Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry

Abstract

In this paper, we realize the tri-bimaximal mixing in the lepton sector in the context of minimal seesaw in which only two right-handed neutrinos are introduced, with the discrete group $S4$ as the family symmetry. In order to constrain the form of superpotential, a $Z3$ symmetry is also introduced. In the model, the mass matrices for charged leptons and right-handed neutrinos are diagonal. The unitary matrix that diagonalizes the light Majorana neutrino mass matrix is exact tri-bimaximal at LO, and is corrected by small quantities of $\mathcal{O}(0.01)$ at NLO. The mechanism to get the particular scalar VEV alignments used is also presented. Phenomenologically, the mass spectrum is of normal hierarchy with $m_1=0$, and $\sum m_i$ and $|m_{ee}|$ are about $0.058eV$ and $0.003eV$ respectively.

11 pages, accepted for publication in PLB

References in corpus (9)

• The Unique Horizontal Symmetry of Leptons
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Global constraints on muon-neutrino non-standard interactions
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Status of Tri/Bi-Maximal Neutrino Mixing
• Minimal seesaw model with S_4 flavor symmetry
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry

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• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Understanding for flavor physics in the lepton sector
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• An $S_4$ model inspired from self-complementary neutrino mixing
• Low scale leptogenesis and $T{M}_1$ mixing in neutrinophillic two Higgs doublet model($\nu$2HDM) with S4 flavor symmetry
• Resonant leptogenesis and TM${}_1$ mixing in minimal Type-I seesaw model with S${}_4$ symmetry