genie::BardinIMDRadCorPXSec Class Reference

Computes the Inverse Muon Decay (IMD) diff. cross section using the Bardin-Dokuchaeva including all 1-loop radiative corrections.
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#include <BardinIMDRadCorPXSec.h>

Inheritance diagram for genie::BardinIMDRadCorPXSec:

Collaboration diagram for genie::BardinIMDRadCorPXSec:

Public Member Functions
	BardinIMDRadCorPXSec ()
	BardinIMDRadCorPXSec (string config)
virtual	~BardinIMDRadCorPXSec ()
double	XSec (const Interaction *i, KinePhaseSpace_t k) const
	Compute the cross section for the input interaction.
double	Integral (const Interaction *i) const
bool	ValidProcess (const Interaction *i) const
	Can this cross section algorithm handle the input process?
void	Configure (const Registry &config)
void	Configure (string param_set)
Public Member Functions inherited from genie::XSecAlgorithmI
virtual	~XSecAlgorithmI ()
virtual bool	ValidKinematics (const Interaction *i) const
	Is the input kinematical point a physically allowed one?
Public Member Functions inherited from genie::Algorithm
virtual	~Algorithm ()
virtual void	FindConfig (void)
virtual const Registry &	GetConfig (void) const
Registry *	GetOwnedConfig (void)
virtual const AlgId &	Id (void) const
	Get algorithm ID.
virtual AlgStatus_t	GetStatus (void) const
	Get algorithm status.
virtual bool	AllowReconfig (void) const
virtual AlgCmp_t	Compare (const Algorithm *alg) const
	Compare with input algorithm.
virtual void	SetId (const AlgId &id)
	Set algorithm ID.
virtual void	SetId (string name, string config)
const Algorithm *	SubAlg (const RgKey &registry_key) const
void	AdoptConfig (void)
void	AdoptSubstructure (void)
virtual void	Print (ostream &stream) const
	Print algorithm info.

Private Member Functions
void	LoadConfig (void)
double	Li2 (double z) const
double	Fa (double re, double r, double y) const
double	P (int i, double r, double y) const
double	C (int i, int k, double r) const

Private Attributes
const XSecIntegratorI *	fXSecIntegrator
	differential x-sec integrator

Additional Inherited Members
Static Public Member Functions inherited from genie::Algorithm
static string	BuildParamVectKey (const std::string &comm_name, unsigned int i)
static string	BuildParamVectSizeKey (const std::string &comm_name)
static string	BuildParamMatKey (const std::string &comm_name, unsigned int i, unsigned int j)
static string	BuildParamMatRowSizeKey (const std::string &comm_name)
static string	BuildParamMatColSizeKey (const std::string &comm_name)
Protected Member Functions inherited from genie::XSecAlgorithmI
	XSecAlgorithmI ()
	XSecAlgorithmI (string name)
	XSecAlgorithmI (string name, string config)
Protected Member Functions inherited from genie::Algorithm
	Algorithm ()
	Algorithm (string name)
	Algorithm (string name, string config)
void	Initialize (void)
void	DeleteConfig (void)
void	DeleteSubstructure (void)
Registry *	ExtractLocalConfig (const Registry &in) const
Registry *	ExtractLowerConfig (const Registry &in, const string &alg_key) const
	Split an incoming configuration Registry into a block valid for the sub-algo identified by alg_key.
template<class T>
bool	GetParam (const RgKey &name, T &p, bool is_top_call=true) const
template<class T>
bool	GetParamDef (const RgKey &name, T &p, const T &def) const
template<class T>
int	GetParamVect (const std::string &comm_name, std::vector< T > &v, bool is_top_call=true) const
	Handle to load vectors of parameters.
int	GetParamVectKeys (const std::string &comm_name, std::vector< RgKey > &k, bool is_top_call=true) const
template<class T>
int	GetParamMat (const std::string &comm_name, TMatrixT< T > &mat, bool is_top_call=true) const
	Handle to load matrix of parameters.
template<class T>
int	GetParamMatSym (const std::string &comm_name, TMatrixTSym< T > &mat, bool is_top_call=true) const
int	GetParamMatKeys (const std::string &comm_name, std::vector< RgKey > &k, bool is_top_call=true) const
int	AddTopRegistry (Registry *rp, bool owns=true)
	add registry with top priority, also update ownership
int	AddLowRegistry (Registry *rp, bool owns=true)
	add registry with lowest priority, also update ownership
int	MergeTopRegistry (const Registry &r)
int	AddTopRegisties (const vector< Registry * > &rs, bool owns=false)
	Add registries with top priority, also udated Ownerships.
Protected Attributes inherited from genie::Algorithm
bool	fAllowReconfig
bool	fOwnsSubstruc
	true if it owns its substructure (sub-algs,...)
AlgId	fID
	algorithm name and configuration set
vector< Registry * >	fConfVect
vector< bool >	fOwnerships
	ownership for every registry in fConfVect
AlgStatus_t	fStatus
	algorithm execution status
AlgMap *	fOwnedSubAlgMp
	local pool for owned sub-algs (taken out of the factory pool)

