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

High Energy Physics - Phenomenology 2025-01-14 v3

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 nn-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

Cite

@article{arxiv.2409.15864,
  title  = {The Seven-Point Two-Loop Full-Color All-Plus Helicity Yang-Mills Amplitude},
  author = {Adam R. Dalgleish and David C. Dunbar and Warren B. Perkins and Joseph M. W. Strong},
  journal= {arXiv preprint arXiv:2409.15864},
  year   = {2025}
}

Comments

two attached Mathematica files. v2 small correction to Table 1 and additional citations added