Giuseppe De Laurentis
Analytical amplitudes from numerical solutions of the scattering equations
De Laurentis, Giuseppe
Authors
Abstract
The CHY formalism for massless scattering provides a cohesive framework for the computation of scattering amplitudes in a variety of theories. It is especially compelling because it elucidates existing relations among theories which are seemingly unrelated in a standard Lagrangian formulation. However, it entails operations that are highly non-trivial to perform analytically, most notably solving the scattering equations. We present a new Python package (seampy1) to solve the scattering equations and to compute scattering amplitudes. Both operations are done numerically with high-precision floating-point algebra. Elimination theory is used to obtain solutions to the scattering equations for arbitrary kinematics. These solutions are then applied to a variety of CHY integrands to obtain tree amplitudes for the following theories: Yang-Mills, Einstein gravity, biadjoint scalar, Born-Infeld, non-linear sigma model, Galileon, conformal gravity and (DF)2. Finally, we exploit this high-precision numerical implementation to explore the singularity structure of the amplitudes and to reconstruct analytical expressions which make manifest their pole structure. Some of the expressions for conformal gravity and the (DF)2 gauge theory are new to the best of our knowledge.
Citation
De Laurentis, G. (2020). Analytical amplitudes from numerical solutions of the scattering equations. Journal of High Energy Physics, 2020(2), Article 194. https://doi.org/10.1007/jhep02%282020%29194
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 24, 2020 |
Online Publication Date | Feb 28, 2020 |
Publication Date | Feb 29, 2020 |
Deposit Date | Mar 18, 2020 |
Publicly Available Date | Mar 18, 2020 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2020 |
Issue | 2 |
Article Number | 194 |
DOI | https://doi.org/10.1007/jhep02%282020%29194 |
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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