$A_4$ 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.

4 pages

Cited by in corpus (15)

• Flavour physics of leptons and dipole moments
• The Unique Horizontal Symmetry of Leptons
• 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
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Non-Abelian Discrete Flavor Symmetries
• Phenomenology of Discrete Flavour Symmetries
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector