$R(K^{(*)})$ with vector unparticles

TL;DR

This paper investigates how vector unparticles can explain the observed deviations in lepton flavor universality ratios in B-meson decays, offering a novel momentum transfer dependence distinct from other models.

Contribution

It introduces vector unparticles as a new physics explanation for $R(K^{(*)})$, highlighting their unique momentum transfer effects and compatibility with experimental constraints.

Findings

Vector unparticles can account for $R(K^{(*)})$ anomalies.

The model remains consistent with $B_s$ mixing and magnetic moment constraints.

Distinct power-law momentum transfer effects differentiate it from other new physics models.

Abstract

We analyze the unparticle effects on the lepton flavor universality violating ratios in $b\to s$ transition, $R(K^{(*)})$. 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 $Z'$. 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 $R(K^{(*)})$ with moderate values of model parameters.