The "AnalyticSolutions" class that return the analytic solutions. More...

#include <analyticsolutions.h>

Public Member Functions
	AnalyticSolutions (YAML::Node const &config)
	The "AnalyticSolutions" constructor. More...

	AnalyticSolutions (YAML::Node const &config, int const &orderA, std::vector< bool > const orderR)
	The "AnalyticSolutions" constructor. More...

void	SetPhotonMatching (std::vector< double > const &vec)
	Set the parameters for photon matching. More...

void	SetNumInt (bool const &numint)
	Turn on or off the numeric integrals (which vanish in the z->1 limit) More...

void	SetRecHat (bool const &rechatON)
	Turn on or off the terms vanishing in the z->1 limit. More...

double	GetSolution (double const &x, double const &Q, int const &id, std::string const &term)
	Return only part of the solution. More...

double	Evolve (double const &x, double const &Q, int const &id)
	Function that returns the PDFs in x space. More...

std::vector< double >	Evolve (double const &x, double const &Q)
	Function that returns all PDFs in x space as a vector. More...

double	TestPhoton (double const &x, double const &Q, std::string test)
	Function that returns the photon PDF in x space. More...

Private Member Functions
Utility functions
double	RecSeries (std::vector< double > const &series) const
	Build the perturbative series. More...

void	Warmup (double const &Q)
	Set up the Q dependent terms. More...

double	AsySolution (double const &x, int const &id) const
	Returns the different solutions. N.B. only the x-dependent part, should be called after Warmup. More...

double	AsyBarSolution (double const &x, int const &id) const

double	RecSolution (double const &x, int const &id) const

double	RecBarSolution (double const &x, int const &id) const

std::vector< double >	RecBarNS (double const &z) const
	Returns a vector with the \bar{J}_k(z) for k = LL1, LL2, LL3, NLL0, NLL1, NLL2. More...

std::vector< double >	RecBarS (double const &z) const

std::vector< double >	RecBarG (double const &z) const

std::vector< double >	RecHatNS (double const &z) const
	Returns a vector with the \hat{J}_k(z) for k = LL1, LL2, LL3, NLL0, NLL1, NLL2. More...

std::vector< double >	RecHatS (double const &z) const

std::vector< double >	RecHatG (double const &z) const

double	AsyEleAF (double const &z) const

double	AsyEleAR (double const &z) const

std::vector< double >	AsyEleBarAF (double const &z) const

std::vector< double >	AsyEleBarAR (double const &z) const

double	AsyPhoton (double const &z) const
	This contains AR and AF. More...

double	sumRiMi (double const &C1, double const &C2, double const &C3, double const &C4, double const &C5, double const &z, double const &k, double const &M1, double const &M2) const
	Auxiliary function used in AsyPhoton. More...

std::vector< double >	AsyPhotonBar (double const &z) const
	This contains AR and AF. More...

double	AsyPhotonSIMPLIFIED (double const &z) const

Private Attributes
AlphaQED	_aQED
	Coupling object. More...

const double	_Qi
	Initial scale. More...

const double	_nl
	Active number of. More...

bool	_numint
	If true, numerical contributions calculated. More...

bool	_rechatON
	If true, hat terms retained. More...

Beta-function coefficients
Convert Beta0 e Beta1 (relative to alpha/(4 pi) expansion) in b0 e b1 (relative to alpha expansion)
const double	_b0

const double	_b1


const double	_a0twopi

const double	_L0

double	_atwopi

double	_t

double	_eta0


std::vector< bool >	_orderR

int	_orderA


double	_x0photon

double	_x1photon

double	_pphoton

Detailed Description

The "AnalyticSolutions" class that return the analytic solutions.

Constructor & Destructor Documentation

◆ AnalyticSolutions() [1/2]

ePDF::AnalyticSolutions::AnalyticSolutions ( YAML::Node const & config )

The "AnalyticSolutions" constructor.

Parameters

config the YAML:Node with the parameters

Note: It reads the perturbative order from config file

◆ AnalyticSolutions() [2/2]

ePDF::AnalyticSolutions::AnalyticSolutions	(	YAML::Node const &	config,
		int const &	orderA,
		std::vector< bool > const	orderR
	)

The "AnalyticSolutions" constructor.

