PUB - Publikationen an der Universität Bielefeld

We perform a new, recursive reduction of one-loop n-point rank R tensor Feynman integrals [in short: (n, R)-integrals] for n <= 6 with R <= n by representing (n, R)-integrals in terms of (n, R - 1)- and (n - 1, R - 1)-integrals. We use the known representation of tensor integrals in terms of scalar integrals in higher dimension, which are then reduced by recurrence relations to integrals in generic dimension. With a systematic application of metric tensor representations in terms of chords. and by decomposing and recombining these representations, a recursive reduction for the tensors is found. The procedure represents a compact, sequential algorithm for numerical evaluations of tensor Feynman integrals appearing in next-to-leading order contributions to massless and massive three- and four-particle production at LHC and ILC, as well as at meson factories. (C) 2009 Elsevier B.V. All rights reserved.