A development of an accelerator board dedicated for multi-precision arithmetic operations and its application to Feynman loop integrals

S. Motoki, Hiroshi Daisaka, Naohito Nakasato, T. Ishikawa, Fukuko Yuasa, Toshiyuki Fukushige, Akira Kawai, Junichiro Makino · Journal of Physics Conference Series · 2015

Higher order corrections in perturbative quantum field theory are required for precise theoretical analysis to investigate new physics beyond the Standard Model. This indicates that we need to evaluate Feynman loop diagrams with multi-loop integrals which may require multi-precision calculation. We developed a dedicated accelerator system for multiprecision calculations (GRAPE9-MPX). We present performance results of our system for the case of Feynman two-loop box and three-loop selfenergy diagrams with multi-precision.

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