Phenomenology of Two Higgs Doublet Model with Flavor Dependent U(1) Symmetry

We propose a generation dependent lepton/baryon Abelian gauge symmetry, \(U(1)_X\), as a possible solution for the \(b\rightarrow s \mu ^+ \mu ^-\) anomalies. Introducing two Higgs doublet fields, we can reproduce the observed CKM matrix, and generate flavor changing \(Z'\) interactions in the quark sector due to flavor dependent charge assignment. One thus can explain observed anomalies in \(b \rightarrow s \ell ^+ \ell ^-\) decay with the lepton non-universal \(U(1)_X\) charge assignments. Taking into account experimental constraints of \(B_s\)–\(\bar{B}_s\) mixing we show parameter region explaining the anomalies and discuss dark matter physics.