Family nonuniversal Z' effects on Bd,s → K*0(K)over-bar*0 decays in perturbative QCD approach

The nonleptonic decays B-d,B-s -> K*(0)(K) over bar*(0) are reanalyzed in perturbative QCD approach, which is based on the k(T) factorization. In the Standard Model, the calculated branching fraction and longitudinal polarization fraction of B-d -> K*(0)(K) over bar*(0) are in agreement with experimental measurements, while the predictions of B-s -> K*(0)(K) over bar*(0) cannot agree with data simultaneously. The parameter that combines longitudinal polarization fractions and branching fractions is calculated to be L-K*(K) over bar *0(PQCD) = 12.7(-3.2)(+5.6), which is also larger than that extracted from experimental measurements. We then study all observables by introducing a family nonuniversal Z' boson in b -> sq (q) over bar transitions. In order to reduce the number of new parameters, we simplify the model as possible. It is found that with the fixed value omega(Bs) = 0.55, these exists parameter space where all measurements, including the branching fraction, longitudinal polarization fraction, and L-K*(K) over bar *0-parameter, could be accommodated simultaneously. All our results and the small parameter space could be further tested in the running LHC experiment, Belle-II, and future high-energy colliders.