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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2509.15659 |
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| author | Cheng, Shan Dai, Ling-yun Shen, Jian-ming Zhang, Shu-lei |
| author_facet | Cheng, Shan Dai, Ling-yun Shen, Jian-ming Zhang, Shu-lei |
| contents | We present a novel framework for analyzing four-body semileptonic weak decays, performing the first high-twist analysis of the $D_s \to \left[ ππ\right]_{\rm S}$ form factors using light-cone distribution amplitudes for the isoscalar two-pion state ($2π$DAs). It is motivated by persistent tensions between phenomenological cascade analyses and QCD-based interpretations of the partonic structure of $f_0$ meson. Our study reveals that the twist-3 $2π$DAs incorporate an asymmetry in the partial-wave expansion, a feature absent in single $f_0$ distribution amplitudes, that drives a substantial cancellation between twist-2 and twist-3 contributions to the form factors. As a result, the predicted decay rate falls significantly below the experimental value. These findings indicate that the isoscalar two-pion system near the charm scale is not primarily a $q{\bar q}$ state, reviving the energy-dependent partonic structures of light scalar mesons by highlighting a fundamental limitation of the single-meson LCDA approach in describing such complex systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reviving the energy-dependent partonic structure of $f_0(980)$ via two-pion distribution amplitudes Cheng, Shan Dai, Ling-yun Shen, Jian-ming Zhang, Shu-lei High Energy Physics - Phenomenology We present a novel framework for analyzing four-body semileptonic weak decays, performing the first high-twist analysis of the $D_s \to \left[ ππ\right]_{\rm S}$ form factors using light-cone distribution amplitudes for the isoscalar two-pion state ($2π$DAs). It is motivated by persistent tensions between phenomenological cascade analyses and QCD-based interpretations of the partonic structure of $f_0$ meson. Our study reveals that the twist-3 $2π$DAs incorporate an asymmetry in the partial-wave expansion, a feature absent in single $f_0$ distribution amplitudes, that drives a substantial cancellation between twist-2 and twist-3 contributions to the form factors. As a result, the predicted decay rate falls significantly below the experimental value. These findings indicate that the isoscalar two-pion system near the charm scale is not primarily a $q{\bar q}$ state, reviving the energy-dependent partonic structures of light scalar mesons by highlighting a fundamental limitation of the single-meson LCDA approach in describing such complex systems. |
| title | Reviving the energy-dependent partonic structure of $f_0(980)$ via two-pion distribution amplitudes |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.15659 |