Algorithms for numerically stable scattering amplitudes
Enrico Bothmann, John M. Campbell, Stefan H\"oche, Max Knobbe
TL;DR
This paper introduces a new algorithm for numerically stable calculation of scattering amplitudes near infrared limits, achieving higher precision efficiently by physics-informed modifications.
Contribution
The novel algorithm improves numerical stability and precision in scattering amplitude calculations using double precision with physics-based modifications.
Findings
Achieves higher precision than naive quadruple precision methods
Reduces computational cost compared to existing high-precision approaches
Enhances reliability of collider physics simulations
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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