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Loop integration results using numerical extrapolation for a non-scalar integral

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arxiv hep-ph/0405098 v2 pith:M6JNDZHQ submitted 2004-05-12 hep-ph

E.de Doncker , Y.Shimizu , J.Fujimoto , F.Yuasa , K.Kaugars , L. Cucos , J. Van Voorst This is my paper · ORCID
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keywords integrationextrapolationloopresultsnon-scalarnumericalaccommodatebeen
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Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand which tends to zero. Results are given for a non-scalar four-point diagram. Extensions to accommodate loop integration by existing integration packages are also discussed. These include: using previously generated partitions of the domain and roundoff error guards.

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Cited by 1 Pith paper

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  1. Positive Integrands from Feynman Integrals in the Minkowski Regime

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A method for converting Minkowski-regime Feynman parameter integrals into sums of real, positive integrands with complex prefactors, eliminating contour deformation and speeding up numerical evaluation.

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