Algorithms for numerically stable scattering amplitudes
High Energy Physics - Phenomenology
2024-10-04 v2
Abstract
The numerically stable evaluation of scattering matrix elements near the infrared limit of gauge theories is of great importance for the success of collider physics experiments. We present a novel algorithm that utilizes double precision arithmetic and reaches higher precision than a naive quadruple precision implementation at smaller computational cost. The method is based on physics-driven modifications to propagators, vertices and external polarizations.
Cite
@article{arxiv.2406.07671,
title = {Algorithms for numerically stable scattering amplitudes},
author = {Enrico Bothmann and John M. Campbell and Stefan Höche and Max Knobbe},
journal= {arXiv preprint arXiv:2406.07671},
year = {2024}
}
Comments
5 pages, 1 figure, 2 pages of supplemental material with one additional figure