Assessing the role of threshold conditions in the determination of uncertainties in pole extractions using Padé approximants
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910117971099648 |
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| author | Duch, Balma Masjuan, Pere |
| author_facet | Duch, Balma Masjuan, Pere |
| contents | In this letter, we discuss the determination of the $f_0(500)$ resonance by analytic continuation through Padé approximants of the $ππ$-scattering amplitude from the physical region to the pole in the complex energy plane. Using as input a class of admissible parametrizations of the scalar-isoscalar $ππ$ partial wave and imposing now the correct threshold behavior of the partial amplitude, we improve on the determinations of pole positions obtained in Ref. [1], thus empowering the Padé method as a simple and precise tool for extracting resonance poles from amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Assessing the role of threshold conditions in the determination of uncertainties in pole extractions using Padé approximants Duch, Balma Masjuan, Pere High Energy Physics - Phenomenology In this letter, we discuss the determination of the $f_0(500)$ resonance by analytic continuation through Padé approximants of the $ππ$-scattering amplitude from the physical region to the pole in the complex energy plane. Using as input a class of admissible parametrizations of the scalar-isoscalar $ππ$ partial wave and imposing now the correct threshold behavior of the partial amplitude, we improve on the determinations of pole positions obtained in Ref. [1], thus empowering the Padé method as a simple and precise tool for extracting resonance poles from amplitudes. |
| title | Assessing the role of threshold conditions in the determination of uncertainties in pole extractions using Padé approximants |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.20721 |