Light-front quark model analysis of rare $B\to K{\ell }^{+}{\ell }^{-}$ decays

Abstract

Using the light-front quark model, we calculate the transition form factors, decay rates, and longitudinal lepton polarization asymmetries for the exclusive rare $B\to K{\ell }^{+}{\ell }^{-}(\ell =e,\mu ,\tau$) decays within the standard model. Evaluating the timelike form factors, we use the analytic continuation method in $q^{+}=0$ frame to obtain the form factors $F_{+}$ and $F_T$, which are free from zero-mode. The form factor $F_{-}$ which is not free from zero-mode in $q^{+}=0$ frame and contaminated by the higher(or nonvalence) Fock states in $q^{+}\ne 0$ frame is obtained from an effective treatment for handling the nonvalence contribution based on the Bethe-Salpeter formalism. The covariance(i.e. frame-independence) of our model calculation is discussed. We obtain the branching ratios for $\mathrm{BR}(B\to K{\ell }^{+}{\ell }^{-})$ as $4.96\times 10^{-7}|V_{ts}/V_{cb}{|}^2$ for $\ell =e,\mu$ and $1.27\times 10^{-7}|V_{ts}/V_{cb}{|}^2$ for $\ell =\tau$.

15 pages, 9 figures; added the figure for F_-(q^2) in Fig. 6; added the lengthy discussion and figure(Fig. 9) of VMD effect on LFQM near zero-recoil region; added some more references; version to appear in Phys. Rev. D

References in corpus (7)

• Measurement of CP-violating asymmetries in B0 decays to CP eigenstates
• Measurement of the CP Violation Parameter sin(2phi_1) in B^0_d Meson Decays
• Improved Analysis of B->pi e nu from QCD Sum Rules on the Light-Cone
• Observation of the Decay $B\to K{\ell }^{+}{\ell }^{-}$
• Skewed quark distribution of the pion in the light-front quark model
• New physics effects to the lepton polarizations in the B -> K l^+ l^- decay
• Improved Upper Limits on the FCNC Decays $B\to K{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }(892){\ell }^{+}{\ell }^{-}$

Cited by in corpus (26)

• Measurements of branching fractions, rate asymmetries, and angular distributions in the rare decays B --> Kl+l- and B --> K*l+l-
• Covariant Light-Front Approach for $B_c$ transition form factors
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Heavy-to-light form factors on the light cone
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Evidence for the Rare Decay B -> K*ll and Measurement of the B -> Kll Branching Fraction
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• $B_c$ 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
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
• Higher Fock State Contributions to the Generalized Parton Distribution of Pion
• Continuity of generalized parton distributions for the pion virtual Compton scattering
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Search for the Rare Decays B^+ -> mu^+ mu^- K^+, B^0 -> mu^+ mu^- K^*0(892), and B^0_s -> mu^+ mu^- phi at CDF
• Light-front quark model analysis of the exclusive rare $B_c\to D_{(s)}({\ell }^{+}{\ell }^{-},{\nu }_{\ell }{\bar{\nu }}_{\ell })$ decays
• Exclusive rare $B_s\to (K,\eta ,{\eta }^{\prime }){\ell }^{+}{\ell }^{-}$ decays in the light-front quark model
• B_c meson rare decays in the light-cone quark model
• The Study of Rare $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ Decays
• 2004 Review of Light Cone Field Theory
• Study of rare semileptonic $B_c^{+}\to D^{+}\nu \bar{\nu }$ decay in the light-cone quark model
• Radiative transitions among the vector and scalar heavy quarkonium states with covariant light-front quark model
• Time-like electromagnetic form factors of $\Lambda ,\Sigma$ and ${\Xi }^{+}$ in a light-front quark model