A solution for tensor reduction of one-loop N-point functions with N >= 6

Details A solution for tensor reduction of one-loop N-point functions with N >= 6 A solution for tensor reduction of one-loop N-point functions with N >= 6

2011-11-24

arxiv.org/abs/1111.5821v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages

Scientific paper

Collisions at the LHC produce many-particle final states, and for precise predictions the one-loop $N$-point corrections are needed. We study here the tensor reduction for Feynman integrals with $N \ge 6$. A general, recursive solution by Binoth et al. expresses $N$-point Feynman integrals of rank $R$ in terms of $(N-1)$-point Feynman integrals of rank $(R-1)$ (for $N\ge 6$). We show that the coefficients can be obtained analytically from suitable representations of the metric tensor. Contractions of the tensor integrals with external momenta can be efficiently expressed as well. We consider our approach particularly well suited for automatization.

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