src/interface/tens_comb [ Modules ]
NAME
Module tens_comb
USAGE
use tens_comb
DESCRIPTION
This module contains the routines necessary for the contraction of the tensor coefficients as reconstructed by the module tens_rec with the according tensor integrals. Please, note that this module is generated by a script and should not be modified manually. In order to make changes to this module rerun the Python script tool/tens_rec/tens.py
USES
* precision_golem (src/module/precision_golem.f90) * matrice_s (src/kinematics/matrice_s.f90) * array (src/module/array.f90) * form_factor_type (src/module/form_factor_type.f90) * form_factor_2p (src/form_factor/form_factor_2p.f90) * form_factor_3p (src/form_factor/form_factor_3p.f90) * form_factor_4p (src/form_factor/form_factor_4p.f90) * form_factor_5p (src/form_factor/form_factor_5p.f90) * form_factor_6p (src/form_factor/form_factor_6p.f90) * form_factor_higher_ranks (src/higherrank/form_factor_higher_ranks.f90) * tens_rec (src/interface/tens_rec.f90)
src/interface/tens_comb/contract1_1 [ Functions ]
NAME
Function contract1_1
USAGE
amp = contract1_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 1-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract1_2 [ Functions ]
NAME
Function contract1_2
USAGE
amp = contract1_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 1-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract1_2s1 [ Functions ]
NAME
Function contract1_2s1
USAGE
amp = contract1_2s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 1-point rank 2 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(complex(ki))
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract2_1 [ Functions ]
NAME
Function contract2_1
USAGE
amp = contract2_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 2-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract2_2 [ Functions ]
NAME
Function contract2_2
USAGE
amp = contract2_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 2-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract2_2s1 [ Functions ]
NAME
Function contract2_2s1
USAGE
amp = contract2_2s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 2-point rank 2 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(complex(ki))
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract2_3 [ Functions ]
NAME
Function contract2_3
USAGE
amp = contract2_3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 2-point rank 3 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract2_3s1 [ Functions ]
NAME
Function contract2_3s1
USAGE
amp = contract2_3s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 2-point rank 3 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_1 [ Functions ]
NAME
Function contract3_1
USAGE
amp = contract3_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_2 [ Functions ]
NAME
Function contract3_2
USAGE
amp = contract3_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_2s1 [ Functions ]
NAME
Function contract3_2s1
USAGE
amp = contract3_2s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 2 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(complex(ki))
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_3 [ Functions ]
NAME
Function contract3_3
USAGE
amp = contract3_3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 3 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_3s1 [ Functions ]
NAME
Function contract3_3s1
USAGE
amp = contract3_3s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 3 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_4 [ Functions ]
NAME
Function contract3_4
USAGE
amp = contract3_4(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 4 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_4s1 [ Functions ]
NAME
Function contract3_4s1
USAGE
amp = contract3_4s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 4 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract3_4s2 [ Functions ]
NAME
Function contract3_4s2
USAGE
amp = contract3_4s2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 3-point rank 4 tensor integral with (mu^2)^2 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_1 [ Functions ]
NAME
Function contract4_1
USAGE
amp = contract4_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_2 [ Functions ]
NAME
Function contract4_2
USAGE
amp = contract4_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_2s1 [ Functions ]
NAME
Function contract4_2s1
USAGE
amp = contract4_2s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 2 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(complex(ki))
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_3 [ Functions ]
NAME
Function contract4_3
USAGE
amp = contract4_3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 3 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_3s1 [ Functions ]
NAME
Function contract4_3s1
USAGE
amp = contract4_3s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 3 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_4 [ Functions ]
NAME
Function contract4_4
USAGE
amp = contract4_4(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 4 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_4s1 [ Functions ]
NAME
Function contract4_4s1
USAGE
amp = contract4_4s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 4 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_4s2 [ Functions ]
NAME
Function contract4_4s2
USAGE
amp = contract4_4s2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 4 tensor integral with (mu^2)^2 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_5 [ Functions ]
NAME
Function contract4_5
USAGE
amp = contract4_5(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 5 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_5s1 [ Functions ]
NAME
Function contract4_5s1
USAGE
amp = contract4_5s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 5 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract4_5s2 [ Functions ]
NAME
Function contract4_5s2
USAGE
amp = contract4_5s2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 4-point rank 5 tensor integral with (mu^2)^2 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_1 [ Functions ]
NAME
Function contract5_1
USAGE
amp = contract5_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_2 [ Functions ]
NAME
Function contract5_2
USAGE
amp = contract5_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_3 [ Functions ]
NAME
Function contract5_3
USAGE
amp = contract5_3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 3 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_4 [ Functions ]
NAME
Function contract5_4
USAGE
amp = contract5_4(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 4 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_5 [ Functions ]
NAME
Function contract5_5
USAGE
amp = contract5_5(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 5 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_6 [ Functions ]
NAME
Function contract5_6
USAGE
amp = contract5_6(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 6 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_6s1 [ Functions ]
NAME
Function contract5_6s1
USAGE
amp = contract5_6s1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 6 tensor integral with (mu^2)^1 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_6s2 [ Functions ]
NAME
Function contract5_6s2
USAGE
amp = contract5_6s2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 6 tensor integral with (mu^2)^2 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract5_6s3 [ Functions ]
NAME
Function contract5_6s3
USAGE
amp = contract5_6s3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 5-point rank 6 tensor integral with (mu^2)^3 in the numerator with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_1 [ Functions ]
NAME
Function contract6_1
USAGE
amp = contract6_1(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 1 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_2 [ Functions ]
NAME
Function contract6_2
USAGE
amp = contract6_2(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 2 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_3 [ Functions ]
NAME
Function contract6_3
USAGE
amp = contract6_3(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 3 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_4 [ Functions ]
NAME
Function contract6_4
USAGE
amp = contract6_4(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 4 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_5 [ Functions ]
NAME
Function contract6_5
USAGE
amp = contract6_5(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 5 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract6_6 [ Functions ]
NAME
Function contract6_6
USAGE
amp = contract6_6(coeffs, momenta, b_set)
DESCRIPTION
Contracts the 6-point rank 6 tensor integral with its coefficients.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer number (bit-set)
RETURN VALUE
The result of contracting the tensor integral with its coefficient.
