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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.11513 |
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| _version_ | 1866914158706950144 |
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| author | Cordoba, Rafael |
| author_facet | Cordoba, Rafael |
| contents | We implement the Gauge Theory Bootstrap (GTB) framework, initiated by He and Kruczenski in arXiv:2309.12402 and arXiv:2403.10772, using a discrete basis parametrization of the 2-to-2 pion scattering S-matrix, the spectral densities and the form factors. This approach enables a refined analysis of the convergence of the GTB and drastically reduced computational time --from approximately half an hour in arXiv:2403.10772 to under one minute in ours. The discrete basis also facilitates the evaluation of the S-matrix across the complex sheet resulting, in additional of the dominant $ρ(770)$ and $f_2(1270)$ resonances identified in arXiv:2403.10772, in the extraction of the $σ$ meson pole located far from the real axis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete Basis Parameterization for the Gauge Theory Bootstrap Cordoba, Rafael High Energy Physics - Theory We implement the Gauge Theory Bootstrap (GTB) framework, initiated by He and Kruczenski in arXiv:2309.12402 and arXiv:2403.10772, using a discrete basis parametrization of the 2-to-2 pion scattering S-matrix, the spectral densities and the form factors. This approach enables a refined analysis of the convergence of the GTB and drastically reduced computational time --from approximately half an hour in arXiv:2403.10772 to under one minute in ours. The discrete basis also facilitates the evaluation of the S-matrix across the complex sheet resulting, in additional of the dominant $ρ(770)$ and $f_2(1270)$ resonances identified in arXiv:2403.10772, in the extraction of the $σ$ meson pole located far from the real axis. |
| title | Discrete Basis Parameterization for the Gauge Theory Bootstrap |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.11513 |