectedinherited

Definition at line 303 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), and OscProb::PMNS_Base::SetMaxCache().

fMixCache

std::unordered_set<EigenPoint> OscProb::PMNS_Base::fMixCache

protectedinherited

Definition at line 307 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::ClearCache(), OscProb::PMNS_Base::FillCache(), and OscProb::PMNS_Base::TryCache().

fNumNus

int OscProb::PMNS_Base::fNumNus

protectedinherited

Definition at line 277 of file PMNS_Base.h.

Referenced by OscProb::PMNS_NUNM::ApplyAlphaDagger(), OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::BuildHms(), BuildHms(), OscProb::PMNS_SNSI::BuildHms(), OscProb::PMNS_Base::FillCache(), OscProb::PMNS_NUNM::GetAlpha(), OscProb::PMNS_Base::GetAngle(), OscProb::PMNS_LIV::GetaT(), OscProb::PMNS_LIV::GetcT(), OscProb::PMNS_Base::GetDelta(), OscProb::PMNS_Base::GetDm(), OscProb::PMNS_Base::GetDmEff(), OscProb::PMNS_NSI::GetEps(), OscProb::PMNS_Deco::GetGamma(), OscProb::PMNS_Base::GetMassEigenstate(), OscProb::PMNS_Base::GetProbVector(), OscProb::PMNS_Base::GetSamplePoints(), OscProb::PMNS_Base::P(), OscProb::PMNS_Deco::P(), OscProb::PMNS_Base::PMNS_Base(), PMNS_Decay(), OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_NUNM::ProbMatrix(), OscProb::PMNS_Deco::ProbMatrix(), OscProb::PMNS_Base::PropagatePath(), PropagatePath(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Iter::PropagatePath(), OscProb::PMNS_Base::ResetToFlavour(), OscProb::PMNS_Deco::ResetToFlavour(), OscProb::PMNS_Deco::RotateState(), OscProb::PMNS_NUNM::SetAlpha(), OscProb::PMNS_Base::SetAngle(), OscProb::PMNS_LIV::SetaT(), OscProb::PMNS_LIV::SetcT(), OscProb::PMNS_Base::SetDelta(), OscProb::PMNS_Base::SetDm(), OscProb::PMNS_NSI::SetEps(), OscProb::PMNS_Deco::SetGamma(), OscProb::PMNS_Base::SetPureState(), OscProb::PMNS_Deco::SetPureState(), OscProb::PMNS_Base::SetStdPars(), OscProb::PMNS_Sterile::SolveEigenSystem(), OscProb::PMNS_Fast::SolveHam(), OscProb::PMNS_Iter::SolveHam(), OscProb::PMNS_Sterile::SolveHam(), OscProb::PMNS_Base::TryCache(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

fNuPaths

std::vector<NuPath> OscProb::PMNS_Base::fNuPaths

protectedinherited

Definition at line 295 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::AddPath(), OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbMatrix(), OscProb::PMNS_Base::AvgProbMatrixLoE(), OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::ClearPath(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::GetPath(), OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_Deco::ProbMatrix(), OscProb::PMNS_NUNM::ProbMatrix(), OscProb::PMNS_Base::Propagate(), OscProb::PMNS_Base::SetAtt(), and OscProb::PMNS_Base::SetPath().

fNuState

vectorC OscProb::PMNS_Base::fNuState

protectedinherited

Definition at line 283 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::AvgProb(), OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbVector(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::GetMassEigenstate(), OscProb::PMNS_Base::P(), OscProb::PMNS_Base::ProbMatrix(), OscProb::PMNS_NUNM::ProbMatrix(), OscProb::PMNS_NUNM::Propagate(), OscProb::PMNS_Base::PropagatePath(), PropagatePath(), OscProb::PMNS_Iter::PropMatter(), OscProb::PMNS_Base::ResetToFlavour(), OscProb::PMNS_Base::RotateState(), and OscProb::PMNS_Base::SetPureState().

