Consequences of an Abelian Family Symmetry

Details Consequences of an Abelian Family Symmetry Consequences of an Abelian Family Symmetry

1995-06-13

arxiv.org/abs/hep-ph/9506319v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, Macros included. Contribution to the 25th Anniversary Volume, Centre de Recherches Math\'ematiques, Universit\'e de

Scientific paper

The addition of an Abelian family symmetry to the Minimal Supersymmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous. Green-Schwarz compensation of its anomalies requires the electroweak mixing angle to be $\sin^2\theta_w=3/8$ at the string scale, without any assumed GUT structure, suggesting a superstring origin for the standard model. The analysis is extended to neutrino masses and the lepton mixing matrix.

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