CP phase of nonuniversal [formula omitted] on [formula omitted] and T-odd observables of [formula omitted

Abstract

The evidence of a large CP phase has been shown by CDF and DØ collaborations in the time-dependent CP asymmetry (CPA) of Bs→J/Ψϕ decay, where the nonvanished CPA clearly implies the existence of a non-Kobayashi–Maskawa phase in b→s transition. We study the new phases originated by the extra family-dependent U(1)′ model and examine their impact on Tˆ or CP violating observables in B¯q→Vqℓ+ℓ− decays with Vq=K∗(ϕ). Adopting the constraints from the current data of Δms and the branching ratios for B¯s→μ+μ− and B¯q→Vqℓ+ℓ−, we find that ϕsJ/Ψϕ=−(0.26±0.22) and the T-odd observables of above 10% in the decay chain B¯q→Vq(→Kπ[KK])ℓ+ℓ− can be achieved. In addition, we demonstrate that the longitudinal and transverse polarizations of K∗ and the up-down asymmetry of K in the same decay chain are also sensitive to the Z′-mediated effects.