English

Closed-Form Decomposition of One-Loop Massive Amplitudes

High Energy Physics - Phenomenology 2008-11-26 v1 High Energy Physics - Theory

Abstract

We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.

Keywords

Cite

@article{arxiv.0803.1989,
  title  = {Closed-Form Decomposition of One-Loop Massive Amplitudes},
  author = {Ruth Britto and Bo Feng and Pierpaolo Mastrolia},
  journal= {arXiv preprint arXiv:0803.1989},
  year   = {2008}
}

Comments

37 pages

R2 v1 2026-06-21T10:21:17.537Z