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

16th International workshop on Advanced Computing and Analysis Techniques in physics research

物理学;计算机科学

Motoki, S.^1 ; Daisaka, H.^2 ; Nakasato, N.^3 ; Ishikawa, T.^1 ; Yuasa, F.^1 ; Fukushige, T.^4 ; Kawai, A.^4 ; Makino, J.^5

High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki

305-0801, Japan^1

Hitotsubashi University, 2-1 Naka, Tokyo, Kunitachi

186-0801, Japan^2

University of Aizu, Aizu-wakamatsu, Fukushima

965-8580, Japan^3

KandF Computing Research Co., 1-21-6-407 Kojimacho, Chofu, Tokyo

182-0026, Japan^4

RIKEN Advanced Institute for Computational Science, 7-1-26 Minatojima-minami-machi, huo-ku, Hyogo, Kobe

650-0047, Japan^5

关键词: Accelerator boards;    Accelerator system;    Feynman loop diagrams;    Feynman loop integrals;    ITS applications;    Multi precision arithmetic;    Quantum field theory;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/608/1/012011/pdf
DOI  :  10.1088/1742-6596/608/1/012011

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.