Detailed Description

Computes the Inverse Muon Decay (IMD) diff. cross section using the Bardin-Dokuchaeva including all 1-loop radiative corrections.
.

This is a 'trully' inclusive IMD cross section, i.e. the brem. cross section (dxsec_brem/dy)|w>w0 [see Bardin paper, cited below] is not subtracted from the IMD cross section and therefore it is not suitable for experimental situations where a photon energy trigger threshold is applied.

Is a concrete implementation of the XSecAlgorithmI interface.

References:\n D.Yu.Bardin and V.A.Dokuchaeva, Nucl.Phys.B287:839 (1987)

Author

Costas Andreopoulos <c.andreopoulos \at cern.ch> University of Liverpool

Created:\n February 14, 2005

License:\n Copyright (c) 2003-2025, The GENIE Collaboration

For the full text of the license visit http://copyright.genie-mc.org

Definition at line 39 of file BardinIMDRadCorPXSec.h.

Constructor & Destructor Documentation

BardinIMDRadCorPXSec() [1/2]

BardinIMDRadCorPXSec::BardinIMDRadCorPXSec

(

)

Definition at line 27 of file BardinIMDRadCorPXSec.cxx.

                                           :
XSecAlgorithmI("genie::BardinIMDRadCorPXSec")
{
 
}

References genie::XSecAlgorithmI::XSecAlgorithmI().

BardinIMDRadCorPXSec() [2/2]

BardinIMDRadCorPXSec::BardinIMDRadCorPXSec

(

string

config

)

Definition at line 33 of file BardinIMDRadCorPXSec.cxx.

                                                        :
XSecAlgorithmI("genie::BardinIMDRadCorPXSec", config)
{
 
}

References genie::XSecAlgorithmI::XSecAlgorithmI().

~BardinIMDRadCorPXSec()

BardinIMDRadCorPXSec::~BardinIMDRadCorPXSec ( )

virtual

Definition at line 39 of file BardinIMDRadCorPXSec.cxx.

{
 
}

Member Function Documentation

C()

double BardinIMDRadCorPXSec::C ( int i, int k, double r ) const

private

Definition at line 189 of file BardinIMDRadCorPXSec.cxx.

{
  if        ( i == 1 ) {
 
      if      (k == -3) return -0.19444444*TMath::Power(r,3.);
      else if (k == -2) return (0.083333333+0.29166667*r)*TMath::Power(r,2.);
      else if (k == -1) return -0.58333333*r - 0.5*TMath::Power(r,2.) - TMath::Power(r,3.)/6.;
      else if (k ==  0) return -1.30555560 + 3.125*r + 0.375*TMath::Power(r,2.);
      else if (k ==  1) return -0.91666667 - 0.25*r;
      else if (k ==  2) return 0.041666667;
      else              return 0.;
 
