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Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail

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arxiv 2103.15423 v1 pith:Z5MBXO3K submitted 2021-03-29 hep-th

Jacob L. Bourjaily , Yang-Hui He , Andrew J. McLeod , Marcus Spradlin , Cristian Vergu , Matthias Volk , Matt von Hippel , Matthias Wilhelm This is my paper · ORCID
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keywords integrationdiagramsdirectmethodobstructionalgebraicalternativeamplitudes
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Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle diagrams. We review a variety of results by the authors in which this method, employed with some care, can compute diagrams of up to eight particles and four loops. We also highlight situations in which this method fails due to an algebraic obstruction. In a large number of cases the obstruction can be associated with a Calabi-Yau manifold.

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  1. Novel cluster-algebraic letters for 5- and 6-point QCD processes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.

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