A model independent description of $B\rightarrow D π\ell ν$ decays
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| Format: | Preprint |
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2023
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| _version_ | 1866912077302464512 |
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| author | Gustafson, Erik J. Herren, Florian Van de Water, Ruth S. van Tonder, Raynette Wagman, Michael L. |
| author_facet | Gustafson, Erik J. Herren, Florian Van de Water, Ruth S. van Tonder, Raynette Wagman, Michael L. |
| contents | We introduce a new parameterization of $B\rightarrow D π\ell ν$ form factors using a partial-wave expansion and derive bounds on the series coefficients using analyticity and unitarity. This is the first generalization of the model-independent formalism developed by Boyd, Grinstein, and Lebed for $B \to D \ell ν$ to semileptonic decays with multi-hadron final states, and enables data-driven form factor determinations with robust, systematically-improvable uncertainties. Using this formalism, we extract the form-factor parameters for $B \to D_2^\ast(\to Dπ) \ell ν$ decays in a model-independent way from fits of data from the Belle Experiment, and, for the first time, study the two-pole structure in the $Dπ$ S-wave in semileptonic decays employing lineshapes from unitarized chiral perturbation theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_00864 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A model independent description of $B\rightarrow D π\ell ν$ decays Gustafson, Erik J. Herren, Florian Van de Water, Ruth S. van Tonder, Raynette Wagman, Michael L. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice We introduce a new parameterization of $B\rightarrow D π\ell ν$ form factors using a partial-wave expansion and derive bounds on the series coefficients using analyticity and unitarity. This is the first generalization of the model-independent formalism developed by Boyd, Grinstein, and Lebed for $B \to D \ell ν$ to semileptonic decays with multi-hadron final states, and enables data-driven form factor determinations with robust, systematically-improvable uncertainties. Using this formalism, we extract the form-factor parameters for $B \to D_2^\ast(\to Dπ) \ell ν$ decays in a model-independent way from fits of data from the Belle Experiment, and, for the first time, study the two-pole structure in the $Dπ$ S-wave in semileptonic decays employing lineshapes from unitarized chiral perturbation theory. |
| title | A model independent description of $B\rightarrow D π\ell ν$ decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2311.00864 |