  } else if ( i == 2 ) {
 
      if      (k == -3) return 0.;
      else if (k == -2) return 0.5*TMath::Power(r,2.);
      else if (k == -1) return 0.5*r - 2*TMath::Power(r,2.);
      else if (k ==  0) return 0.25 - 0.75*r + 1.5*TMath::Power(r,2);
      else if (k ==  1) return 0.5;
      else if (k ==  2) return 0.;
      else              return 0.;
 
  } else if ( i == 3 ) {
 
      if      (k == -3) return 0.16666667*TMath::Power(r,3.);
      else if (k == -2) return 0.25*TMath::Power(r,2.)*(1-r);
      else if (k == -1) return r-0.5*TMath::Power(r,2.);
      else if (k ==  0) return 0.66666667;
      else if (k ==  1) return 0.;
      else if (k ==  2) return 0.;
      else              return 0.;
 
  } else if ( i == 4 ) {
 
      if      (k == -3) return 0.;
      else if (k == -2) return TMath::Power(r,2.);
      else if (k == -1) return r*(1-4.*r);
      else if (k ==  0) return 1.5*TMath::Power(r,2.);
      else if (k ==  1) return 1.;
      else if (k ==  2) return 0.;
      else              return 0.;
 
  } else if ( i == 5 ) {
 
      if      (k == -3) return 0.16666667*TMath::Power(r,3.);
      else if (k == -2) return -0.25*TMath::Power(r,2.)*(1+r);
      else if (k == -1) return 0.5*r*(1+3*r);
      else if (k ==  0) return -1.9166667+2.25*r-1.5*TMath::Power(r,2);
      else if (k ==  1) return -0.5;
      else if (k ==  2) return 0.;
      else              return 0.;
 
  } else if ( i == 6 ) {
 
      if      (k == -3) return 0.;
      else if (k == -2) return 0.16666667*TMath::Power(r,2.);
      else if (k == -1) return -0.25*r*(r+0.33333333);
      else if (k ==  0) return 1.25*(r+0.33333333);
      else if (k ==  1) return 0.5;
      else if (k ==  2) return 0.;
      else              return 0.;
 
  } else return 0.;
}

Referenced by P().

Configure() [1/2]

void BardinIMDRadCorPXSec::Configure ( const Registry & config )

virtual

Configure the algorithm with an external registry The registry is merged with the top level registry if it is owned, Otherwise a copy of it is added with the highest priority

Reimplemented from genie::Algorithm.

Definition at line 254 of file BardinIMDRadCorPXSec.cxx.

{
  Algorithm::Configure(config);
  this->LoadConfig();
}

References genie::Algorithm::Configure(), and LoadConfig().

Configure() [2/2]

void BardinIMDRadCorPXSec::Configure ( string config )

virtual

Configure the algorithm from the AlgoConfigPool based on param_set string given in input An algorithm contains a vector of registries coming from different xml configuration files, which are loaded according a very precise prioriy This methods will load a number registries in order of priority: 1) "Tunable" parameter set from CommonParametes. This is loaded with the highest prioriry and it is designed to be used for tuning procedure Usage not expected from the user. 2) For every string defined in "CommonParame" the corresponding parameter set will be loaded from CommonParameter.xml 3) parameter set specified by the config string and defined in the xml file of the algorithm 4) if config is not "Default" also the Default parameter set from the same xml file will be loaded Effectively this avoids the repetion of a parameter when it is not changed in the requested configuration

Reimplemented from genie::Algorithm.

Definition at line 260 of file BardinIMDRadCorPXSec.cxx.

{
  Algorithm::Configure(param_set);
  this->LoadConfig();
}

References genie::Algorithm::Configure(), and LoadConfig().

Fa()

double BardinIMDRadCorPXSec::Fa ( double re, double r, double y ) const

private

Definition at line 111 of file BardinIMDRadCorPXSec.cxx.

