We discuss a new approach for the numerical evaluation of loop integrals. The fully numerical calculations of an infrared one-loop vertex and a box diagram are demonstrated. To perform these calculations, we apply an extrapolation method based on the ϵ-algorithm. In our approach, the super high precision control in the numerical manipulation is essential to handle the infrared singularity. We adopt a multi-precision library named {\tt HMLib} for the precision control in the calculations.
@article{arxiv.0710.2957,
title = {Status reports from the GRACE Group},
author = {Y. Yasui and T. Ueda and E. de Doncker and J. Fujimoto and N. Hamaguchi and T. Ishikawa and Y. Shimizu and F. Yuasa},
journal= {arXiv preprint arXiv:0710.2957},
year = {2009}
}
Comments
6 pages, 3 figures, Proceedings for the International Workshop LCWS/ILC 2007, DESY in Hamburg, Germany, between May 30, 2007, and June 3, 2007