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  • Letter
  • Open Access

Algorithms for numerically stable scattering amplitudes

Enrico Bothmann1, John M. Campbell2, Stefan Höche2, and Max Knobbe1

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Phys. Rev. D 110, L071501 – Published 23 October, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L071501

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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Information

Phys. Rev. D 110, L071501– Published 23 October, 2024
  • Received 13 June 2024
  • Accepted 11 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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