{
  double y2  = y * y;
  double rre = r * re;
  double r_y = r/y;
  double y_r = y/r;
 
  double fa = 0;
 
  fa = (1-r) *       ( TMath::Log(y2/rre) * TMath::Log(1-r_y) +
                       TMath::Log(y_r) * TMath::Log(1-y) -
                       this->Li2( r ) +
                       this->Li2( y ) +
                       this->Li2( (r-y) / (1-y) ) +
                       1.5 * (1-r) * TMath::Log(1-r)
                     )
                     +
 
       0.5*(1+3*r) * ( this->Li2( (1-r_y) / (1-r) ) -
                       this->Li2( (y-r)   / (1-r) ) -
                       TMath::Log(y_r) * TMath::Log( (y-r) / (1-r) )
                     )
                     +
 
       this->P(1,r,y)                   -
       this->P(2,r,y) * TMath::Log(r)   -
       this->P(3,r,y) * TMath::Log(re)  +
       this->P(4,r,y) * TMath::Log(y)   +
       this->P(5,r,y) * TMath::Log(1-y) +
       this->P(6,r,y) * (1 - r_y) * TMath::Log(1-r_y);
 
  return fa;
}

References Li2(), and P().

Referenced by XSec().

Integral()

double BardinIMDRadCorPXSec::Integral ( const Interaction * i ) const

virtual

Integrate the model over the kinematic phase space available to the input interaction (kinematical cuts can be included)

Implements genie::XSecAlgorithmI.

Definition at line 99 of file BardinIMDRadCorPXSec.cxx.

{
  double xsec = fXSecIntegrator->Integrate(this,interaction);
  return xsec;
}

References fXSecIntegrator.

Li2()

double BardinIMDRadCorPXSec::Li2 ( double z ) const

private

Definition at line 158 of file BardinIMDRadCorPXSec.cxx.

{
  double epsilon = 1e-2;
  double tmin = epsilon;
  double tmax = 1. - epsilon;
 
#ifdef __GENIE_LOW_LEVEL_MESG_ENABLED__
  LOG("BardinIMD", pDEBUG)
    << "Summing BardinIMDRadCorIntegrand in [" << tmin<< ", " << tmax<< "]";
#endif
 
  ROOT::Math::IBaseFunctionOneDim * integrand = new
          utils::gsl::wrap::BardinIMDRadCorIntegrand(z);
  ROOT::Math::IntegrationOneDim::Type ig_type =
          utils::gsl::Integration1DimTypeFromString("adaptive");
 
  double abstol   = 1;    // We mostly care about relative tolerance
  double reltol   = 1E-4;
  int    nmaxeval = 100000;
  ROOT::Math::Integrator ig(*integrand,ig_type,abstol,reltol,nmaxeval);
  double li2 = ig.Integral(tmin, tmax);
 
#ifdef __GENIE_LOW_LEVEL_MESG_ENABLED__
  LOG("BardinIMD", pDEBUG) << "Li2(z = " << z << ")" << li2;
#endif
 
  delete integrand;
 
  return li2;
}

References e, epsilon, genie::utils::gsl::Integration1DimTypeFromString(), LOG, and pDEBUG.

Referenced by Fa().

LoadConfig()

void BardinIMDRadCorPXSec::LoadConfig ( void )

private

Definition at line 266 of file BardinIMDRadCorPXSec.cxx.

{
  ////fIntegrator =
////      dynamic_cast<const IntegratorI *> (this->SubAlg("Integrator"));
/////  assert(fIntegrator);
 
  fXSecIntegrator =
      dynamic_cast<const XSecIntegratorI *> (this->SubAlg("XSec-Integrator"));
  assert(fXSecIntegrator);
}

References fXSecIntegrator, and genie::Algorithm::SubAlg().

Referenced by Configure(), and Configure().

P()

double BardinIMDRadCorPXSec::P ( int i, double r, double y ) const

private

Definition at line 145 of file BardinIMDRadCorPXSec.cxx.

{
  int kmin = -3;
  int kmax =  2;
  double p = 0;
  for(int k = kmin; k <= kmax; k++) {
     double c  = this->C(i,k,r);
     double yk = TMath::Power(y,k);
     p += (c*yk);
  }
  return p;
}

References C().

