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src/form_factor/form_factor_2p [ Modules ]

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NAME

  Module form_factor_2p

USAGE

  use form_factor_2p

DESCRIPTION

  This module contains the different form factors for two point amplitudes.

OUTPUT

  It exports four functions:
  * a20 -- a function to compute A^{2,0}
  * a21 -- a function to compute A^{2,1}
  * a22 -- a function to compute A^{2,2}
  * b22 -- a function to compute B^{2,2}

  Note that a2xx and b2xx 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_2p (src/integrals/two_point/generic_function_2p.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_2p/a20_b [ Functions ]

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NAME

  Function a20_b

USAGE

  type(form_factor) = a20_b(b_pin)

DESCRIPTION

 This function defines the form factor A^{2,0}.

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_2p/a20_s [ Functions ]

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NAME

  Function a20_s

USAGE

  type(form_factor) = a20_s(set)

DESCRIPTION

 This function defines the form factor A^{2,0}.

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_2p/a21_b [ Functions ]

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NAME

  Function a21_b

USAGE

  type(form_factor) = a21_b(l1,b_pin)

DESCRIPTION

 This function defines the form factor A^{2,1}(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_2p/a21_s [ Functions ]

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NAME

  Function a21_s

USAGE

  type(form_factor) = a21_s(l1,set)

DESCRIPTION

 This function defines the form factor A^{2,1}(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_2p/a22_b [ Functions ]

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NAME

  Function a22_b

USAGE

  type(form_factor) = a22_b(l1,l2,b_pin)

DESCRIPTION

 This function defines the form factor A^{2,2}(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_2p/a22_s [ Functions ]

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NAME

  Function a22_s

USAGE

  type(form_factor) = a22_s(l1,l2,set)

DESCRIPTION

 This function defines the form factor A^{2,2}(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_2p/b22_b [ Functions ]

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NAME

  Function b22_b

USAGE

  type(form_factor) = b22_b(b_pin)

DESCRIPTION

 This function defines the form factor B^{2,2}.

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_2p/b22_s [ Functions ]

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NAME

  Function b22_s

USAGE

  type(form_factor) = b22_s(set)

DESCRIPTION

 This function defines the form factor B^{2,2}.

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.