The 3-3-1 model with A_4 flavor symmetry

Abstract

We argue that the A_4 symmetry as required by three flavors of fermions may well-embed in the SU(3)_C X SU(3)_L X U(1)_X gauge model. The new neutral fermion singlets as introduced in a canonical seesaw mechanism can be combined with the standard model lepton doublets to perform SU(3)_L triplets. Various leptoscalar multiplets such as singlets, doublets, and triplets as played in the models of A_4 are unified in single SU(3)_L antisextets. As a result, naturally light neutrinos with various kinds of mass hierarchies are obtained as a combination of type I and type II seesaw contributions. The observed neutrino mixing pattern in terms of the Harrison-Perkins-Scott proposal is obtained by enforcing of the A_4 group. The quark masses and Cabibbo-Kobayashi-Maskawa mixing matrix are also discussed. By virtue of very heavy antisextets the nature of the vacuum alignments of scalar fields can be given.

Version published by PRD

References in corpus (14)

• Symmetry of Lepton Mixing
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• A model for fermion masses and lepton mixing in SO(10) x A4
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• FCNC in the 3-3-1 model with right-handed neutrinos
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• Phenomenological aspects of the exotic $T$ quark in 331 models

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