S4 Flavor Model of Quarks and Leptons

Abstract

We present an $S_4$ 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 $S_4$. 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.

11 pages, talked at the 16th Yukawa International Seminar, Particle Physics beyond the Standard Model

References in corpus (11)

• The Unique Horizontal Symmetry of Leptons
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• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
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• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• A_4 model for the quark mass matrices
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model

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• On the finite subgroups of U(3) of order smaller than 512
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• Flavored Orbifold GUT - an SO(10) x S4 model
• Quark mixing sum rules and the right unitarity triangle
• An S4 model for quarks and leptons with maximal atmospheric angle
• New Aspects of Flavour Model Building in Supersymmetric Grand Unification
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$