We calculate the branching ratios and $CP$-violating asymmetries for $B^0\to K^0{\overline{K}}^{*0}$, ${\overline{K}}^0{K}^{*0}$, $K^{+}{K}^{*-}$, $K^{-}{K}^{*+}$, and $B^{+}\to K^{+}{\overline{K}}^{*0}$, and ${\overline{K}}^0{K}^{*+}$ decays by employing the low energy effective Hamiltonian and the perturbative QCD (pQCD) factorization approach. The theoretical predictions for the branching ratios are $\mathrm{Br}(B^0/{\overline{B}}^0\to K^{\pm }{K}^{*\mp })\approx 7.4\times {10}^{-8}$, $\mathrm{Br}(B^0/{\overline{B}}^0\to K^0{\overline{K}}^{*0}({\overline{K}}^0{K}^{*0}))\approx 19.6\times {10}^{-7}$, $\mathrm{Br}(B^{+}\to K^{+}{\overline{K}}^{*0})\approx 3\times {10}^{-7}$ and $\mathrm{Br}(B^{+}\to K^{*+}{\overline{K}}^0)\approx 18.3\times {10}^{-7}$, which are consistent with currently available experimental upper limits. We also predict large $CP$-violating asymmetries in these decays: $A_{\mathrm{CP}}^{\mathrm{dir}}(K^{\pm }{\overline{K}}^{*0})\approx -20\%$, $A_{\mathrm{CP}}^{\mathrm{dir}}(K^{*\pm }{\overline{K}}^0)\approx -49\%$, which can be tested by the forthcoming $B$ meson experiments.

• Received 3 September 2006

DOI:https://doi.org/10.1103/PhysRevD.75.014019