Texture of a Four-Neutrino Mass Matrix

Abstract

We propose a simple texture of the neutrino mass matrix with one sterile neutrino along with the three standard ones. It gives maximal mixing angles for ${\nu }_e\to {\nu }_S$ and ${\nu }_{\mu }\to {\nu }_{\tau }$ oscillations or vice versa. Thus with only four parameters, this mass matrix can explain the solar neutrino anomaly, atmospheric neutrino anomaly, LSND result and the hot dark matter of the universe, while satisfying all other Laboratory constraints. Depending on the choice of parameters, one can get the vacuum oscillation or the large angle MSW solution of the solar neutrino anomaly.

11 pages latex file; Revised version (to be published in Phys. Lett. B)

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• 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
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• L_e + L_μ- L_τ- L_s Symmetry and a Mixed 2+2 Scenario for Neutrino Oscillations
• Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle
• Neutrino mixing schemes and neutrinoless double beta decay
• Can R-parity violation explain the LSND data as well?
• A texture of neutrino mass matrix in view of recent neutrino experimental results
• See-saw mechanism and four light neutrino state
• The eV-Scale Sterile Neutrino and Neutrinoless Double Beta Decay