Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry

Abstract

We construct a supersymmetric model based on $T^{\prime }\otimes Z_3\otimes Z_9$ flavor symmetry. At the leading order, the charged lepton mass matrix is not diagonal, $T^{\prime }$ is broken completely, and the hierarchy in the charged lepton masses is generated naturally. Nearly tri-bimaximal mixing is predicted, subleading effects induce corrections of order ${\lambda }^2$, where $\lambda$ is the Cabibbo angle. Both the up quark and down quark mass matrices textures of the well-known U(2) flavor theory are produced at the leading order, realistic hierarchies in quark masses and CKM matrix elements are obtained. The vacuum alignment and subleading corrections are discussed in detail.

31 pages

References in corpus (8)

• Updated Values of Running Quark and Lepton Masses
• A model for fermion masses and lepton mixing in SO(10) x A4
• Unification and Fermion Mass Structure
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• Neutrino mixing from the double tetrahedral group T^{\prime}
• A_4 model for the quark mass matrices

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