2011/10/17 by Elise de Doncker, J. Fujimoto, Junpei Fujimoto +18 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Iterative Methods for Nonlinear Equations #Numerical methods in inverse problems #Radiative Heat Transfer Studies #hep-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1110.3587
11 pages, 1 figure, 6 tables, Talk given at 3rd Computational Particle Physics Workshop CPP2010, September 23-25, 2010, KEK Japan
arxiv created 2011/10/17 · openalex publication_date 2011/10/17 · arxiv updated 2011/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper describes applications of extrapolation for the computation of coefficients in an expansion of infrared divergent integrals. An extrapolation procedure is performed with respect to a parameter introduced by dimensional regularization. While this treats typical IR singularities at the boundaries of the integration domain, special care needs to be taken in cases where the integrand is singular in the interior of the domain as well as on the boundaries. A double extrapolation is devised for a class of massless vertex integrals. Quadruple precision results are presented, demonstrating high accuracy. The computations are supported by the use of general adaptive integration programs from the QUADPACK package, in iterated integrations with highly singular integrand functions.