S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach

Abstract

We make a systematic investigation on the two-body nonleptonic decays $B_c\to J/\Psi ({\eta }_c),M$ by employing the perturbative QCD approach based on $k_T$ factorization, where $M$ is a light pseudoscalar or vector or a heavy charmed meson. We predict the branching ratios and direct CP asymmetries of these $B_c$ decays and also the transverse polarization fractions of $B_c\to J/\Psi V,J/\psi D_{(s)}^{\ast }$ decays. It is found that these decays have a large branching ratios of the order of $10^{-4}-10^{-2}$ and could be measured by the future LHC-b experiment. Our predictions for the ratios of branching fractions $\frac{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi D_s^{+})}{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi {\pi }^{+})}$ ,$\frac{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi D_s^{\ast +})}{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi D_s^{+})}$ and $\frac{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi K^{+})}{\mathcal{B}\mathcal{R}(B_c^{+}\to J/\Psi {\pi }^{+})}$ are in good agreement with the data. A large transverse polarization fraction which can reach $48\%$ is predicted in $B_c^{+}\to J/\Psi D_s^{\ast +}$ decay, which is consistent with the data. We find a possible direct CP violation in $B_c\to J/\psi D^{\ast }$ decays, which are helpful to test the CP violating effects in $B_c$ decays.

38 pages, 4 figures, 6 tables

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Cited by in corpus (21)

• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Study of $B_c^{+}$ decays to the $K^{+}{K}^{-}{\pi }^{+}$ final state and evidence for the decay $B_c^{+}\to {\chi }_{c0}{\pi }^{+}$
• Study of $B_c$ decays into charmonia and $D$ mesons
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decay
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Next-to-leading order QCD calculation of $B_c$ to charmonium tensor form factors
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Observation of the $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^0$ decay
• Electroweak, QCD and flavour physics studies with ATLAS data from Run 2 of the LHC
• CP violation in non-leptonic $B_c$ decays to excited final states
• Study of $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• 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
• Study of $B_c\to J/\psi (a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^{\ast }(1430))$ decay with a perturbative QCD approach
• Insights into the nature of the $X(3872)$ through B meson decays