First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production

Johannes M. Henn; Jungwon Lim; William J. Torres Bobadilla

First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production

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arxiv 2302.12776 v1 pith:JXEX5LDJ submitted 2023-02-24 hep-th hep-ph

First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production

Johannes M. Henn , Jungwon Lim , William J. Torres Bobadilla This is my paper

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keywords non-planarfeynmanfindfirsthiggsintegralsplusproduction

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We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals. The results are expressed in terms of generalised polylogarithms up to transcendental weight six. We also provide the full canonical differential equations, which allows us to make structural observations on the answer. In particular, we find a counterexample to previously conjectured adjacency relations, for a planar integral of the tennis-court type. Additionally, for a non-planar triple ladder diagram, we find two novel alphabet letters. This information may be useful for future bootstrap approaches.

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