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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2412.17784 |
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| _version_ | 1866912410156138496 |
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| author | Armoni, Adi Pyszkowski, Bartosz Sugimoto, Shigeki Weissman, Dorin |
| author_facet | Armoni, Adi Pyszkowski, Bartosz Sugimoto, Shigeki Weissman, Dorin |
| contents | 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 arXiv:hep-th/0109174 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17784 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD Armoni, Adi Pyszkowski, Bartosz Sugimoto, Shigeki Weissman, Dorin High Energy Physics - Theory High Energy Physics - Phenomenology 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 arXiv:hep-th/0109174 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. |
| title | High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.17784 |