Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays

We study the first observed charmless $B\to VV$ modes, the $B\to \varphi K^{\ast }$ decays, in perturbative QCD formalism. The obtained branching ratios $B(B\to \varphi K^{\ast })\sim 15\times {10}^{-6}$ are larger than $\sim 9\times {10}^{-6}$ from QCD factorization. The comparison of the predicted magnitudes and phases of the different helicity amplitudes, and branching ratios with experimental data can test the power counting rules, the evaluation of annihilation contributions, and the mechanism of dynamical penguin enhancement in perturbative QCD, respectively.