Constraints on the anomalous tensor operators from B\to\phi K^{\ast}, \eta K^{\ast}$ and \eta K decays

Abstract

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.