## 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

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

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

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

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

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

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

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

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

EXAMPLE