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arXiv · hep-ph/9911342

Reduction formalism for dimensionally regulated one-loop N-point integrals

T. Binoth·J. Ph. Guillet·G. Heinrich
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Abstract

We consider one-loop scalar and tensor integrals with an arbitrary number of external legs relevant for multi-parton processes in massless theories. We present a procedure to reduce N-point scalar functions with generic 4-dimensional external momenta to box integrals in (4-2ε) dimensions. We derive a formula valid for arbitrary N and give an explicit expression for N=6. Further a tensor reduction method for N-point tensor integrals is presented. We prove that generically higher dimensional integrals contribute only to order εfor N>=5. The tensor reduction can be solved iteratively such that any tensor integral is expressible in terms of scalar integrals. Explicit formulas are given up to N=6.

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T. Binoth, J. Ph. Guillet, G. Heinrich. 1999-11-13. Reduction formalism for dimensionally regulated one-loop N-point integrals. https://doi.org/10.1016/s0550-3213(00)00040-7

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