Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs

Abstract

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 $B_c\to {\eta }_c,J/\psi$ semileptonic form factors and yielding an estimate of ${{\omega }_B}_c=0.998(34)$ 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 $B_c\to {\chi }_{c0},{\chi }_{c1}$ and $h_c$ form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables $R({\chi }_{c0})=0.169(11)$, $R({\chi }_{c1})=0.126(2)$ 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.

50 pages, 12 figures, 20 tables. Updated Equation (2.31), Figures 9 and 10, and corrected minor typographical errors according to the final published version in JHEP

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Cited by in corpus (1)

• Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays