Flavor S_4 times Z_2 symmetry and neutrino mixing

Abstract

We present a model of the lepton masses and flavor mixing based on the discrete group $S_4\times Z_2$. In this model, all the charged leptons and neutrinos are assigned to the $3_{\alpha }$ representation of $S_4$ in the Yamanouchi bases. The charged lepton and neutrino masses are mainly determined by the vacuum expectation value structures of the Higgs fields. A nearly tri-bimaximal lepton flavor mixing pattern, which is in agreement with the current experimental results, can be accommodated in our model. The neutrino mass spectrum takes the nearly degenerate pattern, and thus can be well tested in the future precise experiments.

arXiv comment16 Pages, 1 Figure, 2 Tables, revised version was published in Phys. Lett. B

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• S4 as a natural flavor symmetry for lepton mixing
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• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• The 3-3-1 model with S_4 flavor symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
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• Neutrino masses and mixing from S4 flavor twisting
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
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• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• On the finite subgroups of U(3) of order smaller than 512
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• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
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• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
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• Delta(54) Flavor Model for Leptons and Sleptons
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• The Minimal Seesaw Model at the TeV Scale
• An S4 model for quarks and leptons with maximal atmospheric angle
• Tri-bimaximal Mixing from Cascades
• Minimal seesaw model with S_4 flavor symmetry
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
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• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Renormalisation group improved leptogenesis in family symmetry models
• Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• The flavor problem and discrete symmetries
• Towards Minimal S4 Lepton Flavor Model
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Discrete flavor symmetry and minimal seesaw mechanism
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• S4 Flavor Model of Quarks and Leptons
• GIMPs from Extra Dimensions
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry
• Symmetryless Dark Matter
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• Cascade Textures and SUSY SO(10) GUT
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$