Family Symmetry, Gravity, and the Strong CP Problem

Details Family Symmetry, Gravity, and the Strong CP Problem Family Symmetry, Gravity, and the Strong CP Problem

1992-12-04

arxiv.org/abs/hep-ph/9212219v1

Phys.Lett.B300:367-372,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

BA-92-79, 14 pages, in LaTeX, no figures

Scientific paper

10.1016/0370-2693(93)91347-P

We show how in a class of models Peccei--Quinn symmetry can be realized as an automatic consequence of a gauged $U(1)$ family symmetry. These models provide a solution to the strong CP problem either via a massless $u$--quark or via the DFSZ invisible axion. The local family symmetry protects against potentially large corrections to $\overline{\theta} $ induced by quantum gravitational effects. In a supersymmetric extension, the `$\mu$--problem' is shown to have a natural solution in the context of gravitationally induced operators. We also present a plausible mechanism which can explain the inter--generational mass hierarchy in such a context.

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