# A recursive reduction of tensor Feynman integrals - High Energy Physics - Phenomenology

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Abstract: We perform a recursive reduction of one-loop $n$-point rank $R$ tensorFeynman integrals in short: $n,R$-integrals for $n\leq 6$ with $R\leq n$ byrepresenting $n,R$-integrals in terms of $n,R-1$- and$n-1,R-1$-integrals. We use the known representation of tensor integrals interms of scalar integrals in higher dimension, which are then reduced byrecurrence relations to integrals in generic dimension. With a systematicapplication of metric tensor representations in terms of chords, and bydecomposing and recombining these representations, we find the recursivereduction for the tensors. The procedure represents a compact, sequentialalgorithm for numerical evaluations of tensor Feynman integrals appearing innext-to-leading order contributions to massless and massive three- and four-particle production at LHC and ILC, as well as at meson factories.

Author: ** T. Diakonidis, J. Fleischer, T. Riemann, J. B. Tausk**

Source: https://arxiv.org/