Computation of loop integrals using extrapolation

DOI10.1016/j.cpc.2004.01.004zbMath1196.81014OpenAlexW2091293762MaRDI QIDQ709506

Junpei Fujimoto, Yoshimitsu Shimizu, Fukuko Yuasa, Elise De Doncker-Kapenga

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2004.01.004

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items

DISTRIBUTED ADAPTIVE MULTIVARIATE FUNCTION VISUALIZATION ⋮ Reduction schemes for one-loop tensor integrals ⋮ Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals ⋮ \texttt{OneLOop}: for the evaluation of one-loop scalar functions ⋮ Collider physics at the precision frontier ⋮ Numerical contour integration for loop integrals ⋮ Numerical computation of two-loop box diagrams with masses

Uses Software

• DCUHRE
• QUADPACK

Cites Work

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• A general extrapolation algorithm
• Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity
• The frontier of multi-loop Feynman diagrams: (Semi-) numerical techniques
• An Algorithm for a Generalization of the Richardson Extrapolation Process
• Some Properties of a Generalization of the Richardson Extrapolation Process
• An adaptive algorithm for the approximate calculation of multiple integrals
• Algorithm 698: DCUHRE
• On a Device for Computing the e m (S n ) Transformation
• An approach toward the numerical evaluation of multi-loop Feynman diagrams