New CP phase of BsBs–B¯s mixing on T violation in Bd(s)→K∗(ϕ)ℓ+ℓ−Bd(s)→K∗(ϕ)ℓ+ℓ−

A large CP-violating phase uncovered recently by CDF and DØ Collaborations in the time-dependent CP asymmetry (CPA) of the Bs→J/ΨϕBs→J/Ψϕ decay clearly indicates that a non-Cabibbo–Kobayashi–Maskawa (CKM) phase has to be brought into the b→sb→s transition. We find that the model with SU(2)LSU(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 BsBs–B¯s mixing, Bq→Vqℓ+ℓ−Bq→Vqℓ+ℓ− (Vd[s]=K∗[ϕ]Vd[s]=K∗[ϕ]) and Bs→μ+μ−Bs→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 Bq→Vqℓ+ℓ−Bq→Vqℓ+ℓ−, while the branching ratio of Bs→μ+μ−Bs→μ+μ− can be enhanced to be O(10−8)O(10−8).