Phenomenology of Pseudo Dirac Neutrinos

Abstract

We formulate general conditions on $3\times 3$ neutrino mass matrices under which a degenerate pair of neutrinos at a high scale would split at low scale by radiative corrections involving only the standard model fields. This generalizes the original observations of Wolfenstein on pseudo Dirac neutrinos to three generations. A specific model involving partially broken discrete symmetry and solving the solar and atmospheric anomalies is proposed. The symmetry pattern of the model naturally generates two large angles one of which can account for the large angle MSW solution to the solar neutrino problem.

15 pages LATEX

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• Quasi Dirac neutrino oscillations
• Large mixing angles for neutrinos from infrared fixed points
• Quasi-Dirac neutrino oscillations at DUNE and JUNO
• Predictive Framework with a Pair of Degenerate Neutrinos at a high scale
• A Model for Pseudo-Dirac Neutrinos: Leptogenesis and Ultra-High Energy Neutrinos
• Radiative origin of solar scale and U_{e3}
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• Pseudo-Dirac Neutrinos and Relic Neutrino Matter Effect on the High-energy Neutrino Flavor Composition
• Implications of partially degenerate neutrinos at a high scale in the light of KamLAND and WMAP
• Cosmogenic neutrinos as probes of new physics
• Status and Perspectives of Neutrino Physics