$A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model

Abstract

The tetrahedron $A_4$ group has been widely used in studying neutrino mixing matrix. It provides a natural framework of model building for the tri-bimaximal mixing matrix. In this class of models, it is necessary to have two Higgs fields, $\chi$ and ${\chi }^{\prime }$, transforming under $A_4$ as 3 with one of them having vacuum expectation values for the three components to be equal and another having only one of the components to be non-zero. These specific vev structures require separating $\chi$ and ${\chi }^{\prime }$ from communicating with each other. The clash of the different vev structures for $\chi$ and ${\chi }^{\prime }$ is the so called sequestering problem. In this work, I show that it is possible to construct renormalizable supersymmetric models producing the tri-bimaximal neutrino mixing with no sequestering problem.

arXiv comment4 pages

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Cited by in corpus (30)

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• The Unique Horizontal Symmetry of Leptons
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• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• On the origin of neutrino flavour symmetry
• The 3-3-1 model with S_4 flavor symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• The 3-3-1 model with A_4 flavor symmetry
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Quark and Lepton Flavor Triality
• Neutrino Tribimaximal Mixing from A_4 Alone
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Non-Abelian Discrete Flavor Symmetries
• CP violation in neutrino mixing with $\delta =-\pi /2$ in $A_4$ Type-II seesaw model
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Neutrino Mass and Flavour Models
• Phenomenology of Discrete Flavour Symmetries
• Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector