Evaluation of the strong running coupling constant in the \(\overline{MS}\) scheme. More...

Inheritance diagram for PARTONS::RunningAlphaStrongStandard:

Public Member Functions
	RunningAlphaStrongStandard (const std::string &className)
	Constructor. More...

virtual RunningAlphaStrongStandard *	clone () const
	Virtual clone function to allow the factory to clone all derived members object stored in the BaseObjectRegistry. More...

virtual	~RunningAlphaStrongStandard ()
	Destructor. More...

virtual double	compute ()
	Evaluate \(\alpha_{s}\). More...

unsigned int	GetColourNumber () const
	Get number of colors (SU( \(n_{c}\))) More...

Public Member Functions inherited from PARTONS::RunningAlphaStrongModule
	RunningAlphaStrongModule (const std::string &className)
	Constructor. More...

virtual	~RunningAlphaStrongModule ()
	Destructor. More...

virtual std::string	toString () const
	Return a pre-formatted characters string for output visualization of class member's values. More...

virtual void	resolveObjectDependencies ()
	Because of the initialization step order of the program, objects are registered in a total random order and some objects depend on others. More...

virtual void	configure (const ElemUtils::Parameters &parameters)
	Provides a generic method to configure all types of modules by passing a Parameters object. More...

virtual void	prepareSubModules (const std::map< std::string, BaseObjectData > &subModulesData)
	Method used in automation to prepare all the modules used by this current module and configure them recursively. More...

double	compute (double Mu2)
	Evaluate \(\alpha_{s}\) for a given value of renormalization scale squared. More...

unsigned int	getNf () const

void	setNf (unsigned int nf)

Public Member Functions inherited from PARTONS::ModuleObject
	ModuleObject (const std::string &className, ChannelType::Type channelType)
	Constructor. More...

virtual	~ModuleObject ()
	Default destructor. More...

virtual void	run ()

unsigned int	getReferenceModuleId () const
	Get reference module id. More...

void	setReferenceModuleId (unsigned int referenceModuleId)
	Set reference module id. More...

ChannelType::Type	getChannelType () const
	Get channel type. More...

Public Member Functions inherited from PARTONS::BaseObject
	BaseObject (const std::string &className)
	Constructor. More...

virtual	~BaseObject ()
	Default destructor. More...

void	serialize (ElemUtils::Packet &packet) const
	Used to split a complex C++ object into a concatenation of simple types. More...

void	unserialize (ElemUtils::Packet &packet)
	Used to rebuild a complex C++ object from a concatenation of simple type. More...

bool	operator< (const BaseObject &other) const
	Overload of < operator to sort BaseObject object by its indexId value. More...

const std::string &	getClassName () const

unsigned int	getObjectId () const

int	getIndexId () const

void	setIndexId (int indexId)

Static Public Attributes
static const unsigned int	classId
	Unique ID to automatically register the class in the registry. More...

Static Public Attributes inherited from PARTONS::RunningAlphaStrongModule
static const std::string	RUNNING_ALPHA_STRONG_MODULE_CLASS_NAME
	Type of module name used by the automatization. More...

Static Public Attributes inherited from PARTONS::ModuleObject
static const std::string	CLASS_NAME = "className"

Protected Member Functions
	RunningAlphaStrongStandard (const RunningAlphaStrongStandard &other)
	Copy constructor. More...

virtual void	initModule ()
	Pure virtual function that provides skeleton for module initialization. More...

virtual void	isModuleWellConfigured ()
	Pure virtual function that provides skeleton to check if the module is well initialized and configured. More...

Protected Member Functions inherited from PARTONS::RunningAlphaStrongModule
	RunningAlphaStrongModule (const RunningAlphaStrongModule &other)
	Copy constructor. More...

void	preCompute (const double Mu2)
	Do a pre-evaluation steps before the evaluation of \(\alpha_{s}\). More...

bool	isPreviousKinematicsDifferent (const double MuF2) const
	Check if previous kinematics is different than the actual one. More...

Protected Member Functions inherited from PARTONS::ModuleObject
	ModuleObject (const ModuleObject &other)

Protected Member Functions inherited from PARTONS::BaseObject
	BaseObject (const BaseObject &other)
	Copy constructor. More...

void	info (const std::string &functionName, const std::string &message) const
	Print info message into logger. More...

void	debug (const std::string &functionName, const std::string &message) const
	Print debug message into logger. More...

void	warn (const std::string &functionName, const std::string &message) const
	Print warning message into logger. More...

void	errorMissingParameter (const std::string &parameterName) const
	Use in automation process to throw exception when a parameter is missing from the XML scenario file. More...

Private Member Functions
void	ComputeExpansionCoefficients (unsigned int NFlavour)
	Evaluate beta function coefficients for a fixed number of flavors. More...

void	ComputeLambdaQCD ()
	Evaluate \(\Lambda_{QCD}\) for different number of flavors. More...

void	Running (double Mu, double Lambda, unsigned int NFlavour)
	Evaluate \(\alpha_s\) at four loops. More...

double	FindLambda (double Lambda, std::vector< double > Parameters)
	Returns \(\Lambda_{QCD}\) from \(\alpha_s\) at given scale. More...

