Pattern of the Approximate Mass Degeneracy of Majorana Neutrinos

Abstract

In view of the recently reported evidence for a nonzero Majorana mass of the electron neutrino, together with the established phenomena of atmospheric and solar neutrino oscillations, the case of three nearly mass-degenerate Majorana neutrinos is now a distinct possibility. I show in this paper how a natural pattern of symmetry breaking in the recently proposed $A_4$ model of Majorana neutrino masses can accommodate the data on neutrino oscillations, resulting in the predictions ${\sin }^{2}2{\theta }_{atm}=1$ and ${\sin }^{2}2{\theta }_{sol}=2/3$.

8 pages, no figure

References in corpus (6)

• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Constraints on Neutrino Oscillations Using 1258 Days of Super-Kamiokande Solar Neutrino Data
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Evidence for Neutrinoless Double Beta Decay
• Implications of observed neutrinoless double beta decay

Cited by in corpus (29)

• The Search for Heavy Majorana Neutrinos
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Flavour physics of leptons and dipole moments
• A_4 Symmetry and Neutrinos with Very Different Masses
• The Unique Horizontal Symmetry of Leptons
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Nonzero theta(13) for neutrino mixing in the context of A(4) symmetry
• The All-Purpose Neutrino Mass Matrix
• Upper Bounds on Lepton-number Violating Processes
• Non-Abelian Discrete Symmetries and Neutrino Masses: Two Examples
• Status of Evidence for Neutrinoless Double Beta Decay
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Form Invariance of the Neutrino Mass Matrix
• Phenomenology in the Higgs Triplet Model with the A_4 Symmetry
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Phenomenology in the Zee Model with the A_4 Symmetry
• Relating neutrino masses and mixings by discrete symmetries
• Neutrino masses from beta decays after KamLAND and WMAP (Updated including the NC enhanced SNO data)
• Non-Abelian Discrete Flavor Symmetries
• Operator Analysis of Neutrinoless Double Beta Decay
• New "Square Root" Model of Lepton Family Cyclic Symmetry
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• Neutrinoless double beta decay with scalar bilinears
• Right-handed Majorana Neutrino Mass Matrices for Generating Bimaximal Mixings in Degenerate and Inverted Models of Neutrinos
• $A_4$-based model with linear seesaw scheme for lepton mass and mixing
• A potential scenario for the Majorana neutrino detection at future lepton colliders
• Supersymmetric Axion-Neutrino Merger