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Family Symmetry, Gravity, and the Strong CP Problem
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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 $\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.
Forward citations
Cited by 3 Pith papers
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Gravitational Wave Imprints of a High-Quality Axion and the Origin of Flavor Hierarchies
Gauged U(1)_F flavor symmetries shield the axion from quantum gravity corrections, yielding unit domain wall number and a plateau-valley GW spectrum from flavonic and axionic strings as a probe of flavored axion dark matter.
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Flavor phenomenology of light dark particles
Review surveying limits and prospects for flavor-violating decays of light axion-like particles, highlighting complementarity of lab, astro, and cosmo probes up to 10^12 GeV scales.
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Axion searches at colliders
Review and tutorial on collider searches for axions and ALPs, with a simplified reproduction of the Belle II photophilic ALP search.
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