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<p>We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, <i>n</i>-gluon, color-ordered subamplitudes in QCD, when all <i>n</i> gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies.</p>

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Rational QCD loop amplitudes and quantum theories on twistor space

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月25日

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  • Lance J. Dixon,
  • Anthony Morales

摘要

We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies.