Mass Splitting of Three Seesaw Neutrinos
Abstract
If a family symmetry exists so that all three neutrinos have equal Majorana masses (via the seesaw mechanism), then the breaking of this symmetry from charged-lepton masses (via two-loop double W exchange) implies m less than about 10-9m0. With the common mass m0 eV for hot dark matter, m2 10-10 eV2 is natural for vacuum solar neutrino oscillations.
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