Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT

Abstract

We present a common explanation of the fermion mass hierarchy and the large lepton mixing angles in the context of a grand unified flavor and gauge theory (GUTF). Our starting point is a SU(3)xU(1) flavor symmetry and a SO(10) GUT, a basic ingredient of our theory which plays a major role is that two different breaking pattern of the flavor symmetry are at work. On one side, the dynamical breaking of SU(3)xU(1) flavor symmetry into U(2)xZ_3 explains why one family is much heavier than the others. On the other side, an explicit symmetry breaking of SU(3) into a discrete flavor symmetry leads to the observed tribimaximal mixing for the leptons. We write an explicit model where this discrete symmetry group is A4. Naturalness of the charged fermion mass hierarchy appears as a consequence of the continuous SU(3) flavor symmetry. Moreover, the same discrete A4-GUT invariant operators are the root of the large lepton mixing, small Cabibbo angle, and neutrino masses.

11 pages, uses package "axodraw", "graphicx"

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• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• The symmetry approach to quark and lepton masses and mixing
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Theory of the Neutrino Mass
• Theoretical Models of Neutrino Mixing: Recent Developments
• Slepton Non-Universality in the Flavor-Effective MSSM
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