Four Light Neutrinos in Singular Seesaw Mechanism with Abelian Flavor Symmetry

Abstract

The four light neutrino scenario, which explains the atmosphere, solar and LSND neutrino experiments, is studied in the framework of the seesaw mechanism. By taking both the Dirac and Majorana mass matrix of neutrinos to be singular, the four neutrino mass spectrum consisting of two almost degenerate pairs separated by a mass gap $\sim 1$ eV is naturally generated. Moreover the right-handed neutrino Majorana mass can be at $\sim 10^{14}$ GeV scale unlike in the usual singular seesaw mechanism. Abelian flavor symmetry is used to produce the required neutrino mass pattern. A specific example of the flavor charge assignment is provided to show that maximal mixings between the ${\nu }_{\mu }-{\nu }_{\tau }$ and ${\nu }_e-{\nu }_s$ are respectively attributed to the atmosphere and solar neutrino anomalies while small mixing between two pairs to the LSND results. The implication in the other fermion masses is also discussed.

Firnal version to appear in PRD

References in corpus (18)

• Evidence for oscillation of atmospheric neutrinos
• Where do we stand with solar neutrino oscillations?
• Predictions from an Anomalous U(1) Model of Yukawa Hierarchies
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• A Minimality Condition and Atmospheric Neutrino Oscillations
• Quark Lepton Mass Hierarchies and the Baryon Asymmetry
• Family Symmetry and Neutrino Mixing
• Neutrino Mass Spectrum with ${\nu }_{\mu }$ $\to$ ${\nu }_s$ Oscillations of Atmospheric Neutrinos
• Supersymmetric Neutrino Masses and Mixing with R-parity Violation
• Variations on Four-Neutrino Oscillations
• A See-Saw Model for Atmospheric and Solar Neutrino Oscillations
• Large Mixing and Large Hierarchy Between Neutrinos with Abelian Flavor Symmetries
• Radiative neutrino mass matrix for three active plus one sterile species
• Three Neutrino $\Delta m^2$ scales and Singular Seesaw Mechanism
• "Just So" Neutrino Oscillations Are Back
• Atmospheric and Solar Neutrino Oscillations in \nuMSSM and Beyond
• Atmospheric neutrino oscillations and maximal nu_mu-nu_tau mixing in unified models
• R_F Parity and Almost Massless Up Quark

Cited by in corpus (13)

• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Four--Neutrino Oscillation Solutions of the Solar Neutrino Problem
• Solar and Atmospheric Four-Neutrino Oscillations
• Matter Effects in Four-Neutrino Mixing
• Constraining Mass Spectra with Sterile Neutrinos from Neutrinoless Double Beta Decay, Tritium Beta Decay and Cosmology
• Neutrinoless double-beta decay with three or four neutrino mixing
• Prospects of light sterile neutrino searches in long-baseline neutrino oscillations
• The minimal adjoint-SU(5)xZ_4 GUT model
• The Type-II Singular See-Saw Mechanism
• Topcolor-Assisted Supersymmetry
• Scenario of Light Sterile Neutrinos with A Heavy Tau Neutrino in A Supersymmetric Model
• A Model for Neutrino Warm Dark Matter and Neutrino Oscillations