$R(K^{(\ast )})$ with vector unparticles

Abstract

We analyze the unparticle effects on the lepton flavor universality violating ratios in $b\to s$ transition, $R(K^{(\ast )})$. We concentrate on the vector unparticles which contribute to the relevant Wilson coefficients $C_{9,10}$. New effects appear in the form of some powers of the momentum transfer squared, which is a different feature from other new physics models like leptoquarks or $Z^{\prime }$. Constraints from $B_s$-${\bar{B}}_s$ mixing, $B_s\to {\mu }^{+}{\mu }^{-}$, and the electron/muon anomalous magnetic moments are considered. It is found that the vector unparticles successfully explain $R(K^{(\ast )})$ with moderate values of model parameters.

Comments: 18 pages, 5 figures, improved analysis; journal accepted version