Constraints on the anomalous tensor operators from B → φK ∗ , ηK ∗ and ηK decays

We investigate whether the anomalous tensor operators with the Lorentz structure σμν(1 + γ5) ⊗ σμν(1 + γ5), which could provide a simple resolution to the polarization anomaly observed in B → φK∗ decays, could also provide a coherent resolution to the large B(B → ηK∗) and survive bounds from B → ηK 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+γ5)⊗(1+γ5) operators are also derived and found to be dominated by the color-singlet one. With the constrained parameter spaces, we finally give predictions for Bs → φφ decay, which could be tested at the Fermilab Tevatron and the LHC-b experiments. PACS Numbers: 13.25.Hw, 12.38.Bx, 12.15.Mm. ∗Corresponding author. E-mail address: [email protected] 1