Suitability of A_4 as a Family Symmetry in Grand Unification

Abstract

In the recent successful applications of the non-Abelian discrete symmetry A_4 to the tribimaximal mixing of neutrinos, lepton doublets and singlets do not transform in the same way. It appears thus to be unsuitable as a family symmetry in grand unification. A simple resolution of this dilemma is proposed.

6 pages, no figure

References in corpus (1)

• A schematic model of neutrinos

Cited by in corpus (50)

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• Symmetry of Lepton Mixing
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• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• The Flavor Group Delta(6n^2)
• Predictive flavour symmetries of the neutrino mass matrix
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• A SUSY A4 model for fermion masses and mixings
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• The 3-3-1 model with S_4 flavor symmetry
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• Simple Finite Non-Abelian Flavor Groups
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Scotogenic $Z_2$ or $U(1{)}_D$ Model of Neutrino Mass with $\Delta (27)$ Symmetry
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Flavon Inflation
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Scalar dark matter and leptogenesis in the minimal scotogenic model
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
• Textures with two traceless submatrices of the neutrino mass matrix
• An A_5 Model of Four Lepton Generations
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Neutrino Mass Models: circa 2008
• A viable $A_4$ 3HDM theory of quark mass matrices
• A(4) Symmetry and Neutrinos
• Form Invariance and Symmetry in the Neutrino Mass Matrix
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Masses and Mixings in a Grand Unified Toy Model
• Quark and lepton mass matrices with $A_4$ family symmetry
• Cascade Textures and SUSY SO(10) GUT
• Phenomenology of one zero texture Yukawa matrix in a flavor symmetric scotogenic model
• Scotogenic $A_5\to A_4$ Dirac Neutrinos with Freeze-In Dark Matter
• Neutrino Oscillations in the Three Flavor Paradigm