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Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
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abstract
Inspired by the recent measurement of the ratio of $B_c$ branching fractions to $J/\psi \pi^+$ and $J/\psi \mu^+\nu_{\mu}$ final states at the LHCb detector, we study the semileptonic decays of $B_c$ meson to the S-wave ground and radially excited 2S and 3S charmonium states with the perturbative QCD approach. After evaluating the form factors for the transitions $B_c\rightarrow P,V$, where $P$ and $V$ denote pseudoscalar and vector S-wave charmonia, respectively, we calculate the branching ratios for all these semileptonic decays. The theoretical uncertainty of hadronic input parameters are reduced by utilizing the light-cone wave function for $B_c$ meson. It is found that the predicted branching ratios range from $10^{-6}$ up to $10^{-2}$ and could be measured by the future LHCb experiment. Our prediction for the ratio of branching fractions $\frac{\mathcal {BR}(B_c^+\rightarrow J/\Psi \pi^+)}{\mathcal {BR}(B_c^+\rightarrow J/\Psi \mu^+\nu_{\mu})}$ is in good agreement with the data. For $B_c\rightarrow V l \nu_l$ decays, the relative contributions of the longitudinal and transverse polarization are discussed in different momentum transfer squared regions. These predictions will be tested on the ongoing and forthcoming experiments.
Forward citations
Cited by 5 Pith papers
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Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
A QCD sum-rule calculation predicts B_c semileptonic branching ratios to D-wave charmonia of order 10^-3 (ψ1), 10^-4 (ψ2 and η_c2), and 10^-5 (ψ3), decreasing with final-state angular momentum.
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Precision Study of Semileptonic and Non-Leptonic $B_c$ Decays to $\eta_c$ and P Wave Charmonia
Data-constrained NRQCD form factors yield R(χ_c0)=0.185(3), R(χ_c1)=0.147(26), R(h_c)=0.068(2) and related B_c branching fractions for P-wave charmonia.
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Study of Form Factors and Observables in $B_c^- \rightarrow \bar{D}^{(*)0}\ell^-\bar{\nu}_{\ell}$ and $B_c^- \rightarrow D^{(*)-}\ell^+\ell^-$ decays
Computes pQCD form factors for B_c to D(*) transitions via lattice inputs and heavy quark symmetry, then predicts branching fractions and angular observables for semileptonic and rare dilepton decays.
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Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach
An improved PQCD plus lattice calculation of B to K semileptonic FCNC form factors confirms a 2.7 sigma excess in B+ to K+ nu nubar and a deficit in B+ to K+ l+ l-, and rules out single-leptoquark explanations using B...
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Unravelling theoretical challenges in understanding $B_c$ meson decay
The paper presents new RIQ-model predictions for B_c decay ratios (R_D/D*, R_eta_c/J/psi, and tau/mu leptonic ratios) with no derivation or error bars.
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