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src/form_factor/form_factor_3p [ Modules ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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 ]

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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