#include <tadpole.h>

Inheritance diagram for ql::TadPole< TOutput, TMass, TScale >:

Collaboration diagram for ql::TadPole< TOutput, TMass, TScale >:

Public Member Functions
	TadPole ()
	The Constructor.

	~TadPole ()
	The Destructor.

void	integral (vector< TOutput > &res, TScale const &mu2, vector< TMass > const &m, vector< TScale > const &p={})
	Computes the tadpole integral. More...

Public Member Functions inherited from ql::Topology< TOutput, TMass, TScale >
	Topology (string name="None")
	Topology<TOutput, TMass>::Topology. More...

	Topology (const Topology &obj)
	Topology<TOutput, TMass>::Topology. More...

virtual	~Topology ()
	Topology<TOutput, TMass>::~Topology.

string const &	getName () const
	Get topology name.

Public Member Functions inherited from ql::Tools< TOutput, TMass, TScale >
	Tools ()
	The Constructor.

	~Tools ()
	The Destructor.

bool	iszero (TMass const &psq) const
	Check for zeros. More...

TOutput	cLn (TOutput const &z, TScale const &isig) const
	Log of complex argument with explicit sign for imag part. More...

TOutput	cLn (TScale const &x, TScale const &isig) const

TOutput	fndd (int const &n, TOutput const &x, TScale const &iep) const
	The fndd function. More...

TOutput	Lnrat (TOutput const &x, TOutput const &y) const
	Computes the ratio of logs. More...

TOutput	Lnrat (TScale const &x, TScale const &y) const

TMass	ddilog (TMass const &x) const
	Computes the dilog function for real argument. More...

TOutput	denspence (TOutput const &z, TScale const &isig) const
	Spence's function. More...

TOutput	spencer (TOutput const &zrat1, TOutput const &zrat2, TScale const &ieps1, TScale const &ieps2) const
	Spence's function for ratio arguments. More...

TOutput	xspence (TOutput const (&z1)[2], TScale const (&im1)[2], TOutput const &z2, TScale const &im2) const
	Difference of complex Spence's function. More...

TOutput	cspence (TOutput const &z1, TScale const &im1, TOutput const &z2, TScale const &im2) const
	Complex Spence's function. More...

TOutput	Li2omrat (TScale const &x, TScale const &y) const
	Expression for dilog(1-(x-iep)/(y-iep)). More...

TOutput	Li2omrat (TOutput const &x, TOutput const &y, TScale const &ieps1=-1, TScale const &ieps2=-1) const

TOutput	Li2omx2 (TScale const &v, TScale const &w, TScale const &x, TScale const &y) const
	Expression for dilog(1-(v-iep)(w-iep)/(x-iep)/(y-i*ep)). More...

TOutput	Li2omx2 (TOutput const &v, TOutput const &w, TOutput const &x, TOutput const &y, TScale const &ieps1=-1, TScale const &ieps2=-1) const

TOutput	cLi2omx2 (TOutput const &z1, TOutput const &z2, TScale const &ieps1=-1, TScale const &ieps2=-1) const

TOutput	Li2omx (TMass const &x1, TMass const &x2, TScale const &ieps1, TScale const &ieps2) const
	Calculate Li[2](1-(x1+ieps1)*(x2+ieps2)) More...

TOutput	cLi2omx3 (TOutput const &z1, TOutput const &z2, TOutput const &z3, TScale const &ieps1, TScale const &ieps2, TScale const &ieps3) const
	Calculate Li[2](1-(z1+ieps1)(z2+ieps2)(z3+ieps3)) More...

TOutput	L0 (TMass const &x, TMass const &y) const

TOutput	L1 (TMass const &x, TMass const &y) const

TOutput	R3int (TOutput const &p, TOutput const &s1, TOutput const &s2, TOutput const &t1) const

TOutput	R3int (TOutput const &p, TOutput const &s1, TOutput const &s2, TOutput const &t1, TOutput const &t2, TOutput const &t3, TOutput const &t4) const

TOutput	R2int (TOutput const &a, TOutput const &b, TOutput const &y0) const

TOutput	Rint (TOutput const &y, TOutput const &z, TScale const &ieps) const

void	R (TOutput &r, TOutput &d, TOutput const &q) const
	Tools<TOutput, TMass, TScale>::R. More...

TOutput	Zlogint (TOutput const &z, TScale const &ieps) const
	Tools<TOutput, TMass, TScale>::qlZlogint. More...

