Gravitationally violated U(1) symmetry and neutrino anomalies

Joshipura, Anjan S. (1999) Gravitationally violated U(1) symmetry and neutrino anomalies Physical Review D - Particles, Fields, Gravitation and Cosmology, 60 (5). 053002_1-053002_5. ISSN 1550-7998

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The current searches for neutrino oscillations seem to suggest an approximate Le-Lμ-Lτ flavor symmetry. This symmetry implies a pair of degenerate neutrinos with a mass m0 and large leptonic mixing. We explore the possibility that gravitational interactions break this global symmetry. The Planck scale suppressed breaking of the Le-Lμ-Lτ symmetry is shown to lead to the right amount of splitting between the degenerate neutrinos needed in order to solve the solar neutrino problem. The common mass m0 of the pair can be identified with the atmospheric neutrino scale. A concrete model is proposed in which the smallness of m0 and the hierarchy in the solar and atmospheric neutrino scales get linked to hierarchies in the weak, grand unification, and Planck scales.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:67611
Deposited On:31 Oct 2011 05:27
Last Modified:31 Oct 2011 05:27

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