A simple method for multi-leg loop calculations

Details A simple method for multi-leg loop calculations A simple method for multi-leg loop calculations

1996-07-15

arxiv.org/abs/hep-ph/9607309v2

Comput.Phys.Commun. 104 (1997) 23-36

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, latex file, uses axodraw.sty. The paper has been reorganized and the method extended in n dimensions

Scientific paper

10.1016/S0010-4655(97)00065-9

In this paper, I present a technique to simplify the tensorial reduction of one-loop integrals with arbitrary internal masses, but at least two massless external legs. By applying the method to rank l tensor integrals, one ends up with at most rank 1 tensor functions with the initial number of denominators, plus tensor integrals with less denominators and rank < l. To illustrate the algorithm, I explicitly compute diagrams contributing to processes of physical interest and show how the usual numerical instabilities due to the appearance of Gram determinants can be controlled.

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