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arXiv · hep-ph/9807228

Family Symmetry and Neutrino Mixing

John K. Elwood·Nikolaos Irges·Pierre Ramond
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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.

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John K. Elwood, Nikolaos Irges, Pierre Ramond. 1998-11-12. Family Symmetry and Neutrino Mixing. https://doi.org/10.1103/physrevlett.81.5064

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