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arXiv · 2409.15864

The Seven-Point Two-Loop Full-Color All-Plus Helicity Yang-Mills Amplitude

Adam R. Dalgleish·David C. Dunbar·Warren B. Perkins·Joseph M. W. Strong
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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.

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Adam R. Dalgleish, David C. Dunbar, Warren B. Perkins, Joseph M. W. Strong. 2024-09-24. The Seven-Point Two-Loop Full-Color All-Plus Helicity Yang-Mills Amplitude. https://arxiv.org/abs/2409.15864

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