A multi-charged particle model with local U(1)μ-τ 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 \begin{document}$ U(1)_{\mu - \tau} $\end{document} symmetry. We search for an allowed parameter region explaining muon anomalous magnetic moment (muon \begin{document}$ g-2 $\end{document}) and \begin{document}$ b \to s \ell^+ \ell^- $\end{document} anomalies, satisfying constraints from the lepton flavor violations, Z boson decays, meson anti-meson mixing, and collider experiments. Via numerical analysis, we explore the typical size of the muon \begin{document}$ g-2 $\end{document} and Wilson coefficients to explain the \begin{document}$ b \to s \ell^+ \ell^- $\end{document} anomalies in our model when all other experimental constraints are satisfied. Subsequently, we discuss the collider physics of the multicharged vectorlike fermions, considering a number of benchmark points in the allowed parameter space.