New CP phase of B_s-over(B, ̄)_s mixing on T violation in B_{d (s)} → K^* (φ{symbol}) ℓ⁺ ℓ^-

A large CP-violating phase uncovered recently by CDF and DØ Collaborations in the time-dependent CP asymmetry (CPA) of the B_s → J / Ψ φ{symbol} decay clearly indicates that a non-Cabibbo-Kobayashi-Maskawa (CKM) phase has to be brought into the b → s transition. We find that the model with SU (2)_L singlet exotic quarks cannot only provide the new phase induced from the Z-mediated flavor changing neutral current (FCNC) at tree level, but also strongly relate the B_s-over(B, ̄)_s mixing, B_q → V_q ℓ⁺ ℓ^- (V_{d [s]} = K^* [φ{symbol}]) and B_s → μ⁺ μ^- together. In particular, we show that the new CP phase can be unambiguously exposed by the large statistical significances of T violating observables in B_q → V_q ℓ⁺ ℓ^-, while the branching ratio of B_s → μ⁺ μ^- can be enhanced to be O (10^-8).