A recursive reduction of tensor Feynman integrals |
| |
Authors: | Th Diakonidis J Fleischer T Riemann JB Tausk |
| |
Institution: | 1. Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, 15738 Zeuthen, Germany;2. Fakultät für Physik, Universität Bielefeld, Universitätsstr. 25, 33615 Bielefeld, Germany |
| |
Abstract: | 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. |
| |
Keywords: | NLO computations QCD QED Feynman integrals |
本文献已被 ScienceDirect 等数据库收录! |
|