English

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

High Energy Physics - Phenomenology 2010-04-06 v1

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 (4-2\epsilon) 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 \epsilon for 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.

Keywords

Cite

@article{arxiv.hep-ph/9911342,
  title  = {Reduction formalism for dimensionally regulated one-loop N-point integrals},
  author = {T. Binoth and J. Ph. Guillet and G. Heinrich},
  journal= {arXiv preprint arXiv:hep-ph/9911342},
  year   = {2010}
}

Comments

21 pages Latex, 1 eps figure