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arXiv · 2406.07671

Algorithms for numerically stable scattering amplitudes

Enrico Bothmann·John M. Campbell·Stefan Höche·Max Knobbe
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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.

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Enrico Bothmann, John M. Campbell, Stefan Höche, Max Knobbe. 2024-06-11. Algorithms for numerically stable scattering amplitudes. https://arxiv.org/abs/2406.07671

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