Yang-Mills All-Plus: Two Loops for the Price of One

TL;DR

This paper introduces a method to efficiently compute two-loop all-plus helicity amplitudes in pure Yang-Mills theory by leveraging one-loop unitarity techniques to obtain their rational parts.

Contribution

It presents a novel approach to derive two-loop amplitudes' rational terms using only one-loop unitarity methods, simplifying complex calculations.

Findings

Successfully computed two-loop all-plus helicity amplitudes.

Demonstrated the effectiveness of one-loop unitarity techniques for two-loop rational terms.

Provided insights into the structure of Yang-Mills amplitudes at two loops.

Abstract

We present work on two-loop amplitudes in pure Yang-Mills theory with all gluons of identical helicity. We show how to obtain their rational terms -- the hardest parts to compute -- via well-understood one-loop unitarity techniques.