Algebraic reduction of one-loop Feynman graph amplitudes

Details Algebraic reduction of one-loop Feynman graph amplitudes Algebraic reduction of one-loop Feynman graph amplitudes

1999-07-13

arxiv.org/abs/hep-ph/9907327v2

Nucl.Phys.B566:423-440,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 1 figure, added references, expanded introduction, improved text

Scientific paper

10.1016/S0550-3213(99)00678-1

An algorithm for the reduction of one-loop n-point tensor integrals to basic integrals is proposed. We transform tensor integrals to scalar integrals with shifted dimension and reduce these by recurrence relations to integrals in generic dimension. Also the integration-by-parts method is used to reduce indices (powers of scalar propagators) of the scalar diagrams. The obtained recurrence relations for one-loop integrals are explicitly evaluated for 5- and 6-point functions. In the latter case the corresponding Gram determinant vanishes identically for d=4, which greatly simplifies the application of the recurrence relations.

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