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<p>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 <i>n</i>-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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月26日

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

摘要

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.