Author/Authors :
Fujimoto، نويسنده , , J. and Hamaguchi، نويسنده , , Florence N. and Ishikawa، نويسنده , , T. and Kaneko، نويسنده , , T. and Morita، نويسنده , , H. and Perret-Gallix، نويسنده , , D. and Tokura، نويسنده , , A. and Shimizu، نويسنده , , Y.، نويسنده ,
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 - . 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.