Parameters

config	the YAML:Node with the parameters
orderA	0 == LL, 1 = NLL
orderR	turn on or off contributions aL,(aL)^2,(aL)^3, a, a^2L, a^3L^2

Note: It overwrites the perturbative order found in config file

Member Function Documentation

◆ AsyBarSolution()

double ePDF::AnalyticSolutions::AsyBarSolution	(	double const &	x,
		int const &	id
	)		const

private

◆ AsyEleAF()

double ePDF::AnalyticSolutions::AsyEleAF ( double const & z ) const

private

◆ AsyEleAR()

double ePDF::AnalyticSolutions::AsyEleAR ( double const & z ) const

private

◆ AsyEleBarAF()

std::vector<double> ePDF::AnalyticSolutions::AsyEleBarAF ( double const & z ) const

private

◆ AsyEleBarAR()

std::vector<double> ePDF::AnalyticSolutions::AsyEleBarAR ( double const & z ) const

private

◆ AsyPhoton()

double ePDF::AnalyticSolutions::AsyPhoton ( double const & z ) const

private

This contains AR and AF.

◆ AsyPhotonBar()

std::vector<double> ePDF::AnalyticSolutions::AsyPhotonBar ( double const & z ) const

private

This contains AR and AF.

◆ AsyPhotonSIMPLIFIED()

double ePDF::AnalyticSolutions::AsyPhotonSIMPLIFIED ( double const & z ) const

private

Note: TO BE TESTED

◆ AsySolution()

double ePDF::AnalyticSolutions::AsySolution	(	double const &	x,
		int const &	id
	)		const

private

Returns the different solutions. N.B. only the x-dependent part, should be called after Warmup.

◆ Evolve() [1/2]

std::vector<double> ePDF::AnalyticSolutions::Evolve	(	double const &	x,
		double const &	Q
	)

Function that returns all PDFs in x space as a vector.

Parameters

x	Bjorken x
Q	the final scale

◆ Evolve() [2/2]

double ePDF::AnalyticSolutions::Evolve	(	double const &	x,
		double const &	Q,
		int const &	id
	)

Function that returns the PDFs in x space.

Parameters

x	Bjorken x
Q	the final scale
id	PDF "flavour" (0: singlet, 1: photon, 2: nonsinglet)

◆ GetSolution()

double ePDF::AnalyticSolutions::GetSolution	(	double const &	x,
		double const &	Q,
		int const &	id,
		std::string const &	term
	)

Return only part of the solution.

Parameters

x	Bjorken x
Q	the final scale
term	A == asy, R == rec, ABAR = expansion of asy, RBAR = terms not vanishing in the z->1 limit

◆ RecBarG()

std::vector<double> ePDF::AnalyticSolutions::RecBarG ( double const & z ) const

private

◆ RecBarNS()

std::vector<double> ePDF::AnalyticSolutions::RecBarNS ( double const & z ) const

private

Returns a vector with the \bar{J}_k(z) for k = LL1, LL2, LL3, NLL0, NLL1, NLL2.

◆ RecBarS()

std::vector<double> ePDF::AnalyticSolutions::RecBarS ( double const & z ) const

private

◆ RecBarSolution()

double ePDF::AnalyticSolutions::RecBarSolution	(	double const &	x,
		int const &	id
	)		const

private

◆ RecHatG()

std::vector<double> ePDF::AnalyticSolutions::RecHatG ( double const & z ) const

private

◆ RecHatNS()

std::vector<double> ePDF::AnalyticSolutions::RecHatNS ( double const & z ) const

private

Returns a vector with the \hat{J}_k(z) for k = LL1, LL2, LL3, NLL0, NLL1, NLL2.

◆ RecHatS()

std::vector<double> ePDF::AnalyticSolutions::RecHatS ( double const & z ) const

private

◆ RecSeries()

double ePDF::AnalyticSolutions::RecSeries ( std::vector< double > const & series ) const

private

Build the perturbative series.

