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Family Symmetry and Neutrino Mixing
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Family Symmetry and Neutrino Mixing
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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 \nu_{\mu} - \nu_{\tau} mixing, and order-\lambda^3 \nu_e - \nu_{\mu} and \nu_e - \nu_{\tau} 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.
Forward citations
Cited by 2 Pith papers
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Maximal Abelian Flavor Symmetries
MAFS approximates 15 flavor observables in SU(5) using 5 ε_a parameters and in SO(10) using 3, while requiring large neutrino mixing from quark hierarchies and generating baryon asymmetry via leptogenesis.
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Maximal Abelian Flavor Symmetries
MAFS describes 15 flavor observables in SU(5) and SO(10) GUTs using 5 or 3 fitted small parameters at factor-of-two accuracy, implying large neutrino mixings and approximate leptogenesis without extra parameters in SU(5).
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