New "Square Root" Model of Lepton Family Cyclic Symmetry

Abstract

Following the newly formulated notion of form invariance of the neutrino mass matrix, a complete model of leptons is constructed. It is based on a specific unitary 3 X 3 matrix U in family space, such that U^2 is the simple discrete symmetry nu_e to -nu_e, nu_mu to nu_tau. Thus U also generates the cyclic group Z_4. The charged-lepton mass matrix is nearly diagonal while the neutrino mass matrix is of the form suitable for explaining maximal (large) mixing in atmospheric (solar) neutrino oscillations in the context of three nearly degenerate neutrino masses. Observable lepton flavor violation is predicted. Quarks may be treated in the same way as the charged leptons.

arXiv comment10 pages, no figure

References in corpus (18)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• New Limit for the Family-Number Non-conserving Decay mu+ to e+_gamma
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• Evidence for Neutrinoless Double Beta Decay
• Final results from the Palo Verde Neutrino Oscillation Experiment
• Naturally Small Seesaw Neutrino Mass with No New Physics Beyond the TeV Scale
• Comment on "Evidence for Neutrinoless Double Beta Decay"
• Plato's Fire and the Neutrino Mass Matrix
• The All-Purpose Neutrino Mass Matrix
• Quark Mass Matrices in the A_4 Model
• Combining first KamLAND results with solar neutrino data
• Form Invariance of the Neutrino Mass Matrix
• Pattern of the Approximate Mass Degeneracy of Majorana Neutrinos

Cited by in corpus (15)

• A_4 Symmetry and Neutrinos with Very Different Masses
• Neutrino Mass Matrix from S_4 Symmetry
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
• Hybrid Textures of Neutrinos
• l W nu production at CLIC: a window to TeV scale non-decoupled neutrinos
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• S_3 Flavor Symmetry and Leptogenesis
• Tripartite Neutrino Mass Matrix
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Low scale gravity as the source of neutrino masses?
• Double Suppression of FCNCs in Supersymmetric Models
• Form Invariance and Symmetry in the Neutrino Mass Matrix
• The U(1) symmetry of the non-tribimaximal pattern in the degenerate mass spectrum case of the neutrino mass matrix