Consequences of an Abelian Family Symmetry
Abstract
Description
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 $\sin^2θ_w=3/8$ 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.
17 pages, Macros included. Contribution to the 25th Anniversary Volume, Centre de Recherches Mathématiques, Université de Montréal
17 pages, Macros included. Contribution to the 25th Anniversary Volume, Centre de Recherches Mathématiques, Université de Montréal