A general reduction method for one-loop N-point integrals

Abstract

In order to calculate cross sections with a large number of particles/jets in the final state at next-to-leading order, one has to reduce the occurring scalar and tensor one-loop integrals to a small set of known integrals. In massless theories, this reduction procedure is complicated by the presence of infrared divergences. Working in n=4-2*epsilon dimensions, it will be outlined how to achieve such a reduction for diagrams with an arbitrary number of external legs. As a result, any integral with more than four propagators and generic 4-dimensional external momenta can be reduced to box integrals.

Comments: 5 pages Latex, 1 eps figure included, uses npb.sty (included). Talk presented at the conference: Loops and Legs in Quantum Field Theory, April 2000, Bastei, Germany