Year: 2007
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Yasui, Y., Ueda, T., de Doncker, E., Fujimoto, J., Hamaguchi, N., Ishikawa, T., Shimizu, Y., Yuasa, F.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2123780964