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

TL;DR

This paper constrains $b o s ext{ tensor operators}$ using radiative decay data, providing tighter bounds than semi-leptonic modes, and discusses implications for various rare B-decay anomalies.

Contribution

It offers the first comprehensive constraints on $b o s$ tensor operators from radiative decay data, surpassing previous semi-leptonic mode limits.

Findings

Constraints on tensor operators are tighter from radiative decays than semi-leptonic modes.

Tensor operators may explain the $B o ext{phi} K^*$ polarization puzzle.

Additional tensor operators could impact $b o s au^+ au^-$ transitions.

Abstract

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 $b \to ss\bar{s}$ tensor operators that help in explaining the $B \to \phi K^*$ polarization puzzle, and $b\to s\tau^+\tau^-$ operators with tensor structure.