Functional directed acyclical graphs for scattering amplitudes in perturbation theory

Thorsten Ohl (Institute of Theoretical Physics and Astrophysics, University of Würzburg, Emil-Hilb-Weg 22, Würzburg, 97074, Germany)

I describe a mathematical framework for the efficient processing of the very large sets of Feynman diagrams contributing to the scattering of many particles. I reexpress the established numerical methods for the recursive construction of scattering elements as operations on compact abstract data types. This allows efficient perturbative computations in arbitrary models, as long as they can be described by an effective, not necessarily local, Lagrangian.

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Published on:
18 July 2023
Publisher:
Springer
Published in:
European Physical Journal C , Volume 83 (2023)
Issue 7
Pages 1-12
DOI:
https://doi.org/10.1140/epjc/s10052-023-11787-2
arXiv:
2306.02414
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: