Three Neutrino $\Delta m^2$ scales and Singular Seesaw Mechanism

Abstract

It is shown that the singular seesaw mechanism can simultaneously explain all the existing data supporting nonzero neutrino masses and mixing. The three mass-squared differences that are needed to accommodate the atmospheric neutrino data (through ${\nu }_{\mu }-{\nu }_s$ oscillation), the solar neutrino data via MSW mechanism (through ${\nu }_e-{\nu }_{\tau }$ oscillation), and the positive result of ${\nu }_{\mu }-{\nu }_e$ oscillation from LSND can be generated by this mechanism, whereas the vacuum oscillation solution to the solar neutrino problem is disfavored. We find that the electron and tau neutrino masses are of order $10^{-3}$ eV, and the muon neutrino and a sterile neutrino are almost maximally mixed to give a mass of order 1 eV. Two heavy sterile neutrinos have a mass of order 1 keV which can be obtained by the double seesaw mechanism with an intermediate mass scale $\sim 10^5$ GeV. A possible origin of such a scale is discussed.

Revtex, 7 pages with 1 epsfig (uuencoded)

References in corpus (10)

• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Cosmology of Supersymmetric Models with Low-energy Gauge Mediation
• Solutions to Solar Neutrino Anomaly
• Neutrino Mass Spectrum with ${\nu }_{\mu }$ $\to$ ${\nu }_s$ Oscillations of Atmospheric Neutrinos
• Signals for gauge-mediated supersymmetry breaking models at the CERN LEP2 collider
• Neutral-to-charged current events ratio in atmospheric neutrinos and neutrino oscillations
• A new signature for gauge mediated supersymmetry breaking
• Cosmological Constraint on the String Dilaton in Gauge-mediated Supersymmetry Breaking Theories
• Probing Gauge-Mediated Supersymmetry Breaking Through Polarized Electron Beams in an $e^{+}{e}^{-}$ Collider
• An alternative SU(4) x SU(2)L x SU(2)R model

Cited by in corpus (26)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Phenomenology of Neutrino Oscillations
• Supersymmetric Neutrino Masses and Mixing with R-parity Violation
• Four--Neutrino Oscillation Solutions of the Solar Neutrino Problem
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: II. Mixing of Four Neutrinos
• Pseudo-Dirac Neutrino Scenario: Cosmic Neutrinos at Neutrino Telescopes
• Solar and Atmospheric Four-Neutrino Oscillations
• Connecting bimaximal neutrino mixing to a light sterile neutrino
• Matter Effects in Four-Neutrino Mixing
• Quark and Lepton Flavor Mixings in the SU(5) Grand Unification Theory
• Composite model with neutrino large mixing
• Constraining Mass Spectra with Sterile Neutrinos from Neutrinoless Double Beta Decay, Tritium Beta Decay and Cosmology
• Probing relic neutrino decays with 21 cm cosmology
• See-saw Mechanisms for Dirac and Majorana Neutrino Masses
• Neutrinoless double-beta decay with three or four neutrino mixing
• Search for CP Violation at a Neutrino Factory in a Four-Neutrino Model
• U(2) and Maximal Mixing of nu_{mu}
• Four Light Neutrinos in Singular Seesaw Mechanism with Abelian Flavor Symmetry
• Neutrinoless double beta decay in four-neutrino models
• (3+2) Neutrino Scheme From A Singular Double See-Saw Mechanism
• The minimal adjoint-SU(5)xZ_4 GUT model
• The Type-II Singular See-Saw Mechanism
• A WDM model for the evolution of galactic halos
• Scenario of Light Sterile Neutrinos with A Heavy Tau Neutrino in A Supersymmetric Model
• See-saw mechanism and four light neutrino state
• A Model for Neutrino Warm Dark Matter and Neutrino Oscillations