$b\to s{\mu }^{+}{\mu }^{-}$ tensor operators from $B\to K^{\ast }(X_s)\gamma$

Tensor operators are often invoked as specific new physics operators beyond the standard model in an effort to explain anomalies in rare B-decays and CP asymmetries. Specifically, $b\to s{\mu }^{+}{\mu }^{-}$ tensor operators are invoked in the study of semi-leptonic decays, both inclusive and exclusive. In this note we use the data on $b\to s$ radiative decay modes and CP asymmetries to tightly constrain the tensor operators. It is found that constraints thus obtained are tighter than those from semi-leptonic modes. We also comment on $b \to ss\bar{s}$tensoroperatorsthathelpinexplainingthe$B \to \phi K^*$polarizationpuzzle,and$b\to s\tau^+\tau^-$ operators with tensor structure.