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<p>A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a <i>G</i><sub>2</sub> cluster algebra, enlarging the <i>C</i><sub>2</sub> cluster algebra found to cover all previously known integrals relevant for this process. The cluster algebra connection we find reveals new adjacency relations, which significantly reduce the function space dimension of the non-planar triple ladder integral. These adjacencies may be understood in part by embedding <i>G</i><sub>2</sub> inside higher-rank cluster algebras.</p>

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An exceptional cluster algebra for Higgs plus jet production

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月31日

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  • Rigers Aliaj,
  • Georgios Papathanasiou

摘要

A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G2 cluster algebra, enlarging the C2 cluster algebra found to cover all previously known integrals relevant for this process. The cluster algebra connection we find reveals new adjacency relations, which significantly reduce the function space dimension of the non-planar triple ladder integral. These adjacencies may be understood in part by embedding G2 inside higher-rank cluster algebras.