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Computation of Feynman loop integrals
Author(s) -
de Doncker Elise,
Shimizu Yoshimitzu,
Fujimoto Junpei,
Yuasa Fukuko
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701085
Subject(s) - extrapolation , feynman diagram , computation , feynman integral , loop (graph theory) , order of integration (calculus) , numerical integration , multivariate statistics , iterated function , slater integrals , amplitude , scattering amplitude , perturbation theory (quantum mechanics) , mathematics , physics , mathematical physics , mathematical analysis , algorithm , quantum mechanics , combinatorics , statistics
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)