src/integral/three_point/function_3p1m_2mi [ Modules ]
NAME
Module function_3p1m_2mi
USAGE
use function_3p1m_2mi
DESCRIPTION
This module is used to compute the one off-shell external leg two internal mass three point function with/without Feynman parameters in n, n+2 dimensions
OUTPUT
This module exports two functions:
* f3p1m_2mi -- a function for the computation of the one off-shell external leg two internal mass three
point function with/without Feynman parameters in n dimensions
* f3p1m_2mi_np2 -- a function for the computation of the one off-shell external leg two internal mass three
point function with/without Feynman parameters in n+2 dimensions
USES
* precision (src/module/precision_golem.f90) * func_gn (src/integrals/three_point/mod_gn.f90) * sortie_erreur (src/module/sortie_erreur.f90) only : tab_erreur_par,catch_exception,origine_info_par,num_grand_b_info_par,denom_grand_b_info_par * constante (src/module/constante.f90) only : un,i_,pi6 * parametre (src/module/parametre.f90) only : rat_or_tot_par,mu2_scale_par * array (src/module/array.f90) only : packb
src/integral/three_point/function_3p1m_2mi/f3p1m_2mi [ Functions ]
NAME
Function f3p1m_2mi
USAGE
real_dim6 = f3p1m_2mi(s13,m1_sq,m3_sq,par1,par2,par3)
DESCRIPTION
This function computes the one off-shell external leg two internal mass three point function in n dimensions with up to three Feynman parameters in the numerator. It retuns an array of 6 reals corresponding to the real/imaginary part of the coefficient of the 1/epsilon^2 term, real/imaginary part of the coefficient of the 1/epsilon term and the real/imaginary part of the constant term.
INPUTS
* s13 -- real (type ki), the value of the S matrix element corresponding to the external off-shell leg * m1_sq -- real (type ki), the value of the first internal mass squared * m3_sq -- real (type ki), the value of the second internal mass squared * par1 -- an integer, the label of the third Feynman parameter * par2 -- an integer, the label of the second Feynman parameter * par3 -- an integer, the label of the first Feynman parameter Note that par1,par2 and par3 are supposed to be ordered, i.e. par1 <= par2 <= par3, note also that put zero for par1, par2 or par3 if this Feynman parameter does not exist. Use the routine tri_int(t_in,t_out) to order the labels in the module tri_croissant (src/module/tri.f90)
SIDE EFFECTS
No side effect
RETURN VALUE
An real (type ki) array of rank 1 and shape 6 corresponding to the real/imaginary part of the coefficient of the 1/epsilon^2 term, real/imaginary part of the coefficient of the 1/epsilon term and the real/imaginary part of the constant term.
EXAMPLE
src/integral/three_point/function_3p1m_2mi/f3p1m_2mi_np2 [ Functions ]
NAME
Function f3p1m_2mi_np2
USAGE
real_dim4 = f3p1m_2mi_np2(s13,m1_sq,m3_sq,par1,par2,par3)
DESCRIPTION
This function computes the one off-shell external leg two internal mass three point function in n+2 dimensions. with up to one Feynman parameter in the numerator. It retuns an array of 4 reals corresponding to the real/imaginary part of the coefficient of the 1/epsilon term and the real/imaginary part of the constant term.
INPUTS
* s13 -- real (type ki), the value of the S matrix element corresponding to the external off-shell leg * m1_sq -- real (type ki), the value of the first internal mass squared * m3_sq -- real (type ki), the value of the second internal mass squared * par1 -- an integer, the label of the third Feynman parameter = 0 * par2 -- an integer, the label of the second Feynman parameter = 0 * par3 -- an integer, the label of the first Feynman parameter Note that par1,par2 and par3 are supposed to be ordered, i.e. par1 <= par2 <= par3, note also that put zero for par1, par2 or par3 if this Feynman parameter does not exist. Use the routine tri_int(t_in,t_out) to order the labels in the module tri_croissant (src/module/tri.f90)
SIDE EFFECTS
No side effect
RETURN VALUE
An real (type ki) array of rank 1 and shape 4 corresponding to the real/imaginary part of the coefficient of the 1/epsilon term and the real/imaginary part of the constant term. If par1 and/or par2 are different from zero, an error is returned.
EXAMPLE