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

Abstract

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. The minimal model is based on $Z_4$ symmetry with only one extra scalar doublet. In this model, we show that the parameter space favored by the muon $g-2$ can easily be consistent with experimental constraints and theoretical bounds such as the electroweak precision tests, lepton universality, potential stability condition and triviality bound as well as the LHC direct search mass bound. The new contributions to the muon electric dipole moment and the Higgs decay into $\gamma \gamma$ can be indirect signals of the model.

22 pages, 8 figures, 1 table, version to appear in JHEP

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• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• A Large Muon EDM from Dark Matter
• Interplay of the charged Higgs effects in $R_{D^{(\ast )}}$, $b\to s{\ell }^{+}{\ell }^{-}$ and $W$-mass
• Flavor-changing light bosons with accidental longevity
• Scalar Dark Matter with a $\mu \tau$ Flavored Mediator
• Collider probe of heavy additional Higgs bosons solving the muon $g-2$ and dark matter problems