A first look at two-loop five-gluon scattering in QCD

TL;DR

This paper presents the first detailed two-loop five-gluon scattering calculations in QCD, employing advanced unitarity and numerical techniques to provide benchmark results for all helicity configurations.

Contribution

It introduces a novel combination of d-dimensional unitarity, finite field reconstruction, and sector decomposition to compute complex two-loop scattering amplitudes in QCD.

Findings

First benchmark results for two-loop five-gluon scattering in QCD.

Numerical evaluation of all helicity configurations achieved.

Demonstrates the effectiveness of advanced computational techniques in high-order QCD calculations.

Abstract

We compute the leading colour contributions to five-gluon scattering at two loops in massless QCD. The integrands of all independent helicity amplitudes are evaluated using d-dimensional generalised unitarity cuts and finite field reconstruction techniques. Numerical evaluation of the integral basis is performed with sector decomposition methods to obtain the first benchmark results for all helicity configurations of a 2 to 3 scattering process in QCD.