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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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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author Adi Armoni
Bartosz Pyszkowski
Shigeki Sugimoto
Dorin Weissman
author_facet Adi Armoni
Bartosz Pyszkowski
Shigeki Sugimoto
Dorin Weissman
author_sort Adi Armoni
collection DOAJ
description 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.
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institution Kabale University
issn 1029-8479
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record_format Article
series Journal of High Energy Physics
spelling doaj-art-ce57bcfcb99347029ffe067abe72223a2025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512710.1007/JHEP05(2025)221High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCDAdi Armoni0Bartosz Pyszkowski1Shigeki Sugimoto2Dorin Weissman3Department of Physics, Swansea UniversityDepartment of Physics, Kyoto UniversityDepartment of Physics, Kyoto UniversityAsia Pacific Center for Theoretical PhysicsAbstract 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.https://doi.org/10.1007/JHEP05(2025)221AdS-CFT CorrespondenceGauge-Gravity CorrespondenceScattering Amplitudes
spellingShingle Adi Armoni
Bartosz Pyszkowski
Shigeki Sugimoto
Dorin Weissman
High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Scattering Amplitudes
title High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
title_full High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
title_fullStr High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
title_full_unstemmed High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
title_short High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
title_sort high energy fixed angle meson scattering and the constituent counting rule in holographic qcd
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
Scattering Amplitudes
url https://doi.org/10.1007/JHEP05(2025)221
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AT bartoszpyszkowski highenergyfixedanglemesonscatteringandtheconstituentcountingruleinholographicqcd
AT shigekisugimoto highenergyfixedanglemesonscatteringandtheconstituentcountingruleinholographicqcd
AT dorinweissman highenergyfixedanglemesonscatteringandtheconstituentcountingruleinholographicqcd