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Probing multi-particle unitarity with the Landau equations

by Miguel Correia, Amit Sever, Alexander Zhiboedov

Submission summary

As Contributors: Miguel Correia
Arxiv Link: https://arxiv.org/abs/2111.12100v1 (pdf)
Date submitted: 2022-01-06 21:51
Submitted by: Correia, Miguel
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approaches: Theoretical, Computational

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.

Current status:
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Submission 2111.12100v1 on 6 January 2022

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