English

Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions

High Energy Physics - Phenomenology 2015-06-17 v1

Abstract

In this article we provide representations for the one-loop three point functions in 4 and 6 dimensions in the general case with complex masses. The latter are part of the GOLEM library used for the computation of one-loop multileg amplitudes. These representations are one-dimensional integrals designed to be free of instabilites induced by inverse powers of Gram determinants, therefore suitable for stable numerical implementations.

Keywords

Cite

@article{arxiv.1310.4397,
  title  = {Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions},
  author = {J. Ph. Guillet and E. Pilon and M. Rodgers and M. S. Zidi},
  journal= {arXiv preprint arXiv:1310.4397},
  year   = {2015}
}

Comments

40 pages, 1 figure

R2 v1 2026-06-22T01:48:12.636Z