Algorithms for numerically stable scattering amplitudes

Fuente: arXiv
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Autores principales: Bothmann, Enrico, Campbell, John M., Höche, Stefan, Knobbe, Max
Formato: Preprint
Publicado: 2024
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author Bothmann, Enrico
Campbell, John M.
Höche, Stefan
Knobbe, Max
author_facet Bothmann, Enrico
Campbell, John M.
Höche, Stefan
Knobbe, Max
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_07671
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Algorithms for numerically stable scattering amplitudes
Bothmann, Enrico
Campbell, John M.
Höche, Stefan
Knobbe, Max
High Energy Physics - Phenomenology
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.
title Algorithms for numerically stable scattering amplitudes
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2406.07671