TOutput	ltspence (int const &i_in, TOutput const &z_in, TScale const &s) const

TOutput	li2series (TOutput const &z, TScale const &isig) const

TOutput	ltli2series (TOutput const &z1, TScale const &s) const

TOutput	eta2 (TOutput const &a, TOutput const &b) const

TOutput	eta3 (TOutput const &a, TOutput const &b, TOutput const &c) const

TOutput	eta5 (TOutput const &a, TOutput const &b, TOutput const &c, TOutput const &d, TOutput const &e) const

TOutput	xetatilde (TOutput const (&z1)[2], TScale const (&im1)[2], TOutput const &z2, TScale const &im2, TOutput const (&l1)[2]) const

TOutput	xeta (TOutput const (&z1)[2], TScale const (&im1)[2], TOutput const &z2, TScale const &im2, TScale const &im12, TOutput const (&l1)[2]) const

int	eta (TOutput const &z1, TScale const &s1, TOutput const &z2, TScale const &s2, TScale const &s12) const

int	etatilde (TOutput const &c1, TScale const &im1x, TOutput const &c2, TScale const &im2x) const

void	kfn (TOutput(&res)[3], TScale &ieps, TMass const &xpi, TMass const &xm, TMass const &xmp) const
	The K-function. More...

void	solveabc (TMass const &a, TMass const &b, TMass const &c, TOutput(&z)[2]) const
	Solution of the quadratic equation. More...

void	solveabcd (TOutput const &a, TOutput const &b, TOutput const &c, TOutput const &d, TOutput(&z)[2]) const
	Solution of the quadratic equation passing the discriminant. More...

void	solveabcd (TOutput const &a, TOutput const &b, TOutput const &c, TOutput(&z)[2]) const

void	ratgam (TOutput &ratp, TOutput &ratm, TScale &ieps, TMass const &p3sq, TMass const &m3sq, TMass const &m4sq) const
	Ratio function. More...

void	ratreal (TMass const &si, TMass const &ta, TMass &rat, TScale &ieps) const
	Ratio function. More...

Public Member Functions inherited from ql::LRUCache< size_t, vector< TOutput > >
	LRUCache (int const &size=1)
	LRUCache constructor. More...

	LRUCache (const LRUCache &obj)

void	setCacheSize (int const &size)
	Set the Cache size.

int const &	getCacheSize () const
	Get the Cache size.

void	store (size_tconst &key, vector< TOutput >const &value)
	Store the cached data.

bool	get (size_tconst &key, vector< TOutput > &out)
	Get the cached data.

Additional Inherited Members
Public Types inherited from ql::LRUCache< size_t, vector< TOutput > >
typedef std::pair< size_t, vector< TOutput > >	key_value_pair_t

typedef std::list< key_value_pair_t >::iterator	list_iterator_t

Protected Member Functions inherited from ql::Topology< TOutput, TMass, TScale >
bool	checkCache (TScale const &, vector< TMass > const &, vector< TScale > const &)
	< Check stored cached results More...

void	storeCache (TScale const &, vector< TMass > const &, vector< TScale > const &)
	Topology<TOutput, TMass>::storeCache.

Protected Attributes inherited from ql::Topology< TOutput, TMass, TScale >
string	_name

size_t	_key

TScale	_mu2

vector< TMass >	_m

vector< TScale >	_p

vector< TOutput >	_val

ContainerHasher< TMass, TScale > *	_ch

Protected Attributes inherited from ql::Tools< TOutput, TMass, TScale >
TScale	_pi

TScale	_pi2

TScale	_pio3

TScale	_pio6

TScale	_pi2o3

TScale	_pi2o6

TScale	_pi2o12

TScale	_zero

TScale	_half

TScale	_one

TScale	_two

TScale	_three

TScale	_four

TScale	_five

TScale	_six

TScale	_ten

TScale	_eps

TScale	_eps4

TScale	_eps7

TScale	_eps10

TScale	_eps14

TScale	_eps15

TScale	_xloss

TScale	_neglig

TScale	_reps

TOutput	_2ipi

TOutput	_ipio2

TOutput	_ipi

TOutput	_czero

TOutput	_chalf

TOutput	_cone

TOutput	_ctwo

TOutput	_cthree

TOutput	_cfour

TOutput	_ieps

TOutput	_ieps2

TOutput	_ieps50

Detailed Description

template<typename TOutput = complex, typename TMass = double, typename TScale = double>
class ql::TadPole< TOutput, TMass, TScale >

The TadPole integral.

Parses automatically the topology and computes the integral

Member Function Documentation

template<typename TOutput , typename TMass , typename TScale >

void ql::TadPole< TOutput, TMass, TScale >::integral	(	vector< TOutput > &	res,
		TScale const &	mu2,
		vector< TMass > const &	m,
		vector< TScale > const &	p = `{}`
	)

virtual

Computes the tadpole integral.

Computes the TadPole integral defined as:

\[ I_{1}^{D=4-2 \epsilon}(m^2)= m^2 \left( \frac{\mu^2}{m^2-i \epsilon}\right) \left[ \frac{1}{\epsilon} +1 \right] + O(\epsilon) \]

.

Implementation of the formulae of Denner and Dittmaier [5].

Parameters

res	output object res[0,1,2] the coefficients in the Laurent series
mu2	is the squre of the scale mu
m	are the squares of the masses of the internal lines
p	are the four-momentum squared of the external lines

Implements ql::Topology< TOutput, TMass, TScale >.

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

/home/carrazza/repo/github/qcdloop/src/qcdloop/tadpole.h
/home/carrazza/repo/github/qcdloop/src/tadpole.cc

Public Member Functions

Additional Inherited Members

Detailed Description

template<typename TOutput = complex, typename TMass = double, typename TScale = double> class ql::TadPole< TOutput, TMass, TScale >

Member Function Documentation

template<typename TOutput = complex, typename TMass = double, typename TScale = double>
class ql::TadPole< TOutput, TMass, TScale >