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_1 [ Functions ]
NAME
Function contract_a_tensor_1
USAGE
ans = contract_a_tensor_1(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 1 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_1)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_2 [ Functions ]
NAME
Function contract_a_tensor_2
USAGE
ans = contract_a_tensor_2(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 2 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_3 [ Functions ]
NAME
Function contract_a_tensor_3
USAGE
ans = contract_a_tensor_3(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 3 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_4 [ Functions ]
NAME
Function contract_a_tensor_4
USAGE
ans = contract_a_tensor_4(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 4 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_5 [ Functions ]
NAME
Function contract_a_tensor_5
USAGE
ans = contract_a_tensor_5(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 5 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_a_tensor_6 [ Functions ]
NAME
Function contract_a_tensor_6
USAGE
ans = contract_a_tensor_6(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an A-type tensor of rank 6 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_b_tensor_2 [ Functions ]
NAME
Function contract_b_tensor_2
USAGE
ans = contract_b_tensor_2(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an B-type tensor of rank 2 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_2)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_b_tensor_3 [ Functions ]
NAME
Function contract_b_tensor_3
USAGE
ans = contract_b_tensor_3(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an B-type tensor of rank 3 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_3)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_b_tensor_4 [ Functions ]
NAME
Function contract_b_tensor_4
USAGE
ans = contract_b_tensor_4(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an B-type tensor of rank 4 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_b_tensor_5 [ Functions ]
NAME
Function contract_b_tensor_5
USAGE
ans = contract_b_tensor_5(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an B-type tensor of rank 5 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_b_tensor_6 [ Functions ]
NAME
Function contract_b_tensor_6
USAGE
ans = contract_b_tensor_6(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an B-type tensor of rank 6 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_c_tensor_4 [ Functions ]
NAME
Function contract_c_tensor_4
USAGE
ans = contract_c_tensor_4(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an C-type tensor of rank 4 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_4)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_c_tensor_5 [ Functions ]
NAME
Function contract_c_tensor_5
USAGE
ans = contract_c_tensor_5(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an C-type tensor of rank 5 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_5)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_c_tensor_6 [ Functions ]
NAME
Function contract_c_tensor_6
USAGE
ans = contract_c_tensor_6(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an C-type tensor of rank 6 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/contract_d_tensor_6 [ Functions ]
NAME
Function contract_d_tensor_6
USAGE
ans = contract_d_tensor_6(coeffs, momenta)
DESCRIPTION
Contracts the a set of coefficients with an D-type tensor of rank 6 constructed from a given set of momenta.
INPUTS
* coeffs -- coefficients of type(coeff_type_6)
* momenta -- real array of dimension(:,3) containing the
momenta r_i of the loop propagators
RETURN VALUE
The result of the contraction which is a complex number
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/evaluate_b [ Functions ]
NAME
Function evaluate_b Accessible through interface evaluate
USAGE
amp = evaluate(numeval, momenta, b_set, rank)
DESCRIPTION
Evaluates a diagram by first reconstructing its tensor coefficients and then contracting with the tensor integrals.
INPUTS
* numeval -- the numerator function
* momenta -- real array of dimension(:,0:3) containing the
momenta r_i of the loop propagators
* b_set -- the set of pinched propagators as integer (bit-set)
* rank -- optional integer, specifying the maximum rank of the diagram
If omitted, rank is assumed to be the equal to the number of
loop propagators.
RETURN VALUE
Value of the diagram as a type(form_factor)
SIDE EFFECTS
None
EXAMPLE
src/interface/tens_comb/evaluate_s [ Functions ]
NAME
Function evaluate_s Accessible through interface evaluate
USAGE
amp = evaluate(numeval, momenta, set, rank)
DESCRIPTION
Evaluates a diagram by first reconstructing its tensor coefficients and then contracting with the tensor integrals.
INPUTS
* numeval -- the numerator function
* momenta -- real array of dimension(:,0:3) containing the
momenta r_i of the loop propagators
* set -- the set of pinched propagators as integer array
* rank -- optional integer, specifying the maximum rank of the diagram
If omitted, rank is assumed to be the equal to the number of
loop propagators.
RETURN VALUE
Value of the diagram as a type(form_factor)
SIDE EFFECTS
None
EXAMPLE