Acceleration of Feynman loop integrals in high-energy physics on many core GPUs

• Published in: Journal of physics. Conference series 2013-08, Vol.454 (1), p.12081-7
• Main Authors: Yuasa, F, Ishikawa, T, Hamaguchi, N, Koike, T, Nakasato, N
• Format: Article
• Language: English
• Subjects: Acceleration; Boards; Computation; Cross sections (physics); Extrapolation; High energy physics; Integrals; Mathematical analysis; Mathematical models; Numerical analysis; Numerical integration; Numerical methods; Parameters; Physics; Topology
• ISSN: 1742-6596; 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/454/1/012081

The current and future colliders in high-energy physics require theorists to carry out a large scale computation for a precise comparison between experimental results and theoretical ones. In a perturbative approach several methods to evaluate Feynman loop integrals which appear in the theoretical calculation of cross-sections are well established in the one-loop level, however, more studies are necessary for higher-order levels. Direct Computation Method (DCM) is developed to evaluate multi-loop integrals. DCM is based on a combination of multidimensional numerical integration and extrapolation on a sequence of integrals. It is a fully numerical method and is applicable to a wide class of integrals with various physics parameters. The computation time depends on physics parameters and the topology of loop diagrams and it becomes longer for the two-loop integrals. In this paper we present our approach to the acceleration of the two-loop integrals by DCM on multiple GPU boards.