fPath

NuPath OscProb::PMNS_Base::fPath

protectedinherited

Definition at line 296 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::AvgProbLoE(), OscProb::PMNS_Base::AvgProbMatrixLoE(), OscProb::PMNS_Base::AvgProbVectorLoE(), OscProb::PMNS_Base::ConvertEtoLoE(), OscProb::PMNS_Base::FillCache(), OscProb::PMNS_NSI::GetZoACoup(), OscProb::PMNS_Base::SetCurPath(), OscProb::PMNS_Fast::SolveHam(), OscProb::PMNS_Base::TryCache(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

fPhases

vectorC OscProb::PMNS_Base::fPhases

protectedinherited

Definition at line 286 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::PropagatePath().

fProbe

EigenPoint OscProb::PMNS_Base::fProbe

protectedinherited

Definition at line 308 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), and OscProb::PMNS_Base::TryCache().

fTheta

matrixD OscProb::PMNS_Base::fTheta

protectedinherited

Definition at line 280 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::GetAngle(), OscProb::PMNS_Deco::ProbMatrix(), OscProb::PMNS_Base::RotateH(), OscProb::PMNS_Base::RotateState(), OscProb::PMNS_Base::SetAngle(), and OscProb::PMNS_Fast::SetVacuumEigensystem().

fUseCache

bool OscProb::PMNS_Base::fUseCache

protectedinherited

Definition at line 301 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::FillCache(), OscProb::PMNS_Base::SetUseCache(), and OscProb::PMNS_Base::TryCache().

kGeV2eV

const double PMNS_Base::kGeV2eV = 1.0e+09

staticprotectedinherited

Definition at line 217 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::GetDmEff(), OscProb::PMNS_Base::GetSamplePoints(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Iter::PropagatePath(), OscProb::PMNS_Fast::SetVacuumEigensystem(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

kGf

const double PMNS_Base::kGf = 1.1663787e-05

staticprotectedinherited

Definition at line 220 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Iter::SetExpVL(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

kK2

const double PMNS_Base::kK2

staticprotectedinherited

Initial value:

=
    1e-3 * kNA / pow(kKm2eV, 3)

Definition at line 216 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Iter::SetExpVL(), UpdateHam(), OscProb::PMNS_Fast::UpdateHam(), OscProb::PMNS_LIV::UpdateHam(), OscProb::PMNS_NSI::UpdateHam(), OscProb::PMNS_NUNM::UpdateHam(), OscProb::PMNS_SNSI::UpdateHam(), and OscProb::PMNS_Sterile::UpdateHam().

kKm2eV

const double PMNS_Base::kKm2eV = 1.0 / 1.973269788e-10

staticprotectedinherited

Definition at line 215 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::GetSamplePoints(), OscProb::PMNS_Base::PropagatePath(), PropagatePath(), OscProb::PMNS_Deco::PropagatePath(), OscProb::PMNS_Iter::PropagatePath(), and OscProb::PMNS_Iter::SetExpVL().

kNA

const double PMNS_Base::kNA = 6.022140857e23

staticprotectedinherited

Definition at line 218 of file PMNS_Base.h.

one

const complexD PMNS_Base::one

staticprotectedinherited

Definition at line 212 of file PMNS_Base.h.

Referenced by OscProb::PMNS_Base::ResetToFlavour(), and OscProb::PMNS_Deco::ResetToFlavour().

zero

const complexD PMNS_Base::zero

staticprotectedinherited

Definition at line 211 of file PMNS_Base.h.

Referenced by OscProb::PMNS_NUNM::GetAlpha(), OscProb::PMNS_LIV::GetaT(), OscProb::PMNS_LIV::GetcT(), OscProb::PMNS_NSI::GetEps(), PMNS_Decay(), OscProb::PMNS_Base::ResetToFlavour(), and OscProb::PMNS_Deco::ResetToFlavour().

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The documentation for this class was generated from the following files:

• inc/PMNS_Decay.h
• src/PMNS_Decay.cxx