General Formula for N-point One-loop Feynman Integrals

Details General Formula for N-point One-loop Feynman Integrals General Formula for N-point One-loop Feynman Integrals

2002-10-04

arxiv.org/abs/hep-ph/0210083v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 36 pages, uses axodraw.sty. Version-2: misprints in the appendix corrected, reference added

Scientific paper

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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