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Probing multi-particle unitarity with the Landau equations
by Miguel Correia, Amit Sever, Alexander Zhiboedov
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Submission summary
| Authors (as registered SciPost users): | Miguel Correia |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202207_00004v1 (pdf) |
| Date accepted: | 2022-07-29 |
| Date submitted: | 2022-07-04 21:40 |
| Submitted by: | Correia, Miguel |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 13, 062 (2022)
Reports on this Submission
Report
I would like to clarify that, in the second and third requests of the previous report, what I meant for "states with a mass larger than 2m" and "heavier states" was "bound states". On the other hand, thanks to the parallel report, the authors addressed all the points in the revisited version.
Report #1 by Francesco Riva (Referee 3) on 2022-7-8 (Invited Report)
Report
I thank the authors for having carefully addresses all the points in the previous report.