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

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

2001-10-17

arxiv.org/abs/hep-ph/0110222v2

Phys.Rev. D65 (2002) 074032

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.65.074032

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 $q^+ \neq 0$ 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 ${\rm BR}(B\to K\ell^+\ell^-)$ as $4.96\times10^{-7}|V_{ts}/V_{cb}|^2$ for $\ell=e,\mu$ and $1.27\times 10^{-7}|V_{ts}/V_{cb}|^2$ for $\ell=\tau$.

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