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Using the light-front quark model, we calculate the transition form factors,decay rates, and longitudinal lepton polarization asymmetries for the exclusiverare $B\to K\ell^+\ell^-(\ell=e,\mu,\tau$) decays within the standard model.Evaluating the timelike form factors, we use the analytic continuation methodin $q^+=0$ frame to obtain the form factors $F_+$ and $F_T$, which are freefrom 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 $q^+\neq 0$ frame is obtained from an effective treatment for handling thenonvalence contribution based on the Bethe-Salpeter formalism. Thecovariance(i.e. frame-independence) of our model calculation is discussed. Weobtain the branching ratios for ${\rm BR}(B\to K\ell^+\ell^-)$ as$4.96\times10^{-7}|V_{ts}/V_{cb}|^2$ for $\ell=e,\mu$ and $1.27\times10^{-7}|V_{ts}/V_{cb}|^2$ for $\ell=\tau$.Comment: 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.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Light-front quark model analysis of rareB→Kl+l−