Fermion masses and mixings, FCNCs and $g-2$ muon anomaly in an extended 2HDM with $Q_6$ flavor symmetry

Abstract

We propose an extended 2HDM with Q 6 × Z 4 × Z 2 symmetry that can interpret the SM fermion mass hierarchy and their mixing patterns with the Dirac CP phase in the framework of the type-I seesaw mechanism. The smallness of neutrino masses is obtained via the Type-I seesaw mechanism. Both normal and inverted neutrino mass hierarchies are consistent with the experimental data on the lepton and quark masses and mixing patterns. The prediction for the Dirac phase is δ CP ∈ (1.50, 1.82)π for normal ordering and δ CP ∈ (1.50, 1.80)π for inverted ordering that includes its experimentally maximum value. The sum of neutrino masses is predicted to be m i ∈ (58.50, 60.50) meV for normal ordering and m i ∈ (98.50, 101.00) meV for inverted ordering which are well consistent with all the recent limits. In addition, the predictions for the effective neutrino masses are m ee ∈ (3.70, 3.90)meV for normal ordering and m ee ∈ (48.00, 49.40) meV for inverted ordering which are in