MHV One-Loop Amplitudes in Yang-Mills from Generalised Unitarity

TL;DR

This paper uses generalized unitarity to compute the cut-constructible parts of one-loop gluon amplitudes in non-supersymmetric Yang-Mills theory, rederiving MHV amplitudes for various helicity configurations.

Contribution

It demonstrates a method to derive n-gluon MHV amplitudes using only 3- and 4-particle cuts, simplifying previous calculations.

Findings

Rederived n-gluon MHV amplitudes from cuts

Validated the use of generalized unitarity in non-supersymmetric theories

Provided explicit calculations for different helicity configurations

Abstract

In this letter, we exploit generalised unitarity in order to calculate the cut-constructible part of one-loop amplitudes in non-supersymmetric Yang-Mills theory. In particular, we rederive the n-gluon MHV amplitudes for both the adjacent and non-adjacent gluon helicity configurations from 3- and 4-particle cuts alone.