Rare semileptonic decays of B and B_c mesons in the relativistic quark model

Abstract

Rare semileptonic decays of B and B_c mesons are investigated in the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. Form factors parametrizing the matrix elements of the weak transitions between corresponding meson states are calculated with the complete account of the relativistic effects including contributions of intermediate negative energy states and relativistic transformations of the meson wave functions. The momentum transfer dependence of the form factors is reliably determined in the whole accessible kinematical range. On this basis the total and differential branching fractions of the B\to K^{(*)}l^+l^-(ν\barν) and B_c\to D_s^{(*)}l^+l^-(ν\barν), B_c\to D^{(*)}l^+l^-(ν\barν) decays as well as the longitudinal polarization fractions F_L of the final vector meson and the muon forward-backward asymmetries A_{FB} are calculated. Good agreement of the obtained results with the recent detailed experimental data on the B\to K^{(*)}μ^+μ^- decays from Belle and CDF is found. Predictions for the rare semileptonic decays of the B_c mesons are given.

24 pages, 9 figures

References in corpus (8)

• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays
• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• Semileptonic decays of heavy baryons in the relativistic quark model
• New analysis of semileptonic B decays in the relativistic quark model
• Analysis of the Rare $B_c\to D_{s,d}^{\ast }{l}^{+}{l}^{-}$ Decays in QCD
• Analysis of the rare semileptonic $B_c \rar P(D,D_s) l^{+}l^{-}/ν\barν$ decays within QCD sum rules
• Light-front quark model analysis of the exclusive rare $B_c\to D_{(s)}({\ell }^{+}{\ell }^{-},{\nu }_{\ell }{\bar{\nu }}_{\ell })$ decays

Cited by in corpus (26)

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• Model independent analysis of New Physics effects on $B_c\to (D_s,D_s^{\ast }){\mu }^{+}{\mu }^{-}$ decay observables
• A comprehensive study on the semileptonic decay of heavy flavor mesons
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• Form factors of the B-S-transitions in the covariant quark model
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• Form factors for semileptonic D decays
• Decay $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$ in covariant quark model
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• The study of light invisible particles in $B_c$ decays
• Study of Bc-> D_s^* \ell^+ \ell^- in Single Universal Extra Dimension
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• The Study of Rare $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ Decays
• The Production of $X(3940)$ and $X(4160)$ in $B_c$ decays
• Decay $B_c^{+}\to D_{(s)}^{(\ast )+}{\ell }^{+}{\ell }^{-}$ within covariant confined quark model
• The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model
• Combined analysis of $B_c\to D_s^{(\ast )}{\mu }^{+}{\mu }^{-}$ and $B_c\to D_s^{(\ast )}\nu \bar{\nu }$ decays within $Z^{\prime }$ and leptoquark new physics models
• Probing mixed-state dark matter and flavor observables in a scalar-assisted baryonic gauge theory
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays