Testing Abelian Flavor Symmetries with Neutrino Parameters
Abstract
The experimental data on atmospheric and solar neutrinos are used to test the framework of Abelian horizontal gauge symmetries with only three light active neutrinos. We assume that the hierarchy in mass-squared splittings is not accidental and that the small breaking parameters are not considerably larger than 0.2. We find that the small angle MSW solution of the solar neutrino problem cannot be accommodated in this framework. In a large class of models, the large mixing angle MSW solution cannot be accommodated either. This leaves the vacuum oscillation solution as the favored one. These conclusions apply to any continuous Abelian symmetry, whether it is broken by a single parameter, as would be the case for an anomalous U(1), or by two parameters of opposite charges and equal magnitudes, as with a non anomalous gauge symmetry. They do not apply to discrete symmetries or to continuous ones that are broken into a discrete subgroup.Keywords
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