Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity

TL;DR

This paper introduces a method using generalized unitarity cuts in D dimensions to efficiently compute complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory, including rational and cut-constructible parts.

Contribution

It presents a novel approach that naturally generates rational terms and simplifies the calculation of one-loop amplitudes in Yang-Mills theory.

Findings

Successfully re-derived known gluon scattering amplitudes.

Validated the method with multiple cut configurations.

Demonstrated efficiency in calculating complete one-loop amplitudes.

Abstract

We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be used to calculate efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory. This approach naturally generates the rational terms in the amplitudes, as well as the cut-constructible parts. We test the validity of our method by re-deriving the one-loop ++++, -+++, --++, -+-+ and +++++ gluon scattering amplitudes using generalised quadruple cuts and triple cuts in D dimensions.