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

A bstract 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 ca...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 5; pp. 26 - 17
Main Authors Henn, Johannes M., Lim, Jungwon, Torres Bobadilla, William J.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 03.05.2023
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Differential equations
Elementary Particles
Feynman diagrams
Higgs Production
High energy physics
Higher-Order Perturbative Calculations
Integrals
Kinematics
Ladder diagrams
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Higgs Production
Scattering Amplitudes
Higher-Order Perturbative Calculations
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2023)026