Five-Parton Scattering in QCD at Two Loops

TL;DR

This paper presents a comprehensive calculation of all helicity amplitudes for five-parton scattering in two-loop QCD, providing essential data for advanced theoretical investigations in particle physics.

Contribution

It introduces a complete set of two-loop five-parton helicity amplitudes in QCD, including all flavor and color configurations, using tensor projection and pentagon functions.

Findings

Analytic expressions for all helicity amplitudes obtained

Results facilitate studies of collinear-factorization breaking

Provides numerically efficient amplitude evaluations

Abstract

We compute all helicity amplitudes for the scattering of five partons in two-loop QCD in all the relevant flavor configurations, retaining all contributing color structures. We employ tensor projection to obtain helicity amplitudes in the 't Hooft-Veltman scheme starting from a set of primitive amplitudes. Our analytic results are expressed in terms of massless pentagon functions, and are easy to evaluate numerically. These amplitudes provide important input to investigations of collinear-factorization breaking and to studies of the multi-Regge kinematics regime.