Preprint

PUBDB-2023-00555

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exploring Inelasticity in the S-Matrix Bootstrap

Leite Antunes, A. (Corresponding author)DESY* ; Costa, M. ; Pereira, J.

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-00555

Report No.: DESY-23-015; arXiv:2301.13219

Abstract: The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in $d>2$ because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup.

Keyword(s): unitarity, constraint ; bootstrap ; S-matrix ; duality ; scattering amplitude ; analytic properties ; nonperturbative ; crossing

Note: 8 pages, 14 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Leite Antunes, A. (Corresponding author)DESY* ; Costa, M. ; Pereira, J.
Exploring Inelasticity in the S-Matrix Bootstrap
Physics letters / B 846, 138225 (2023) [10.1016/j.physletb.2023.138225]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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