src/form_factor/form_factor_3p [ Modules ]
NAME
Module form_factor_3p
USAGE
use form_factor_3p
DESCRIPTION
This module contains the different form factors for three point amplitudes.
OUTPUT
It exports six functions:
* a30 -- a function to compute A^{3,0}
* a31 -- a function to compute A^{3,1}
* a32 -- a function to compute A^{3,2}
* a33 -- a function to compute A^{3,3}
* b32 -- a function to compute B^{3,2}
* b33 -- a function to compute B^{3,3}
Note that a3xx and b3xx 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_3p (src/integrals/three_point/generic_function_3p.f90) * matrice_s (src/kinematic/matrice_s.f90) * array (src/module/array.f90) * form_factor_type (src/module/form_factor_type.f90) * constante (src/module/constante.f90)
src/form_factor/form_factor_3p/a30_b [ Functions ]
NAME
Function a30_b
USAGE
type(form_factor) = a30_b(b_pin)
DESCRIPTION
This function defines the form factor A^{3,0}.
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_3p/a30_s [ Functions ]
NAME
Function a30_s
USAGE
type(form_factor) = a30_s(set)
DESCRIPTION
This function defines the form factor A^{3,0}.
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_3p/a31_b [ Functions ]
NAME
Function a31_b
USAGE
type(form_factor) = a31_b(l1,b_pin)
DESCRIPTION
This function defines the form factor A^{3,1}(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_3p/a31_s [ Functions ]
NAME
Function a31_s
USAGE
type(form_factor) = a31_s(l1,set)
DESCRIPTION
This function defines the form factor A^{3,1}(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_3p/a32_b [ Functions ]
NAME
Function a32_b
USAGE
type(form_factor) = a32_b(l1,l2,b_pin)
DESCRIPTION
This function defines the form factor A^{3,2}(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_3p/a32_s [ Functions ]
NAME
Function a32_s
USAGE
type(form_factor) = a32_s(l1,l2,set)
DESCRIPTION
This function defines the form factor A^{3,2}(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_3p/a33_b [ Functions ]
NAME
Function a33_b
USAGE
type(form_factor) = a33_b(l1,l2,l3,b_pin)
DESCRIPTION
This function defines the form factor A^{3,3}(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_3p/a33_s [ Functions ]
NAME
Function a33_s
USAGE
type(form_factor) = a33_s(l1,l2,l3,set)
DESCRIPTION
This function defines the form factor A^{3,3}(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_3p/b32_b [ Functions ]
NAME
Function b32_b
USAGE
type(form_factor) = b32_b(b_pin)
DESCRIPTION
This function defines the form factor B^{3,2}.
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_3p/b32_s [ Functions ]
NAME
Function b32_s
USAGE
type(form_factor) = b32_s(set)
DESCRIPTION
This function defines the form factor B^{3,2}.
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_3p/b33_b [ Functions ]
NAME
Function b33_b
USAGE
type(form_factor) = b33_b(l1,b_pin)
DESCRIPTION
This function defines the form factor B^{3,3}.
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_3p/b33_s [ Functions ]
NAME
Function b33_s
USAGE
type(form_factor) = b33_s(l1,set)
DESCRIPTION
This function defines the form factor B^{3,3}.
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