◆ RecSolution()

double ePDF::AnalyticSolutions::RecSolution	(	double const &	x,
		int const &	id
	)		const

private

◆ SetNumInt()

void ePDF::AnalyticSolutions::SetNumInt ( bool const & numint )

Turn on or off the numeric integrals (which vanish in the z->1 limit)

◆ SetPhotonMatching()

void ePDF::AnalyticSolutions::SetPhotonMatching ( std::vector< double > const & vec )

Set the parameters for photon matching.

◆ SetRecHat()

void ePDF::AnalyticSolutions::SetRecHat ( bool const & rechatON )

Turn on or off the terms vanishing in the z->1 limit.

◆ sumRiMi()

double ePDF::AnalyticSolutions::sumRiMi	(	double const &	C1,
		double const &	C2,
		double const &	C3,
		double const &	C4,
		double const &	C5,
		double const &	z,
		double const &	k,
		double const &	M1,
		double const &	M2
	)		const

private

Auxiliary function used in AsyPhoton.

◆ TestPhoton()

double ePDF::AnalyticSolutions::TestPhoton	(	double const &	x,
		double const &	Q,
		std::string	test
	)

Function that returns the photon PDF in x space.

Parameters

x	Bjorken x
Q	the final scale
test	solution type

◆ Warmup()

void ePDF::AnalyticSolutions::Warmup ( double const & Q )

private

Set up the Q dependent terms.

Member Data Documentation

◆ _a0twopi

const double ePDF::AnalyticSolutions::_a0twopi

private

@nameSave internal values during calculations

◆ _aQED

AlphaQED ePDF::AnalyticSolutions::_aQED

private

Coupling object.

◆ _atwopi

double ePDF::AnalyticSolutions::_atwopi

private

◆ _b0

const double ePDF::AnalyticSolutions::_b0

private

◆ _b1

const double ePDF::AnalyticSolutions::_b1

private

◆ _eta0

double ePDF::AnalyticSolutions::_eta0

private

◆ _L0

const double ePDF::AnalyticSolutions::_L0

private

◆ _nl

const double ePDF::AnalyticSolutions::_nl

private

Active number of.

◆ _numint

bool ePDF::AnalyticSolutions::_numint

private

If true, numerical contributions calculated.

◆ _orderA

int ePDF::AnalyticSolutions::_orderA

private

◆ _orderR

std::vector<bool> ePDF::AnalyticSolutions::_orderR

private

@nameselect the accuracy of the perturbative solution

◆ _pphoton

double ePDF::AnalyticSolutions::_pphoton

private

◆ _Qi

const double ePDF::AnalyticSolutions::_Qi

private

Initial scale.

◆ _rechatON

bool ePDF::AnalyticSolutions::_rechatON

private

If true, hat terms retained.

◆ _t

double ePDF::AnalyticSolutions::_t

private

◆ _x0photon

double ePDF::AnalyticSolutions::_x0photon

private

@nameParameters for photon matching

◆ _x1photon

double ePDF::AnalyticSolutions::_x1photon

private

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

/Users/vbertone/Codes/ePDF/inc/ePDF/analyticsolutions.h

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ AnalyticSolutions() [1/2]

◆ AnalyticSolutions() [2/2]

Member Function Documentation

◆ AsyBarSolution()

◆ AsyEleAF()

◆ AsyEleAR()

◆ AsyEleBarAF()

◆ AsyEleBarAR()

◆ AsyPhoton()

◆ AsyPhotonBar()

◆ AsyPhotonSIMPLIFIED()

◆ AsySolution()

◆ Evolve() [1/2]

◆ Evolve() [2/2]

◆ GetSolution()

◆ RecBarG()

◆ RecBarNS()

◆ RecBarS()

◆ RecBarSolution()

◆ RecHatG()

◆ RecHatNS()

◆ RecHatS()

◆ RecSeries()

◆ RecSolution()

◆ SetNumInt()

◆ SetPhotonMatching()

◆ SetRecHat()

◆ sumRiMi()

◆ TestPhoton()

◆ Warmup()

Member Data Documentation

◆ _a0twopi

◆ _aQED

◆ _atwopi

◆ _b0

◆ _b1

◆ _eta0

◆ _L0

◆ _nl

◆ _numint

◆ _orderA

◆ _orderR

◆ _pphoton

◆ _Qi

◆ _rechatON

◆ _t

◆ _x0photon

◆ _x1photon