b→sμ⁺μ⁻ anomalies and related phenomenology in $U{\left(1\right)}_{B_3-x_{\mu }{L}_{\mu }-x_{\tau }{L}_{\tau }}$ flavor gauge models

We propose a generation dependent lepton/baryon gauge symmetry, $U{\left(1\right)}_{B_3-x_{\mu }{L}_{\mu }-x_{\tau }{L}_{\tau }}\equiv U{\left(1\right)}_X$ (with x_μ + x_τ = 1 for anomaly cancellation), as a possible solution for the b → sμ⁺μ⁻ anomalies. By introducing two Higgs doublet fields, we can reproduce the observed CKM matrix, and generate flavor changing Z^′ interactions in the quark sector. Thus one can explain observed anomalies in b → sℓ⁺ℓ⁻ decay with the lepton non-universal U(1)_X charge assignments. We show the minimal setup explaining b→sℓ⁺ℓ⁻ 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 $B_s-{\overline{B}}_s$ mixing. Finally we discuss collider physics focusing on Z^′ production at the Large Hadron Collider and relic density of our dark matter candidate.