A multi-charged particle model with local $U(1{)}_{\mu -\tau }$ to explain muon $g-2$, flavor physics, and possible collider signature

We consider a model with multi-charged particles including vector-like fermions and a charged scalar under a local $U(1{)}_{\mu -\tau }$ symmetry. We search for allowed parameter region explaining muon anomalous magnetic moment (muon $g-2$) and $b\to s{\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ anomalies, satisfying constraints from the lepton flavor violations, $Z$ boson decays, meson anti-meson mixing and collider experiments. Carrying out numerical analysis, we explore the typical size of the muon $g-2$ and Wilson coefficients to explain $b \to s \ell^+ \ell^-$ anomalies in our model when all other experimental constraints are satisfied. We then discuss the collider physics of the multicharged vectorlike fermions, considering some benchmark points in the allowed parameter space.