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.

38 pages, 11 figures, 17 tables. Comments are welcome

References in corpus (14)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Semileptonic $B_c$ decays and Charmonium distribution amplitude
• Beauty mesons in lattice QCD with exact chiral symmetry
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• Bc Meson Formfactors and Bc-->PV Decays Involving Flavor Dependence of Transverse Quark Momentum
• X(3872) in lattice QCD with exact chiral symmetry
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Relativistic description of the semileptonic decays of bottom mesons
• $B_c(B)\to Dl\tilde{\nu }$ form factors in Light-Cone Sum Rules and the $D$-meson distribution amplitude
• Form factors of $P\to T$ transition within the light-front quark models
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$

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