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Expansion by regions: an overview

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arxiv 2406.11475 v1 pith:5ZQYUMSV submitted 2024-06-17 hep-th hep-ph

Vladimir A. Smirnov This is my paper · ORCID
classification hep-thhep-ph
keywords expansiongivenregionssimplestrategycertainexamplesfeynman
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A short review of expansion by regions is presented. It is a well-known strategy to obtain an expansion of a given multiloop Feynman integral in a given limit where some kinematic invariants and/or masses have certain scaling measured in powers of a given small parameter. Prescriptions of this strategy are formulated in a simple geometrical language and are illustrated through simple examples.

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  1. Off-shell form factor: factorization is violated

    hep-th 2025-05 conditional novelty 7.0 of 10

    At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.

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