Private Attributes
unsigned int	fNc
	Number of colors (SU( \(n_{c}\))). More...

double	fBeta0
	1st coefficient of beta function expansion. More...

double	fBeta1
	2nd coefficient of beta function expansion. More...

double	fBeta2
	3rd coefficient of beta function expansion. More...

double	fBeta3
	4th coefficient of beta function expansion. More...

double	fB1
	Reduced coefficient RunningAlphaStrong::fBeta1 / RunningAlphaStrong::fBeta0. More...

double	fB2
	Reduced coefficient RunningAlphaStrong::fBeta2 / RunningAlphaStrong::fBeta0. More...

double	fB3
	Reduced coefficient RunningAlphaStrong::fBeta3 / RunningAlphaStrong::fBeta0. More...

double	fLambdaQCD3
	\(\Lambda_{QCD}(n_{f} = 3)\). More...

double	fLambdaQCD4
	\(\Lambda_{QCD}(n_{f} = 4)\). More...

double	fLambdaQCD5
	\(\Lambda_{QCD}(n_{f} = 5)\). More...

double	fLambdaQCD6
	\(\Lambda_{QCD}(n_{f} = 6)\). More...

double	fAlphaSMZ
	Reference value of strong coupling. More...

double	fAlphaS
	Current value of strong coupling. More...

Additional Inherited Members
Protected Attributes inherited from PARTONS::RunningAlphaStrongModule
double	m_Mu2
	Current renormalization scale squared (in \(GeV^2\)) More...

double	m_Mu
	Current renormalization scale (in \(GeV\)) More...

unsigned int	m_nf
	Number of active quark flavors. More...

double	m_alphaS
	Value of \(\alpha_{s}\) for the current renormalization scale. More...

Protected Attributes inherited from PARTONS::ModuleObject
ModuleObjectFactory *	m_pModuleObjectFactory
	Pointer tp module object factory. More...

Detailed Description

Evaluation of the strong running coupling constant in the \(\overline{MS}\) scheme.

This module evaluates the strong running coupling constant in the \(\overline{MS}\) scheme. It takes \(\alpha(M_Z)\) and quark masses (c, b and t) as inputs and computes the evolution downwards to get \(\Lambda_{QCD}\) for different numbers of active flavors. Then \(\alpha(M_Z)\) is computed at the required scale.

For an example of usage of this module see the abstract class documentation.

Note 1: Quark masses and \(\alpha(M_Z)\) are defined in FundamentalPhysicalConstants.h. These values come from Ref. [20]

Note 2: The convention for the QCD beta function is the following:
\(\frac{d \alpha_{s}(n_{f})}{d \ln(\mu^2)} = \beta ( \alpha_{s} ) = - \sum_{n=1}^\infty \beta_{n-1} \times ( \alpha_{s} / \pi )^{(n+1)}\)

Constructor & Destructor Documentation

◆ RunningAlphaStrongStandard() [1/2]

PARTONS::RunningAlphaStrongStandard::RunningAlphaStrongStandard ( const std::string & className )

Constructor.

Parameters

className Name of class.

◆ ~RunningAlphaStrongStandard()

PARTONS::RunningAlphaStrongStandard::~RunningAlphaStrongStandard ( )

virtual

Destructor.

◆ RunningAlphaStrongStandard() [2/2]

PARTONS::RunningAlphaStrongStandard::RunningAlphaStrongStandard ( const RunningAlphaStrongStandard & other )

protected

Copy constructor.

Parameters

other Object to be copied.

Member Function Documentation

◆ clone()

RunningAlphaStrongStandard * PARTONS::RunningAlphaStrongStandard::clone ( ) const

virtual

Virtual clone function to allow the factory to clone all derived members object stored in the BaseObjectRegistry.

Returns

Implements PARTONS::RunningAlphaStrongModule.

◆ compute()

double PARTONS::RunningAlphaStrongStandard::compute ( )

virtual

Evaluate \(\alpha_{s}\).

The value of renormalization scale should be set at this point by RunningAlphaStrongModule::preCompute() function.

Returns

Implements PARTONS::RunningAlphaStrongModule.

◆ ComputeExpansionCoefficients()

void PARTONS::RunningAlphaStrongStandard::ComputeExpansionCoefficients ( unsigned int NFlavour )

private

Evaluate beta function coefficients for a fixed number of flavors.

\(n_{c}\)-independent expressions (not used) are given in [5].
\(n_{c}\)-dependent expressions (used) are given in [6].

Parameters

NFlavour Number of flavors.

◆ ComputeLambdaQCD()

void PARTONS::RunningAlphaStrongStandard::ComputeLambdaQCD ( )

private

Evaluate \(\Lambda_{QCD}\) for different number of flavors.

