Hlavná stránka > Probing multi-particle unitarity with the Landau equations |
Article | |
Report number | arXiv:2111.12100 ; CERN-TH-2021-197 |
Title | Probing multi-particle unitarity with the Landau equations |
Author(s) | Correia, Miguel (CERN ; EPFL, Lausanne, FSL) ; Sever, Amit (Tel Aviv U.) ; Zhiboedov, Alexander (CERN) |
Publication | 2022-09-22 |
Imprint | 2021-11-23 |
Number of pages | 19 |
In: | SciPost Phys. 13 (2022) 062 |
DOI | 10.21468/SciPostPhys.13.3.062 (publication) |
Subject category | hep-th ; Particle Physics - Theory |
Abstract | We consider the $2\to 2$ scattering amplitude of identical massive particles. We identify the Landau curves in the multi-particle region $16m^2 \leq s, t < 36m^2$. We systematically generate and select the relevant graphs and numerically solve the associated Landau equations for the leading singularity. We find an infinite sequence of Landau curves that accumulates at finite $s$ and $t$ on the physical sheet. We expect that such accumulations are generic for $s,t > 16m^2$. Our analysis sheds new light on the complicated analytic structure of nonperturbative relativistic scattering amplitudes. |
Copyright/License | preprint: (License: CC BY 4.0) publication: © 2022-2024 M. Correia et al. (License: CC-BY-4.0) |