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

F. Yuasa, T. Ishikawa, N. Hamaguchi, T. Koike, N. Nakasato
High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
Journal of Physics: Conference Series, Volume 454, conference 1, 012081, 2013

@inproceedings{yuasa2013acceleration,

   title={Acceleration of Feynman loop integrals in high-energy physics on many core GPUs},

   author={Yuasa, F and Ishikawa, T and Hamaguchi, N and Koike, T and Nakasato, N},

   booktitle={Journal of Physics: Conference Series},

   volume={454},

   number={1},

   pages={012081},

   year={2013},

   organization={IOP Publishing}

}

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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.
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