Gravitationally violated U(1) symmetry and neutrino anomalies

Abstract

The current searches for neutrino oscillations seem to suggest an approximate $L_e-L_\m-L_τ$ flavor symmetry. This symmetry implies a pair of degenerate neutrinos with mass $m_0$ and large leptonic mixing. We explore the possibility that gravitational interactions break this global symmetry. The Planck scale suppressed breaking of the $L_e-L_\m-L_τ$ symmetry is shown to lead to the right amount of splitting among the degenerate neutrinos needed in order to solve the solar neutrino problem. The common mass $m_0$ of the pair can be identified with the atmospheric neutrino scale. A concrete model is proposed in which smallness of $m_0$ and hierarchy in the solar and atmospheric neutrino scales get linked to hierarchies in the weak, grand unification and the Planck scales.

12 pages, LATEX

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Cited by in corpus (16)

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• Constraints on flavour-dependent long-range forces from atmospheric neutrino observations at Super-Kamiokande
• Sneutrino Vacuum Expectation Values and Neutrino Anomalies Through Trilinear R-parity Violation
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Universal 2-3 symmetry
• Radiatively broken symmetries of nonhierarchical neutrinos
• Predictive Framework with a Pair of Degenerate Neutrinos at a high scale
• Phenomenology of Pseudo Dirac Neutrinos
• Radiative origin of solar scale and U_{e3}
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• Quark-Lepton universality and large leptonic mixing
• Gravity Effects on Neutrino Masses in Split Supersymmetry
• Implications of partially degenerate neutrinos at a high scale in the light of KamLAND and WMAP