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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.15309 |
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| _version_ | 1866908373334622208 |
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| author | Garcia-Lorenzo, A. Albaladejo, M. Gonzlez-Solis, S. Hammoud, N. Mathieu, V. Montana, G. Pilloni, A. Winney, D. Szczepaniak, A. P. |
| author_facet | Garcia-Lorenzo, A. Albaladejo, M. Gonzlez-Solis, S. Hammoud, N. Mathieu, V. Montana, G. Pilloni, A. Winney, D. Szczepaniak, A. P. |
| contents | This work studies the $ϕ\to 3π$ decay and the $ϕ\to π^0 γ^\ast$ transition form factor, utilizing the Khuri-Treiman formalism to account for analyticity, crossing, and unitarity. Using once-subtracted dispersion relations, we perform a simultaneous fit to the $ϕ\to 3π$ Dalitz plot distribution and the $ϕ\to π^0 γ^\ast$ measurements from the KLOE collaboration, finding good agreement with these experimental data. These results reaffirm the applicability of the Khuri-Treiman approach in the analysis of three-body decays. An interesting result is that the subtraction constant appearing in the equations is similar to a sum rule expectation, in contrast to analogous studies of $ω\to 3π$ decays and $ω\to π^0 γ^\ast$, which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from BaBar in the $e^{+}e^{-}\toϕπ^{0}$ scattering region. These intriguing theoretical differences between the decays of $ϕ$ and $ω$ could encourage further experimental measurements to assess the discrepancies and refine the theoretical predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $ϕ\to 3π$ and $ϕπ^{0}$ transition form factor from Khuri-Treiman equations Garcia-Lorenzo, A. Albaladejo, M. Gonzlez-Solis, S. Hammoud, N. Mathieu, V. Montana, G. Pilloni, A. Winney, D. Szczepaniak, A. P. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory This work studies the $ϕ\to 3π$ decay and the $ϕ\to π^0 γ^\ast$ transition form factor, utilizing the Khuri-Treiman formalism to account for analyticity, crossing, and unitarity. Using once-subtracted dispersion relations, we perform a simultaneous fit to the $ϕ\to 3π$ Dalitz plot distribution and the $ϕ\to π^0 γ^\ast$ measurements from the KLOE collaboration, finding good agreement with these experimental data. These results reaffirm the applicability of the Khuri-Treiman approach in the analysis of three-body decays. An interesting result is that the subtraction constant appearing in the equations is similar to a sum rule expectation, in contrast to analogous studies of $ω\to 3π$ decays and $ω\to π^0 γ^\ast$, which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from BaBar in the $e^{+}e^{-}\toϕπ^{0}$ scattering region. These intriguing theoretical differences between the decays of $ϕ$ and $ω$ could encourage further experimental measurements to assess the discrepancies and refine the theoretical predictions. |
| title | $ϕ\to 3π$ and $ϕπ^{0}$ transition form factor from Khuri-Treiman equations |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2505.15309 |