◆ FindLambda()

double PARTONS::RunningAlphaStrongStandard::FindLambda	(	double	Lambda,
		std::vector< double >	Parameters
	)

private

Returns \(\Lambda_{QCD}\) from \(\alpha_s\) at given scale.

◆ GetColourNumber()

unsigned int PARTONS::RunningAlphaStrongStandard::GetColourNumber ( ) const

Get number of colors (SU( \(n_{c}\)))

◆ initModule()

void PARTONS::RunningAlphaStrongStandard::initModule ( )

protectedvirtual

Pure virtual function that provides skeleton for module initialization.

Children must define and override it.

Reimplemented from PARTONS::RunningAlphaStrongModule.

◆ isModuleWellConfigured()

void PARTONS::RunningAlphaStrongStandard::isModuleWellConfigured ( )

protectedvirtual

Pure virtual function that provides skeleton to check if the module is well initialized and configured.

Children must define and override it.

Reimplemented from PARTONS::RunningAlphaStrongModule.

◆ Running()

void PARTONS::RunningAlphaStrongStandard::Running	(	double	Mu,
		double	Lambda,
		unsigned int	NFlavour
	)

private

Evaluate \(\alpha_s\) at four loops.

Member Data Documentation

◆ classId

const unsigned int PARTONS::RunningAlphaStrongStandard::classId

static

Initial value:

=
        BaseObjectRegistry::getInstance()->registerBaseObject(
                new RunningAlphaStrongStandard("RunningAlphaStrongStandard"))

Unique ID to automatically register the class in the registry.

◆ fAlphaS

double PARTONS::RunningAlphaStrongStandard::fAlphaS

private

Current value of strong coupling.

◆ fAlphaSMZ

double PARTONS::RunningAlphaStrongStandard::fAlphaSMZ

private

Reference value of strong coupling.

◆ fB1

double PARTONS::RunningAlphaStrongStandard::fB1

private

Reduced coefficient RunningAlphaStrong::fBeta1 / RunningAlphaStrong::fBeta0.

◆ fB2

double PARTONS::RunningAlphaStrongStandard::fB2

private

Reduced coefficient RunningAlphaStrong::fBeta2 / RunningAlphaStrong::fBeta0.

◆ fB3

double PARTONS::RunningAlphaStrongStandard::fB3

private

Reduced coefficient RunningAlphaStrong::fBeta3 / RunningAlphaStrong::fBeta0.

◆ fBeta0

double PARTONS::RunningAlphaStrongStandard::fBeta0

private

1st coefficient of beta function expansion.

◆ fBeta1

double PARTONS::RunningAlphaStrongStandard::fBeta1

private

2nd coefficient of beta function expansion.

◆ fBeta2

double PARTONS::RunningAlphaStrongStandard::fBeta2

private

3rd coefficient of beta function expansion.

◆ fBeta3

double PARTONS::RunningAlphaStrongStandard::fBeta3

private

4th coefficient of beta function expansion.

◆ fLambdaQCD3

double PARTONS::RunningAlphaStrongStandard::fLambdaQCD3

private

\(\Lambda_{QCD}(n_{f} = 3)\).

◆ fLambdaQCD4

double PARTONS::RunningAlphaStrongStandard::fLambdaQCD4

private

\(\Lambda_{QCD}(n_{f} = 4)\).

◆ fLambdaQCD5

double PARTONS::RunningAlphaStrongStandard::fLambdaQCD5

private

\(\Lambda_{QCD}(n_{f} = 5)\).

◆ fLambdaQCD6

double PARTONS::RunningAlphaStrongStandard::fLambdaQCD6

private

\(\Lambda_{QCD}(n_{f} = 6)\).

◆ fNc

unsigned int PARTONS::RunningAlphaStrongStandard::fNc

private

Number of colors (SU( \(n_{c}\))).

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

include/partons/modules/running_alpha_strong/RunningAlphaStrongStandard.h
src/partons/modules/running_alpha_strong/RunningAlphaStrongStandard.cpp

Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ RunningAlphaStrongStandard() [1/2]

◆ ~RunningAlphaStrongStandard()

◆ RunningAlphaStrongStandard() [2/2]

Member Function Documentation

◆ clone()

◆ compute()

◆ ComputeExpansionCoefficients()

◆ ComputeLambdaQCD()

◆ FindLambda()

◆ GetColourNumber()

◆ initModule()

◆ isModuleWellConfigured()

◆ Running()

Member Data Documentation

◆ classId

◆ fAlphaS

◆ fAlphaSMZ

◆ fB1

◆ fB2

◆ fB3

◆ fBeta0

◆ fBeta1

◆ fBeta2

◆ fBeta3

◆ fLambdaQCD3

◆ fLambdaQCD4

◆ fLambdaQCD5

◆ fLambdaQCD6

◆ fNc