Speaker
Dr
Shinji Motoki
(High Energy Accelerator Research Organization)
Description
With the discovery of Higgs particle in CERN Large Hadron Collider,precision measurements are expected in future International Linear Collider to explore new physics beyond Standard Model. In tandem with experiments, an accurate theoretical prediction is required.To meet such a request, higher order correction in perturbative quantum field theory becomes more and more important and the method to evaluate multi-loop integrals precisely should be provided. We have been developing DCM(Direct Computation Method) for loop integrals and it is a fully numerical method in the combination of multi-dimensional integration and the extrapolation technique. In multi-dimensional integration we encounter cases where the double precision operation is not enough due to loss of significances or trailing digits. For example, diagrams with infrared divergence or several greatly different masses in loops fit the cases. We present a hardware accelerator, GRAPE9-MPX, which is based on GRAPE technique originally developed for gravitational N-body simulations. GRAPE-9 consists of FPGA boards in which a lot of processor elements are implemented. Each processor element has the dedicated logic for quadruple, hexuple and octuple precision arithmetic operation, and enables us high-speed computations in an SIMD way. We describe the design of GRAPE9-MPX and show some performance results taking the multi-precision computation of multi-loop integrals as examples.
Primary author
Dr
Shinji Motoki
(High Energy Accelerator Research Organization)
Co-authors
Dr
Atsushi Kawai
(K & F Computing Research)
Prof.
Fukuko Yuasa
(High Energy Accelerator Research Organization)
Prof.
Hiroshi Daisaka
(Hitotsubashi University)
Prof.
Jun'ichiro Makino
(RIKEN Advanced Institute for Computational Science)
Prof.
Naohito Nakasato
(University of Aizu)
Prof.
Tadashi Ishikawa
(High Energy Accelerator Research Organization)
Dr
Toshiyuki Fukushige
(K & F Computing Research)
