S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT

Abstract

We have presented a $S_4$ flavor model to unify quarks and leptons in the framework of the SU(5) GUT. Three generations of $\bar{5}$-plets in SU(5) are assigned $3_1$ of $S_4$ while the first and the second generations of 10-plets in SU(5) are assigned to be 2 of $S_4$, and the third generation of 10-plet is to be $1_1$ of $S_4$. The right-handed neutrinos are also assigned 2 for the first and second generations and $1_1$ for the third generation, respectively. Taking vacuum alignments of relevant gauge singlet scalars, we predict the quark mixing as well as the tri-bimaximal mixing of neutrino flavors. Especially, the Cabbibo angle is predicted to be $15^{\circ }$ in the limit of the vacuum alignment. We can improve the model to predict observed CKM mixing angles as well as the non-vanishing $U_{e3}$ of the neutrino flavor mixing.

20 pages, 1 figure, minor modifications

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• Phenomenological Consequences of See-Saw in S4 Based Models
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
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• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
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• The 3-3-1 model with S_4 flavor symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• The S_3 flavor symmetry in 3-3-1 models
• A new family symmetry for SO(10) GUTs
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Neutrino masses and mixing from S4 flavor twisting
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• An SO(10) Grand Unified Theory of Flavor
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Neutrino Mixings and the S4 Discrete Flavour Symmetry
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Tri-Bimaximal lepton mixing with A4 semidirect product Z2 x Z2 x Z2
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• On the finite subgroups of U(3) of order smaller than 512
• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A See-Saw $S_4$ model for fermion masses and mixings
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Flavored Orbifold GUT - an SO(10) x S4 model
• Discrete symmetries and models of flavor mixing
• 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
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• An S4 model for quarks and leptons with maximal atmospheric angle
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Minimal seesaw model with S_4 flavor symmetry
• Charged Lepton Flavour Violating Radiative Decays ${\ell }_i\to {\ell }_j+\gamma$ in See-Saw Models with $A_4$ Symmetry
• Super Flavorsymmetry with Multiple Higgs Doublets
• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Quark mixing in the discrete dark matter model
• Quark/lepton mass and mixing in S_3 invariant model and CP-violation of neutrino
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Towards Minimal S4 Lepton Flavor Model
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry
• Strong coupling, discrete symmetry and flavour
• Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT
• Fermion masses and mixing with tri-bimaximal in SO(10) with type-I seesaw
• Phenomenology of Discrete Flavour Symmetries
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• Neutrino mass and grand unification of flavor
• Cascade Textures and SUSY SO(10) GUT
• Unification based on the mysterious cubic-structure grouping of quarks and leptons