src/form_factor/form_factor_4p [ Modules ]
NAME
Module form_factor_4p
USAGE
use form_factor_4p
DESCRIPTION
This module contains the different form factors for four point amplitudes.
OUTPUT
It exports nine functions:
* a40 -- a function to compute A^{4,0}
* a41 -- a function to compute A^{4,1}
* a42 -- a function to compute A^{4,2}
* a43 -- a function to compute A^{4,3}
* a44 -- a function to compute A^{4,4}
* b42 -- a function to compute B^{4,2}
* b43 -- a function to compute B^{4,3}
* b44 -- a function to compute B^{4,4}
* c44 -- a function to compute C^{4,4}
Note that a4xx, b4xx and c4xx are generic functions which can be called either with a
set of integers or with an integer whose bits represents the set
USES
* precision (src/module/precision_golem.f90) * generic_function_4p (src/integrals/four_point/generic_function_4p.f90) * generic_function_3p (src/integrals/three_point/generic_function_3p.f90) * matrice_s (src/kinematic/matrice_s.f90) * array (src/module/array.f90) * sortie_erreur (src/module/sortie_erreur.f90) * form_factor_type (src/module/form_factor_type.f90) * constante (src/module/constante.f90)
src/form_factor/form_factor_4p/a40_b [ Functions ]
NAME
Function a40_b
USAGE
type(form_factor) = a40_b(b_pin)
DESCRIPTION
This function defines the form factor A^{4,0}.
INPUTS
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a40_s [ Functions ]
NAME
Function a40_s
USAGE
type(form_factor) = a40_s(set)
DESCRIPTION
This function defines the form factor A^{4,0}.
INPUTS
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a41_b [ Functions ]
NAME
Function a41_b
USAGE
type(form_factor) = a41_b(l1,b_pin)
DESCRIPTION
This function defines the form factor A^{4,1}(l_1).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a41_s [ Functions ]
NAME
Function a41_s
USAGE
type(form_factor) = a41_s(l1,set)
DESCRIPTION
This function defines the form factor A^{4,1}(l_1).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a42_b [ Functions ]
NAME
Function a42_b
USAGE
type(form_factor) = a42_b(l1,l2,b_pin)
DESCRIPTION
This function defines the form factor A^{4,2}(l1,l2).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a42_s [ Functions ]
NAME
Function a42_s
USAGE
type(form_factor) = a42_s(l1,l2,set)
DESCRIPTION
This function defines the form factor A^{4,2}(l1,l2).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a43_b [ Functions ]
NAME
Function a43_b
USAGE
type(form_factor) = a43_b(l1,l2,l3,b_pin)
DESCRIPTION
This function defines the form factor A^{4,3}(l1,l2,l3).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* l3 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a43_s [ Functions ]
NAME
Function a43_s
USAGE
type(form_factor) = a43_s(l1,l2,l3,set)
DESCRIPTION
This function defines the form factor A^{4,3}(l1,l2,l3).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* l3 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a44_b [ Functions ]
NAME
Function a44_b
USAGE
type(form_factor) = a44_b(l1,l2,l3,l4,b_pin)
DESCRIPTION
This function defines the form factor A^{4,4}(l1,l2,l3,l4).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* l3 -- an integer corresponding to a label in the set of the three
remaining propagators
* l4 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/a44_s [ Functions ]
NAME
Function a44_s
USAGE
type(form_factor) = a44_s(l1,l2,l3,l4,set)
DESCRIPTION
This function defines the form factor A^{4,4}(l1,l2,l3,l4).
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* l3 -- an integer corresponding to a label in the set of the three
remaining propagators
* l4 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b42_b [ Functions ]
NAME
Function b42_b
USAGE
type(form_factor) = b42_b(b_pin)
DESCRIPTION
This function defines the form factor B^{4,2}.
INPUTS
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b42_s [ Functions ]
NAME
Function b42_s
USAGE
type(form_factor) = b42_s(set)
DESCRIPTION
This function defines the form factor B^{4,2}.
INPUTS
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b43_b [ Functions ]
NAME
Function b43_b
USAGE
type(form_factor) = b43_b(l1,b_pin)
DESCRIPTION
This function defines the form factor B^{4,3}.
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b43_s [ Functions ]
NAME
Function b43_s
USAGE
type(form_factor) = b43_s(l1,set)
DESCRIPTION
This function defines the form factor B^{4,3}.
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b44_b [ Functions ]
NAME
Function b44_b
USAGE
type(form_factor) = b44_b(l1,l2,b_pin)
DESCRIPTION
This function defines the form factor B^{4,4}.
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/b44_s [ Functions ]
NAME
Function b44_s
USAGE
type(form_factor) = b44_s(l1,l2,set)
DESCRIPTION
This function defines the form factor B^{4,4}.
INPUTS
* l1 -- an integer corresponding to a label in the set of the three
remaining propagators
* l2 -- an integer corresponding to a label in the set of the three
remaining propagators
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/c44_b [ Functions ]
NAME
Function c44_b
USAGE
type(form_factor) = c44_b(b_pin)
DESCRIPTION
This function defines the form factor C^{4,4}.
INPUTS
* b_pin -- an integer whose bits represent an array of integers of rank 1 corresponding
to the label of the propagators pinched (removed from the original set
which is in the global variable b_ref)
SIDE EFFECTS
No side effect, it uses the value of the global variables b_ref and s_mat_p
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE
src/form_factor/form_factor_4p/c44_s [ Functions ]
NAME
Function c44_s
USAGE
type(form_factor) = c44_s(set)
DESCRIPTION
This function defines the form factor C^{4,4}.
INPUTS
* set -- an array of integers of rank 1 corresponding to the label
of the propagators pinched (removed from the original set
which is in the global variable set_ref)
SIDE EFFECTS
No side effect
RETURN VALUE
The result returned is of the type form_factor It returns an array of three complex (type ki) corresponding to the real part, imaginary part of the coefficient in front 1/epsilon^2, the real part, imaginary part of the 1/epsilon term and the real part, imaginary part of the constant term.
EXAMPLE