apfel::AlphaQCDQED Class Reference

The AlphaQCDQED is a specialization class of the MatchedEvolution class for the computation of the mixed evolution of QCD and QED. More...

#include <alphaqcdqed.h>

Inheritance diagram for apfel::AlphaQCDQED:

Public Member Functions
matrix< double >	MatchObject (bool const &Up, int const &nfl, matrix< double > const &Coup) const
	Function for the computation of the matching.
matrix< double >	Derivative (int const &nfl, double const &, matrix< double > const &as) const
	Function that returns QCDxQED function matrix.
matrix< double >	betaQCDQED (int const &pt, int const &nf, int const &nl) const
	Function for the computation of the single coefficients of the expansion of the QCDxQED function.
Constructors
List of constructors.
	AlphaQCDQED ()=delete
	AlphaQCDQED (double const &AlphaQCDRef, double const &AlphaQEDRef, double const &MuRef, std::vector< double > const &QuarkThresholds, std::vector< double > const &LeptThresholds, int const &pt, int const &nsteps=10)
	AlphaQCDQED constructor.
Public Member Functions inherited from apfel::MatchedEvolution< matrix< double > >
	MatchedEvolution ()=delete
	MatchedEvolution (matrix< double > const &ObjRef, double const &MuRef, std::vector< double > const &Thresholds, int const &nsteps=10)
	The MatchedEvolution constructor.
virtual	~MatchedEvolution ()=default
virtual matrix< double >	EvolveObject (int const &nf, double const &t0, double const &t1, matrix< double > const &Obj0) const
	Virtual function for the computation of the evolution.
matrix< double >	Evaluate (double const &mu) const
	Function that returns the evolved object.
matrix< double >	GetObjectRef () const
	Function that returns the reference value of the object.
double	GetMuRef () const
	Function that returns the reference scale.
std::vector< double >	GetThresholds () const
	Function that returns the values of the thresholds.
int	GetNumberOfSteps () const
	Function that returns the number of steps.
void	SetObjectRef (matrix< double > ObjRef)
	Function that sets the reference value of the object.
void	SetMuRef (double const &MuRef)
	Function that sets the reference scale.
void	SetNumberOfSteps (int const &nsteps)
	Function that sets the number of steps of the RK algorithm.

Private Attributes
int const	_pt
	Perturbative order.
std::function< matrix< double >(int const &, matrix< double > const &)	_BetaFunction )
	Beta function.

Additional Inherited Members
Protected Attributes inherited from apfel::MatchedEvolution< matrix< double > >
matrix< double >	_ObjRef
double	_MuRef
double	_MuRef2
double	_LogMuRef2
std::vector< double >	_Thresholds
int	_nsteps
std::vector< double >	_Thresholds2
std::vector< double >	_LogThresholds2

Detailed Description

The AlphaQCDQED is a specialization class of the MatchedEvolution class for the computation of the mixed evolution of QCD and QED.

Examples

coupling_test.cc.

Constructor & Destructor Documentation

AlphaQCDQED() [1/2]

apfel::AlphaQCDQED::AlphaQCDQED ( )

delete

AlphaQCDQED() [2/2]

apfel::AlphaQCDQED::AlphaQCDQED	(	double const &	AlphaQCDRef,
		double const &	AlphaQEDRef,
		double const &	MuRef,
		std::vector< double > const &	QuarkThresholds,
		std::vector< double > const &	LeptThresholds,
		int const &	pt,
		int const &	nsteps = 10 )

AlphaQCDQED constructor.

Parameters

AlphaQCDRef	the reference value of the QCD coupling
AlphaQEDRef	the reference value of the QED coupling
MuRef	the reference value of the scale
QuarkThresholds	vector of quark thresholds
LeptThresholds	vector of lepton thresholds
pt	perturbative order
nsteps	number of steps of the ODE solver

Note

No displaced thresholds allowed.

Member Function Documentation

betaQCDQED()

matrix< double > apfel::AlphaQCDQED::betaQCDQED	(	int const &	pt,
		int const &	nf,
		int const &	nl ) const

Function for the computation of the single coefficients of the expansion of the QCDxQED function.

Parameters

pt	perturbative order
nf	number of active quark flavours
nl	number of active lepton flavours

Returns

The pt-th coefficient of the QCDxQED function.

Derivative()

matrix< double > apfel::AlphaQCDQED::Derivative ( int const & nfl, double const & , matrix< double > const & as ) const

virtual

Function that returns QCDxQED function matrix.

Parameters

nfl	total number of active flavours including both quarks and leptons
as	value of the couplings

Returns

The the value of the QCDxQED function matrix

Implements apfel::MatchedEvolution< matrix< double > >.

MatchObject()

matrix< double > apfel::AlphaQCDQED::MatchObject ( bool const & Up, int const & nfl, matrix< double > const & Coup ) const

virtual

Function for the computation of the matching.

Parameters

Up	tells whether the matching is upward or not (downward)
nfl	total number of active flavours including both quarks and leptons
Coup	value of the coupling to be matched

Returns

The matched value of the strong coupling at the threshold

Note

This is a dummy function required only to instantiate the pure-virtual 'MatchObject' of the mother class 'MatchedEvolution': it always returns the input coupling. This means that the evolution is assumed to be continuos at the thresholds.

Implements apfel::MatchedEvolution< matrix< double > >.

Member Data Documentation

_BetaFunction

std::function<matrix<double>(int const&, matrix<double> const&) apfel::AlphaQCDQED::_BetaFunction)

private

Beta function.

_pt

int const apfel::AlphaQCDQED::_pt

private

Perturbative order.

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

• /Users/vb262523/Codes/apfelxx/inc/apfel/alphaqcdqed.h