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General Formula for N-point One-loop Feynman Integrals

Alfredo T. Suzuki·Esdras S. Santos·Alexandre G. M. Schmidt
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Abstract

The negative dimensional integration method (NDIM) is a technique where several difficulties concerning loop integration can be overcome. From usual covariant gauges to complicated Coulomb gauge integrals, and even the trickiest light-cone integrals one can apply the methodology of NDIM. In this work we show how to construct a general formula -- we mean arbitrary exponents of propagators, off-shell external momenta and distinct massive propagators -- for one-loop scalar integrals, for {\it covariant} gauges, and apply it to one through six-point loop integrals. We present detailed analysis of pentagon and hexagon scalar integrals for massive/massless internal particles being external momenta on or off mass shell.

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Alfredo T. Suzuki, Esdras S. Santos, Alexandre G. M. Schmidt. 2002-10-10. General Formula for N-point One-loop Feynman Integrals. https://arxiv.org/abs/hep-ph/0210083

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