General Formula for N-point One-loop Feynman Integrals
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.
Cite
@article{arxiv.hep-ph/0210083,
title = {General Formula for N-point One-loop Feynman Integrals},
author = {Alfredo T. Suzuki and Esdras S. Santos and Alexandre G. M. Schmidt},
journal= {arXiv preprint arXiv:hep-ph/0210083},
year = {2007}
}
Comments
Latex, 36 pages, uses axodraw.sty. Version-2: misprints in the appendix corrected, reference added