Model-independent analysis on $R(K^{(*)})$

Abstract

We analyze the lepton-universality violating $B\to K^{(*)}\ell^+\ell^-$ puzzle $R(K^{(*)})$ in a model-independent way. The branching ratio ${\rm Br}(B_s\to\mu^+\mu^-)$ is also considered as a main constraint. We show how the branching ratio restricts the allowed region of the parameter space, and investigate new physics effects on the electronic as well as muonic sector in $R(K^{(*)})$. Within a reasonable range of parameters we find that the new physics scale goes up to $\sim 5$ TeV, and the new physics effects on the Wilson coefficient is $-1\lesssim C_{9NP}^\mu\lesssim 0$.