Algorithms for numerically stable scattering amplitudes
arXiv:2406.07671
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.
5 pages, 1 figure, 2 pages of supplemental material with one additional figure