We investigate whether the anomalous tensor operators with the Lorentz structure $\sigma_{ \mu\nu} (1+\gamma_{ 5})\otimes \sigma^{ \mu\nu}(1+\gamma_{ 5})$, which could provide a simple resolution to the polarization anomaly observed in $B\to \phi K^{ \ast}$ decays, could also provide a coherent resolution to the large ${ \cal B}(B\to \eta K^{ \ast})$ and survive bounds from $B\to\eta K$ 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 $(1+\gamma_{ 5})\otimes(1+\gamma_{ 5})$ operators are also derived and found to be dominated by the color-singlet one. With the constrained parameter spaces, we finally give predictions for $B_{ s}\to \phi \phi$ decay, which could be tested at the Fermilab Tevatron and the LHC-b experiments.
Categories: hep-ph