Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence

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dc.creatorYuasa, F.
dc.creatorde Doncker, E.
dc.creatorFujimoto, J.
dc.creatorHamaguchi, N.
dc.creatorIshikawa, T.
dc.creatorShimizu, Y.
dc.date2007-09-06
dc.date2007-09-19
dc.date.accessioned2026-07-07T12:13:43Z
dc.date.available2026-07-07T12:13:43Z
dc.descriptionWe present a new approach for obtaining very precise integration results for infrared vertex and box diagrams, where the integration is carried out directly without performing any analytic integration of Feynman parameters. Using an appropriate numerical integration routine with an extrapolation method, together with a multi-precision library, we have obtained integration results which agree with the analytic results to 10 digits even for such a very small photon mass as $10^{-150}$ GeV in the infrared vertex diagram.
dc.description10 pages, 2 figures, contribution to the proceedings of the ACAT workshop, Amsterdam, April 23-27, 2007
dc.identifierhttps://arxiv.org/abs/0709.0777
dc.identifierhttp://arxiv.org/abs/0709.0777
dc.identifierPoSACAT2007:087,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210944
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePrecise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence
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