First Results with a new Method for calculating 2-loop Box-Functions

Abstract

We describe a first attempt to calculate scalar 2-loop box-functions with arbitrary internal masses, applying a novel method proposed in hep-ph/9407234. Four of the eight integrals are accessible to integration by means of the residue theorem, leaving a rational function in the remaining variables. The result of the procedure is a three- or sometimes two-dimensional integral representation over a finite volume that can be further evaluated using numerical methods.