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

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.

13 pages, 4 figures, 630 integrals

References in corpus (15)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Lectures on differential equations for Feynman integrals
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
• Cluster algebras for Feynman integrals
• Three-loop master integrals for ladder-box diagrams with one massive leg
• A Three-Point Form Factor Through Five Loops
• Folding Amplitudes into Form Factors: An Antipodal Duality
• An Operator Product Expansion for Form Factors
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• Notes on cluster algebras and some all-loop Feynman integrals
• Truncated cluster algebras and Feynman integrals with algebraic letters
• Planar three-loop master integrals for $2\to 2$ processes with one external massive particle
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Resummation methods for Master Integrals

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