$B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach

Abstract

We calculate the branching ratios and CP-violating asymmetries for $B^0 \to K^{0} \ov K^{*0}$, $\ov K^{0} K^{*0}$, $K^{+}{K}^{\ast -}$, $K^{-}{K}^{\ast +}$, and $B^+\to K^+ \ov K^{*0}$ and $ \ov 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 $Br(B^0/\ov B^0 \to K^{\pm} K^{*\mp}) \approx 7.4 \times 10^{-8}$, $Br(B^0/\ov B^0 \to K^{0} \ov K^{*0}(\ov K^{0} K^{*0})) \approx 19.6 \times 10^{-7}$, $Br(B^+\to K^+ \ov K^{*0}) \approx 3 \times 10^{-7}$ and $Br(B^+\to K^{*+} \ov K^0) \approx 18.3 \times 10^{-7}$, which are consistent with currently available experimental upper limits. We also predict large CP-violating asymmetries in these decays: $A_{CP}^{dir}(K^\pm \ov K^{*0})\approx -20 %$, $A_{CP}^{dir}(K^{*\pm} \ov K^0)\approx -49%$, which can be tested by the forthcoming B meson experiments.

arXiv comment25 pages, 7 figures, RevTex, some corrections on the numerical results and contents, typos removed, new references added

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• $B\to K_0^{\ast }(1430)K$ decays in the perturbative QCD approach
• Observation of the Rare Decay B0 --> KsK+/-pi-/+
• Evidence for the decay B0 --> K+K-pi0
• Search for the decay B+ -> Kbar*0(892) K+
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Nonleptonic charmless two-body $B\to AT$ decays
• Supersymmetric contribution to B to rho K and B to pi K^* decays in SCET