$b\to s{\mu }^{+}{\mu }^{-}$ anomalies and related phenomenology in $U(1{)}_{B_3-x_{\mu }{L}_{\mu }-x_{\tau }{L}_{\tau }}$ flavor gauge models

Abstract

We propose a generation dependent lepton/baryon gauge symmetry, $U(1{)}_{B_3-x_{\mu }{L}_{\mu }-x_{\tau }{L}_{\tau }}\equiv U(1{)}_X$ (with $x_{\mu }+x_{\tau }=1$ for anomaly cancellation), as a possible solution for the $b\to s{\mu }^{+}{\mu }^{-}$ anomalies. By introducing two Higgs doublet fields, we can reproduce the observed CKM matrix, and generate flavor changing $Z^{\prime }$ interactions in the quark sector. Thus one can explain observed anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ decay with the lepton non-universal $U(1{)}_X$ charge assignments. We show the minimal setup explaining $b\to s{\ell }^{+}{\ell }^{-}$ anomalies, neutrino masses and mixings and dark matter candidate, taking into account experimental constraints of flavor physics such as charged lepton flavor violations and the $B_s$--${\bar{B}}_s$ mixing. Finally we discuss collider physics focusing on $Z^{\prime }$ production at the Large Hadron Collider and relic density of our dark matter candidate.

Comments: 23 pages, 8 figures, version accepted for publication in JHEP