Computation of Feynman loop integrals

We address multivariate integration and extrapolation techniques for the computation of Feynman loop integrals. Loop integrals are required for perturbation calculations in high energy physics, as they contribute corrections to the scattering amplitude and the cross section for the collision of elem...

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Veröffentlicht in:Proceedings in applied mathematics and mechanics 2007-12, Vol.7 (1), p.1022503-1022504
Hauptverfasser: de Doncker, Elise, Shimizu, Yoshimitzu, Fujimoto, Junpei, Yuasa, Fukuko
Format: Artikel
Sprache:eng
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Zusammenfassung:We address multivariate integration and extrapolation techniques for the computation of Feynman loop integrals. Loop integrals are required for perturbation calculations in high energy physics, as they contribute corrections to the scattering amplitude and the cross section for the collision of elementary particles. We use iterated integration to calculate the multivariate integrals. The combined integration and extrapolation methods aim for an automatic calculation, where little or no analytic manipulation is required before the numeric approximation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.200701085