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 $B\to \varphi K^{\ast }$ decays, could also provide a coherent resolution to the large $\mathcal{B}(B\to \eta K^{\ast })$ 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 $B_s\to \varphi \varphi$ decay, which could be tested at the Fermilab Tevatron and the LHC-b experiments.

Comments: 27 pages, 5 tables and 6 figures. Journal version