A $\mu$-$\tau$-philic scalar doublet under $Z_n$ flavor symmetry

Understand

We propose a minimal model which accommodates the long-standing anomaly of muon magnetic moment based on abelian discrete flavor symmetries.

• The standard model is extended by scalar doublets charged under a $Z_n$ lepton flavor symmetry.
• In these models, a large contribution to the muon magnetic moment can be obtained by the chirality enhancement from new scalar mediated diagrams without conflicting with the flavor symmetry.
• Thanks to the lepton flavor symmetry, these models automatically forbid lepton flavor violation.