Yang-Mills All-Plus: Two Loops for the Price of One
David A. Kosower, Sebastian P\"ogel

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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Particle Accelerators and Free-Electron Lasers
