Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry

Abstract

We propose a predictive model based on the $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_X$ gauge symmetry, which is supplemented by the $D_4$ family symmetry and several auxiliary cyclic symmetries whose spontaneous breaking produces the observed SM fermion mass and mixing pattern. The masses of the light active neutrinos are produced by an inverse seesaw mechanism mediated by three right handed Majorana neutrinos. To the best of our knowledge the model corresponds to the first implementation of the $D_4$ family symmetry in a $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_X$ theory with three right handed Majorana neutrinos and inverse seesaw mechanism. Our proposed model successfully accommodates the experimental values of the SM fermion mass and mixing parameters, the muon anomalous magnetic moment as well as the Higgs diphoton decay rate and meson oscillations constraints. The consistency of our model with the muon anomalous magnetic moment requires charged exotic vector like leptons at the TeV scale.

arXiv commentVersion accepted for publication in European Physical Journal C

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Cited by in corpus (8)

• Gauged Inverse Seesaw from Dark Matter
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Linear seesaw mechanism from dark sector
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Discrete symmetries and Efficient Counting of Operators
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• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw