Naturally light invisible axion in models with large local discrete symmetries

Details Naturally light invisible axion in models with large local discrete symmetries Naturally light invisible axion in models with large local discrete symmetries

2002-11-07

arxiv.org/abs/hep-ph/0211107v2

Phys.Rev. D67 (2003) 095008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Some changes and a new reference added, 7 pages

Scientific paper

10.1103/PhysRevD.67.095008

We show that by introducing appropriate local $Z_N(N\geq13)$ symmetries in electroweak models it is possible to implement an automatic Peccei-Quinn symmetry keeping at the same time the axion protected against gravitational effects. Although we consider here only an extension of the standard model and a particular 3-3-1 model, the strategy can be used in any kind of electroweak model. An interesting feature of this 3-3-1 model is that if: {\it i)} we add right-handed neutrinos, {\it ii)} the conservation of the total lepton number, and {\it iii)} a $Z_2$ symmetry, the $Z_{13}$ and the chiral Peccei-Quinn $U(1)_{\rm PQ}$ are both accidental symmetries in the sense that they are not imposed on the Lagrangian but they are just the consequence of the particle content of the model, its gauge invariance, renormalizability and Lorentz invariance. In addition, this model has no domain wall problem.

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