Probing multi-particle unitarity with the Landau equations

Correia, Miguel; Sever, Amit; Zhiboedov, Alexander

doi:10.21468/SciPostPhys.13.3.062

SciPost Physics

Probing multi-particle unitarity with the Landau equations

Miguel Correia, Amit Sever, Alexander Zhiboedov

SciPost Phys. 13, 062 (2022) · published 22 September 2022

doi: 10.21468/SciPostPhys.13.3.062
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.3.062
TI  - Probing multi-particle unitarity with the Landau equations
PY  - 2022/09/22
UR  - https://scipost.org/SciPostPhys.13.3.062
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 3
SP  - 062
A1  - Correia, Miguel
AU  - Sever, Amit
AU  - Zhiboedov, Alexander
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.3.062,
	title={{Probing multi-particle unitarity with the Landau equations}},
	author={Miguel Correia and Amit Sever and Alexander Zhiboedov},
	journal={SciPost Phys.},
	volume={13},
	pages={062},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.3.062},
	url={https://scipost.org/10.21468/SciPostPhys.13.3.062},
}

Cited by 14

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¹ ² Miguel Correia,
³ Amit Sever,
¹ Alexander Zhiboedov

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