| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1833056 | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment | 2006 | 4 Pages |
Abstract
The control of the numerical precision of large-scale computations like those generated by the GRACE system for automatic Feynman diagram calculations has become an intrinsic part of those packages. Recently, Hitachi Ltd. has developed in FORTRAN a new library HMLIB for quadruple and octuple precision arithmetic where the number of lost-bits is made available. This library has been tested with success on the 1-loop radiative correction to e+e-→e+e-τ+τ-e+e-→e+e-τ+τ-. It is shown that the approach followed by HMLIB provides an efficient way to track down the source of numerical significance losses and to deliver high-precision results yet minimizing computing time.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Instrumentation
Authors
J. Fujimoto, N. Hamaguchi, T. Ishikawa, T. Kaneko, H. Morita, D. Perret-Gallix, A. Tokura, Y. Shimizu,