A recursive reduction of tensor Feynman integrals |
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Authors: | Th. Diakonidis J. Fleischer T. Riemann J.B. Tausk |
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Affiliation: | 1. Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, 15738 Zeuthen, Germany;2. Fakultät für Physik, Universität Bielefeld, Universitätsstr. 25, 33615 Bielefeld, Germany |
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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. |
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Keywords: | NLO computations QCD QED Feynman integrals |
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