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All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams

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arxiv hep-ph/0209219 v1 pith:SLDSP567 submitted 2002-09-19 hep-ph

A. Ferroglia , G. Passarino , M. Passera , S. Uccirati This is my paper · ORCID
classification hep-ph
keywords diagramsfeynmanmulti-legnumericalone-loopalgorithmsall-purposeallowed
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A detailed investigation is presented of a set of algorithms which form the basis for a fast and reliable numerical integration of one-loop multi-leg (up to six) Feynman diagrams, with special attention to the behavior around (possibly) singular points in phase space. No particular restriction is imposed on kinematics, and complex masses (poles) are allowed.

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  1. Numerical computation of Fox functions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A numerical toolkit, based on Sinc methods plus contiguity shifts of lambda, is presented for evaluating multivariate Fox functions representing Feynman integrals.

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