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

TL;DR

This paper introduces a specialized accelerator system, GRAPE9-MPX, designed for efficient multi-precision calculations in complex Feynman loop integrals, crucial for advanced quantum field theory research beyond the Standard Model.

Contribution

The paper presents the development and performance evaluation of a dedicated accelerator for multi-precision calculations applied to Feynman loop integrals.

Findings

Demonstrated effective performance on two-loop box diagrams

Successfully evaluated three-loop self-energy diagrams

Enhanced computational efficiency for multi-precision quantum calculations

Abstract

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 diagram with multi-loop integral which may require multi-precision calculation. We developed a dedicated accelerator system for multi-precision calculation (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.