Family Symmetry and Neutrino Mixing

Abstract

The observed quark hierarchies suggest a simple family symmetry. Generalized to leptons through grand-unified quantum numbers, it produces a neutrino mixing matrix with order-one ν_μ - ν_τ mixing, and order-λ^3 ν_e - ν_μ and ν_e - ν_τ mixings. The intrafamily hierarchy and observed neutrino mass differences together require this symmetry to be anomalous, suggesting through the Green-Schwarz mechanism a string or M-theory origin for the symmetry.

9 pages, no figures, accepted by Phys. Rev. Letters

References in corpus (2)

• Supersymmetric model of quasi-degenerate neutrinos
• A Guide to Flat Direction Analysis in Anomalous U(1) Models

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