A technique for loop calculations in non-Abelian gauge theories - with application to five gluon amplitude

TL;DR

This paper introduces a combined computational technique for non-Abelian gauge theories that simplifies loop calculations, demonstrated on five-gluon amplitudes, with potential applications to electroweak processes and higher-loop computations.

Contribution

It presents a novel combination of background field gauge, helicity basis, and color decomposition methods for efficient loop calculations in non-Abelian gauge theories.

Findings

Successfully reproduced one-loop five-gluon amplitudes in QCD

Applicable to electroweak processes

Extendable to two-loop calculations

Abstract

A powerful tool for calculations in non-Abelian gauge theories is obtained by combining the background field gauge, the helicity basis and the color decomposition methods. It has reproduced the one-loop calculation of the five-gluon amplitudes in QCD, is applicable to electroweak processes and extendable to two-loop calculations.