Referenced by Fa().

ValidProcess()

bool BardinIMDRadCorPXSec::ValidProcess ( const Interaction * i ) const

virtual

Can this cross section algorithm handle the input process?

Implements genie::XSecAlgorithmI.

Definition at line 105 of file BardinIMDRadCorPXSec.cxx.

{
  if(interaction->TestBit(kISkipProcessChk)) return true;
  return true;
}

References genie::kISkipProcessChk.

Referenced by XSec().

XSec()

double BardinIMDRadCorPXSec::XSec ( const Interaction * i, KinePhaseSpace_t k ) const

virtual

Compute the cross section for the input interaction.

Implements genie::XSecAlgorithmI.

Definition at line 44 of file BardinIMDRadCorPXSec.cxx.

{
  if(! this -> ValidProcess    (interaction) ) return 0.;
  if(! this -> ValidKinematics (interaction) ) return 0.;
 
  const InitialState & init_state = interaction -> InitState();
 
  double E    = init_state.ProbeE(kRfLab);
  double sig0 = kGF2 * kElectronMass * E / kPi;
  double re   = 0.5 * kElectronMass / E;
  double r    = (kMuonMass2 / kElectronMass2) * re;
  double y    = interaction->Kine().y();
 
  y = 1-y;  //Note: y = (Ev-El)/Ev but in Bardin's paper y=El/Ev.
 
  double ymin = r + re;
  double ymax = 1 + re + r*re / (1+re);
 
  double e = 1E-5;
  ymax = TMath::Min(ymax,1-e); // avoid ymax=1, due to a log(1-y)
 
#ifdef __GENIE_LOW_LEVEL_MESG_ENABLED__
  LOG("BardinIMD", pDEBUG)
           << "sig0 = " << sig0 << ", r = " << r << ", re = " << re;
  LOG("BardinIMD", pDEBUG)
                   << "allowed y: [" << ymin << ", " << ymax << "]";
#endif
 
  if(y<ymin || y>ymax) return 0;
 
  double xsec = 2 * sig0 * ( 1 - r + (kAem/kPi) * Fa(re,r,y) );
 
#ifdef __GENIE_LOW_LEVEL_MESG_ENABLED__
  LOG("BardinIMD", pINFO)
     << "dxsec[1-loop]/dy (Ev = " << E << ", y = " << y << ") = " << xsec;
#endif
 
  // The algorithm computes dxsec/dy
  // Check whether variable tranformation is needed
  if(kps!=kPSyfE) {
    double J = utils::kinematics::Jacobian(interaction,kPSyfE,kps);
    xsec *= J;
  }
 
  // If requested return the free electron xsec even for nuclear target
  if( interaction->TestBit(kIAssumeFreeElectron) ) return xsec;
 
  // Scale for the number of scattering centers at the target
  int Ne = init_state.Tgt().Z(); // num of scattering centers
  xsec *= Ne;
 
  return xsec;
}

References e, Fa(), genie::utils::kinematics::Jacobian(), genie::constants::kAem, genie::constants::kElectronMass, genie::constants::kElectronMass2, genie::constants::kGF2, genie::kIAssumeFreeElectron, genie::Interaction::Kine(), genie::constants::kMuonMass2, genie::constants::kPi, genie::kPSyfE, genie::kRfLab, LOG, pDEBUG, pINFO, genie::InitialState::ProbeE(), genie::InitialState::Tgt(), genie::XSecAlgorithmI::ValidKinematics(), ValidProcess(), genie::Kinematics::y(), and genie::Target::Z().

Member Data Documentation

fXSecIntegrator

const XSecIntegratorI* genie::BardinIMDRadCorPXSec::fXSecIntegrator

private

differential x-sec integrator

Definition at line 70 of file BardinIMDRadCorPXSec.h.

Referenced by Integral(), and LoadConfig().

---

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

• BardinIMDRadCorPXSec.h
• BardinIMDRadCorPXSec.cxx