Exclusive B --> M l^+ l^- (M=π, K, ρ, K^*) Decays and Determinations of |V_{ts}| (and |V_{td}/V_{ts}|)

Abstract

We examine the possibility for precise determination of |V_{ts}| (and |V_{td}/V_{ts}|) from the exclusive decays, $B-->K{\ell }^{+}{\ell }^{-},B-->K^{\ast }{\ell }^{+}{\ell }^{-}$ (and $B-->\pi {\ell }^{+}{\ell }^{-},B-->\rho {\ell }^{+}{\ell }^{-}$). We show that the ratio |V_{ts}| can be extracted experimentally with a small theoretical uncertainty from hadronic form--factors, if we {\bf appropriately constrain} kinematical regions of $q^2$. We also give detailed analytical and numerical results on the differential decay width $d\Gamma (B-->K^{\ast }{\ell }^{+}{\ell }^{-})/d{q}^2$, and the ratios of integrated branching fractions, $\mathcal{B}(B-->\rho {\ell }^{+}{\ell }^{-})/\mathcal{B}(B-->K^{\ast }{\ell }^{+}{\ell }^{-})$. We estimate that one can determine the ratio |V_{ts}| from those decays within theoretical accuracy of $\sim 10$.

16 pages, 4 figures, shortened for PLB publication

References in corpus (3)

• Rare B -> K^* l^+ l^- Decay in Light Cone QCD
• Light cone QCD sum rule analysis of B -> K l(+) l(-) decay
• B->Xq l+ l- (q=d,s) and Determination of |Vtd/Vts|

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