src/integrals/four_point/function_4p_ql14 [ Modules ]
NAME
Module function_4p_ql14
USAGE
use function_4p_ql14
DESCRIPTION
This module computes the n-dimensional four point function corresponding to QCDLoop box number 14 implemented only without Feynman parameters in the numerator!
OUTPUT
This module exports the functions f4p_ql14, f4p_ql14_c all the other subroutines/functions of this module are private
USES
* precision (src/module/precision_golem.f90) * numerical_evaluation (src/numerical/mod_numeric.f90) * dilogarithme (src/module/zdilog.f90) * logarithme (src/module/z_log.f90) * constante (src/module/constante.f90) * parametre (src/module/parametre.f90) * array (src/module/array.f90) * sortie_erreur (src/module/sortie_erreur.f90) * generic_function_3p (src/integrals/three_point/generic_function_3p.f90) * translate (src/module/translate.f90) * more_integ_info (src/module/more_integ_info.f90)
src/integrals/four_point/function_4p_ql14/f4p_ql14 [ Functions ]
NAME
Function f4p_ql14
USAGE
real_dim_4 = f4p_ql14(dim,s1,s2,s3,s4,s12,s23,m1s,m2s,m3s,m4s,par1,par2,par3,par4,mu2)
DESCRIPTION
computes the n-dimensional four point function with 1 internal mass and two massive on-shell legs, corresponding to QCDLoop box number 6
INPUTS
* dim -- a character , dim="n" (4-2*eps) - dimensional * s12 -- a real (type ki), the S matrix element 2,4 +m1s+m2s * s23 -- a real (type ki), the S matrix element 2,3 +m2s+m3s * s1 -- a real (type ki), the S matrix element 1,4 * s2 -- a real (type ki), the S matrix element 2,1 * s3 -- a real (type ki), the S matrix element 3,2 * s4 -- a real (type ki), the S matrix element 4,3 * m1s -- a real (type ki), -1/2*the S matrix element 1,1 * m2s -- a real (type ki), -1/2*the S matrix element 2,2 * m3s -- a real (type ki), -1/2*the S matrix element 3,3 * m4s -- a real (type ki), -1/2*the S matrix element 4,4 * par1 -- an integer, the label of the fourth Feynman parameter, if none, put 0 * par2 -- an integer, the label of the third Feynman parameter, if none, put 0 * par3 -- an integer, the label of the second Feynman parameter, if none, put 0 * par4 -- an integer, the label of the first Feynman parameter, if none, put 0 Be careful that, in this function, the arguments par1, par2, par3 and par4 are mandatory, otherwise use the generic four point function f4p_np2 (f4p_np4).
SIDE EFFECTS
No side effects
RETURN VALUE
this function returns an array of four reals (type ki) corresponding to the real imaginary part of 1/epsilon coefficient, real, imaginary part of the finite part (as epsilon --> 0)
EXAMPLE
src/integrals/four_point/function_4p_ql14/f4p_ql14_c [ Functions ]
NAME
Function f4p_ql14_c
USAGE
complex_dim_4 = f4p_ql14_c(dim,s24,s13,s23,s34,par1,par2,par3,par4,mu2)
DESCRIPTION
This function also computes the function f4p_ql14
INPUTS
* dim -- a character, dim="n" * s12 -- a real (type ki), the S matrix element 2,4 +m1s+m2s * s23 -- a real (type ki), the S matrix element 2,3 +m2s+m3s * s1 -- a real (type ki), the S matrix element 1,4 * s2 -- a real (type ki), the S matrix element 2,1 * s3 -- a real (type ki), the S matrix element 3,2 * s4 -- a real (type ki), the S matrix element 4,3 * m1s -- a real (type ki), -1/2*the S matrix element 1,1 * m2s -- a real (type ki), -1/2*the S matrix element 2,2 * m3s -- a real (type ki), -1/2*the S matrix element 3,3 * m4s -- a real (type ki), -1/2*the S matrix element 4,4 * par1 -- an integer, the label of the fourth Feynman parameter, if none, put 0 * par2 -- an integer, the label of the third Feynman parameter, if none, put 0 * par3 -- an integer, the label of the second Feynman parameter, if none, put 0 * par4 -- an integer, the label of the first Feynman parameter, if none, put 0
SIDE EFFECTS
No side effects
RETURN VALUE
this function returns an array of two complexs (type ki) corresponding to the 1/epsilon coefficient and the finite part (as epsilon --> 0)
EXAMPLE
see function f4p_ql14