Semileptonic $B_{(s)}$ meson decays to $D_{0}^{\ast}(2300) ,D_{s0}^{\ast}(2317) , D_{s1}(2460), D_{s1}(2536), D_{1}(2420)$ and $D_{1}(2430)$ within the covariant light-front approach
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| Format: | Preprint |
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2025
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| _version_ | 1866912189526310912 |
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| author | Yang, You-Ya Zhang, Zhi-Qing Yang, Hao |
| author_facet | Yang, You-Ya Zhang, Zhi-Qing Yang, Hao |
| contents | In this work, we investigate the semileptonic decays of $B_{(s)}$ meson to $D_{0}^{\ast}(2300)$, $D_{s0}^{\ast}(2317)$, $D_{s1}(2460)$, $D_{s1}(2536)$, $D_{1}(2420)$ and $D_{1}(2430)$ in the covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $B_{(s)} \to D^{**}_{(s)}\ell ν_\ell$ with $D^{**}_{(s)}$ referring to a P-wave exicted charmed meson $D_{0}^{\ast}(2300)$, $D_{s0}^{\ast}(2317)$, $D_{s1}(2460)$, $D_{s1}(2536)$, $D_{1}(2420)$ or $D_{1}(2430)$ and $\ell=e, μ, τ$. Furthermore, we also take into account another two physical observables, namely the longitudinal polarization fraction $f_L$ and the forward-backward asymmetry $A_{FB}$. Most of our predictions are comparable to the results given by other theoretical approaches and the present available data. The branching ratios of the semileptonic decay channels $B_{s} \to D_{s1}(2460) \ell ν_\ell$ and $B \to D_{1}(2420) \ell ν_\ell$ are larger than those of the semileptonic decays $B_{s} \to D_{s1}(2536) \ell ν_\ell$ and $B \to D_{1}(2430) \ell ν_\ell$, respectively. We find that the long-standing '$1/2$ vs $3/2$ puzzle' in the decays $B^{+}\to \bar{D}_1^{(\prime)0} \ell^{\prime+}ν_{\ell^\prime}$ $(\ell^\prime=e,μ)$ can be solved by taking some negative mixing angle $θ_s$ values within a range from $-30.3^\circ$ to $-24.9^\circ$, corresponding to $θ$ of about $5^\circ\sim10.4^\circ$. While Belle collaboration updated their measurements for the decays $B^{0}\to D^{*-}_0 \ell^{\prime+}ν_{\ell^\prime}$ with only a small upper limit $Br(B^{0}\to D^{*-}_0 \ell^{\prime+}ν_{\ell^\prime})<0.44\times10^{-3}$ obtained, which is much larger than most theoretical predictions and causes a new puzzle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semileptonic $B_{(s)}$ meson decays to $D_{0}^{\ast}(2300) ,D_{s0}^{\ast}(2317) , D_{s1}(2460), D_{s1}(2536), D_{1}(2420)$ and $D_{1}(2430)$ within the covariant light-front approach Yang, You-Ya Zhang, Zhi-Qing Yang, Hao High Energy Physics - Phenomenology High Energy Physics - Experiment In this work, we investigate the semileptonic decays of $B_{(s)}$ meson to $D_{0}^{\ast}(2300)$, $D_{s0}^{\ast}(2317)$, $D_{s1}(2460)$, $D_{s1}(2536)$, $D_{1}(2420)$ and $D_{1}(2430)$ in the covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $B_{(s)} \to D^{**}_{(s)}\ell ν_\ell$ with $D^{**}_{(s)}$ referring to a P-wave exicted charmed meson $D_{0}^{\ast}(2300)$, $D_{s0}^{\ast}(2317)$, $D_{s1}(2460)$, $D_{s1}(2536)$, $D_{1}(2420)$ or $D_{1}(2430)$ and $\ell=e, μ, τ$. Furthermore, we also take into account another two physical observables, namely the longitudinal polarization fraction $f_L$ and the forward-backward asymmetry $A_{FB}$. Most of our predictions are comparable to the results given by other theoretical approaches and the present available data. The branching ratios of the semileptonic decay channels $B_{s} \to D_{s1}(2460) \ell ν_\ell$ and $B \to D_{1}(2420) \ell ν_\ell$ are larger than those of the semileptonic decays $B_{s} \to D_{s1}(2536) \ell ν_\ell$ and $B \to D_{1}(2430) \ell ν_\ell$, respectively. We find that the long-standing '$1/2$ vs $3/2$ puzzle' in the decays $B^{+}\to \bar{D}_1^{(\prime)0} \ell^{\prime+}ν_{\ell^\prime}$ $(\ell^\prime=e,μ)$ can be solved by taking some negative mixing angle $θ_s$ values within a range from $-30.3^\circ$ to $-24.9^\circ$, corresponding to $θ$ of about $5^\circ\sim10.4^\circ$. While Belle collaboration updated their measurements for the decays $B^{0}\to D^{*-}_0 \ell^{\prime+}ν_{\ell^\prime}$ with only a small upper limit $Br(B^{0}\to D^{*-}_0 \ell^{\prime+}ν_{\ell^\prime})<0.44\times10^{-3}$ obtained, which is much larger than most theoretical predictions and causes a new puzzle. |
| title | Semileptonic $B_{(s)}$ meson decays to $D_{0}^{\ast}(2300) ,D_{s0}^{\ast}(2317) , D_{s1}(2460), D_{s1}(2536), D_{1}(2420)$ and $D_{1}(2430)$ within the covariant light-front approach |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2501.08519 |