Abstract
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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Acknowledgments
We thank Simone Zoia for useful discussions. This research received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 725110), Novel structures in scattering amplitudes, and the Excellence Cluster ORIGINS funded by the Deutsche Forschungsge- meinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2094-390783311.
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Henn, J.M., Lim, J. & Torres Bobadilla, W.J. First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production. J. High Energ. Phys. 2023, 26 (2023). https://doi.org/10.1007/JHEP05(2023)026
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DOI: https://doi.org/10.1007/JHEP05(2023)026