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The seven-point two-loop full-color all-plus helicity Yang-Mills amplitude

Adam R. Dalgleish Orcid Logo, David Dunbar Orcid Logo, Warren Perkins Orcid Logo, Joseph M. W. Strong

Journal of High Energy Physics, Volume: 2025, Issue: 2

Swansea University Authors: David Dunbar Orcid Logo, Warren Perkins Orcid Logo

Abstract

The seven-gluon two-loop full-color Yang-Mills amplitude is presented in a compact analytic form where we use the methods of four-dimensional unitarity cuts to obtain the polylogarithmic pieces and augmented recursion to obtain the rational pieces. Furthermore, an $n$-point form for the full-color p...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2025
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa67779
Abstract: The seven-gluon two-loop full-color Yang-Mills amplitude is presented in a compact analytic form where we use the methods of four-dimensional unitarity cuts to obtain the polylogarithmic pieces and augmented recursion to obtain the rational pieces. Furthermore, an $n$-point form for the full-color polylogarithmic piece is presented. We use these results to probe for potential relations amongst the two-loop partial amplitudes.
Keywords: Scattering Amplitudes, Gauge Symmetry, Higher-Order Perturbative Calculations
College: Faculty of Science and Engineering
Issue: 2