English

On the tensor reduction of one-loop pentagons and hexagons

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals in different space-time dimensions. The reductions are expressed in a compact form in terms of signed minors, and have been implemented in a mathematica package called hexagon.m. We present several numerical examples.

Keywords

Cite

@article{arxiv.0807.2984,
  title  = {On the tensor reduction of one-loop pentagons and hexagons},
  author = {T. Diakonidis and J. Fleischer and J. Gluza and K. Kajda and T. Riemann and J. B. Tausk},
  journal= {arXiv preprint arXiv:0807.2984},
  year   = {2008}
}

Comments

Latex, 7 pages, 2 eps figures. Contribution to the proceedings of `Loops and Legs in Quantum Field Theory', April 2008, Sondershausen, Germany

R2 v1 2026-06-21T11:02:12.018Z