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Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays

We investigate whether the anomalous tensor operators with the Lorentz structure $σ_{μν} (1+γ_{5})\otimes σ^{μν}(1+γ_{5})$, which could provide a simple resolution to the polarization anomaly observed in $B\to ϕK^{\ast}$ decays, could also provide a coherent resolution to the large ${\cal B}(B\to ηK^{\ast})$ and survive bounds from $B\toηK$ decays. Parameter spaces satisfying all these experimental data are obtained, and found to be dominated by the color-octet tensor operator contribution. Constraints for the equivalent solution with $(1+γ_{5})\otimes(1+γ_{5})$ operators are also derived and found to be dominated by the color-singlet one. With the constrained parameter spaces, we finally give predictions for $B_{s}\to ϕϕ$ decay, which could be tested at the Fermilab Tevatron and the LHC-b experiments.