کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
429580 687606 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quadpack computation of Feynman loop integrals
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Quadpack computation of Feynman loop integrals
چکیده انگلیسی

The paper addresses a numerical computation of Feynman loop integrals, which are computed by an extrapolation to the limit as a parameter in the integrand tends to zero. An important objective is to achieve an automatic computation which is effective for a wide range of instances. Singular or near singular integrand behavior is handled via an adaptive partitioning of the domain, implemented in an iterated/repeated multivariate integration method. Integrand singularities possibly introduced via infrared (IR) divergence at the boundaries of the integration domain are addressed using a version of the Dqags algorithm from the integration package Quadpack, which uses an adaptive strategy combined with extrapolation. The latter is justified for a large class of problems by the underlying asymptotic expansions of the integration error. For IR divergent problems, an extrapolation scheme is presented based on dimensional regularization.


► Feynman loop integrals computed by numerical integration and extrapolation.
► One-loop vertex, box, pentagon and two-loop ladder Feynman diagrams.
► Iterated multivariate integration using adaptive Quadpack algorithms Dqag and Dqags.
► Asymptotic expansions via dimensional regularization for infrared divergence.
► Extrapolation approach for hypergeometric functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Science - Volume 3, Issue 3, May 2012, Pages 102–112
نویسندگان
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