High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD

Abstract We investigate the high-energy fixed-angle scattering of pions and ρ-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler [1] to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptot...

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Bibliographic Details
Main Authors: Adi Armoni, Bartosz Pyszkowski, Shigeki Sugimoto, Dorin Weissman
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2025)221
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Summary:Abstract We investigate the high-energy fixed-angle scattering of pions and ρ-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler [1] to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptotically AdS space. We demonstrate that our generalisation of the Polchinski-Strassler proposal is necessary to describe ρ-meson scattering consistently with the Nambu-Goldstone boson equivalence theorem. Our results for pion and ρ-meson scattering amplitudes are in agreement with the constituent counting rule found in QCD. Moreover, our proposal for 2-to-2 scattering amplitudes provides a method for computing scattering angle dependence.
ISSN:1029-8479