Tripartite Neutrino Mass Matrix

Abstract

The 3 X 3 Majorana neutrino mass matrix is written as a sum of 3 terms, i.e. M_nu = M_A + M_B + M_C, where M_A is proportional to the identity matrix and M_B and M_C are invariant under different Z_3 transformations. This M_nu is very suitable for understanding atmospheric and solar neutrino oscillations, with sin^2 (2 theta_atm) and tan^2 (theta_sol) fixed at 1 and 0.5 respectively, in excellent agreement with present data. It has in fact been proposed before, but only as an ansatz. This paper uncovers its underlying symmetry, thus allowing a complete theory of leptons and quarks to be constructed.

9 pages, no figure

References in corpus (4)

• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Form Invariance of the Neutrino Mass Matrix
• New "Square Root" Model of Lepton Family Cyclic Symmetry

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• Flavor S_4 times Z_2 symmetry and neutrino mixing
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• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
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• Textures with two traceless submatrices of the neutrino mass matrix
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• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• The (Z_2)^3 symmetry of the non-tri-bimaximal pattern for the neutrino mass matrix
• Lepton Family Symmetry and Neutrino Mass Matrix
• Form Invariance and Symmetry in the Neutrino Mass Matrix
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• (Z_2)^3 Symmetry of the Tripartite Model
• "Hidden" O(2) and SO(2) Symmetry in Lepton Mixing
• Neutrino masses and mixing from hierarchy and symmetry
• The U(1) symmetry of the non-tribimaximal pattern in the degenerate mass spectrum case of the neutrino mass matrix
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Investigation of a kind of neutrino mass matrix