Family symmetry, gravity, and the strong CP problem
Abstract
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 overlineθ induced by quantum gravitational effects. In a supersymmetric extension, the “μ-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 integ-generational mass hierarchy in such a context.
- Publication:
-
Physics Letters B
- Pub Date:
- February 1993
- DOI:
- 10.1016/0370-2693(93)91347-P
- arXiv:
- arXiv:hep-ph/9212219
- Bibcode:
- 1993PhLB..300..367B
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- BA-92-79, 14 pages, in LaTeX, no figures