Yukawa Textures and Anomalies

Abstract

We augment the Minimal Supersymmetric Standard Model with a gauged family-dependent $U(1)$ to reproduce Yukawa textures compatible with experiment. In the simplest model with one extra chiral electroweak singlet field, acceptable textures require this $U(1)$ to be anomalous. The cancellation of its anomalies by a generic Green-Schwarz mechanism requires ${\sin }^2{\theta }_w=3/8$ at the string scale, suggesting a superstring origin for the standard model.

17 pages; macros included

References in corpus (2)

• Fermion masses and mixing angles from gauge symmetries
• A Systematic SO(10) Operator Analysis for Fermion Masses

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