Correlated study on some $B_{c}\rightarrow \text{ }P$ and $B_{c}\rightarrow\text{ }S$ wave channels in light of new inputs
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| Formato: | Preprint |
| Publicado: |
2025
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| author | Dey, Utsab Nandi, Soumitra |
| author_facet | Dey, Utsab Nandi, Soumitra |
| contents | This study investigates the decay modes of the $B_c$ meson, focusing on semileptonic and nonleptonic decay into S and P wave charmonia. The primary objective is to extract the shape parameter of the $B_{c}$ meson distribution amplitude through a data-driven approach, utilizing the lattice results on $B_{c}\rightarrowη_{c},J/ψ$ semileptonic form factors and yielding an estimate of ${ω_B}_c = 0.998(34)$ for the same. We use the form factors derived from the modified perturbative QCD framework in the analysis. This result and various other inputs on the radiative decays of the P wave charmonia enable us to estimate the $q^2$ shapes of the $B_{c}\rightarrowχ_{c0},χ_{c1}$ and $h_{c}$ form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables $R(χ_{c0})=0.169(11)$, $R(χ_{c1})=0.126(2)$ and $R(h_{c})=0.113(3)$. Finally, we have presented predictions for branching ratios of some nonleptonic decay modes of the $B_{c}$ meson into S and P wave charmonia in the same modified perturbative QCD framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01693 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correlated study on some $B_{c}\rightarrow \text{ }P$ and $B_{c}\rightarrow\text{ }S$ wave channels in light of new inputs Dey, Utsab Nandi, Soumitra High Energy Physics - Phenomenology This study investigates the decay modes of the $B_c$ meson, focusing on semileptonic and nonleptonic decay into S and P wave charmonia. The primary objective is to extract the shape parameter of the $B_{c}$ meson distribution amplitude through a data-driven approach, utilizing the lattice results on $B_{c}\rightarrowη_{c},J/ψ$ semileptonic form factors and yielding an estimate of ${ω_B}_c = 0.998(34)$ for the same. We use the form factors derived from the modified perturbative QCD framework in the analysis. This result and various other inputs on the radiative decays of the P wave charmonia enable us to estimate the $q^2$ shapes of the $B_{c}\rightarrowχ_{c0},χ_{c1}$ and $h_{c}$ form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables $R(χ_{c0})=0.169(11)$, $R(χ_{c1})=0.126(2)$ and $R(h_{c})=0.113(3)$. Finally, we have presented predictions for branching ratios of some nonleptonic decay modes of the $B_{c}$ meson into S and P wave charmonia in the same modified perturbative QCD framework. |
| title | Correlated study on some $B_{c}\rightarrow \text{ }P$ and $B_{c}\rightarrow\text{ }S$ wave channels in light of new inputs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.01693 |