Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios

Abstract

In this work, we investigate the form factors of $B_c$ decays into $J/\Psi ,\psi (2S,3S)$, ${\eta }_c,{\eta }_c(2S,3S),{\chi }_{c0},{\chi }_{c1},h_c$ and $X(3872)$ mesons in the covariant light-front quark model (CLFQM). For the purpose of the branching ratio calculation, the form factors of $B_c\to D^{(\ast )},D_s^{(\ast )}$ transitions are also included. In order to obtain the form factors for the physical transition processes, we need extend these form factors from the space-like region to the time-like region. The $q^2$-dependence for each transition form factor is also plotted. Then, under the factorization method, we calculate the branching ratios of 80 $B_c$ decay channels with a charmonium involved in each mode. Most of our predictions are comparable with the results given by most of other approaches. As to the decays with the radially excited state S-wave charmonia, such as $\psi (2S,3S)$ and ${\eta }_c(2S,3S)$, involved, there are two sets of parameters for their light-front wave functions, corresponding to scenario I (SI) and scenario II (SII), are adopted to calculate the branching ratios. Comparing with the future experimental data, one can discriminate which parameters are more favored.

arXiv comment38 pages, 11 figures, 17 tables. Comments are welcome

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Cited by in corpus (8)

• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Observation of the $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^0$ decay
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• Chirality structure of vector like new physics operators in charged current transitions