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

Abstract

Motivated by systematic observations of $B_c$ decays at LHCb, we analyze $B_c^{+}\to J/\psi (A,T)$ decays (where $A$ denotes axial-vector mesons $a_1(1260{)}^{+}$, $b_1(1235{)}^{+}$, and $T$ denotes tensor mesons $a_2(1320{)}^{+}$, $K_2^{\ast }(1430{)}^{+}$) within the perturbative QCD (pQCD) factorization framework. The framework employs light-cone distribution amplitudes (LCDAs) to regulate nonperturbative dynamics, utilizing Sudakov suppression to control endpoint divergences. Our predictions indicate branching ratios of $10^{-3}\sim 10^{-2}$ for $B_c^{+}\to J/\psi A$ and $10^{-5}\sim 10^{-4}$ for $B_c^{+}\to J/\psi T$ decays, which seem to be in the reach of future experiments. We also provide predictions for the polarization fractions of these decays. Based on quark helicity analysis, the longitudinal polarization amplitudes are expected to dominate the branching ratios.

15 pages, 2 figures

References in corpus (19)

• Heavy quarkonium: progress, puzzles, and opportunities
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Charmless Hadronic B Decays into a Tensor Meson
• B to tensor meson form factors in the perturbative QCD approach
• Measurement of the lifetime of the B_c meson in the semileptonic decay channel
• Hadronic charmless B decays B-> AP
• Estimation of Semileptonic Decays of $B_c$ Meson to S-wave Charmonia with NRQCD
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• Weak productions of new charmonium in semi-leptonic decays of B_c
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Study of $B_c^{+}$ decays to the $K^{+}{K}^{-}{\pi }^{+}$ final state and evidence for the decay $B_c^{+}\to {\chi }_{c0}{\pi }^{+}$
• Relativistic description of the semileptonic decays of bottom mesons
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$
• Branching ratios of $B_c$ Meson Decaying to Vector and Axial-Vector Mesons
• Properties of Axial-vector Mesons and Charmless B Decays: B -> VV, VA, AA
• Analysis of B to J a1(1260)in pertubative QCD approach