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Naturally light invisible axion and local Z_{13} times Z_3 symmetries

Alex G. Dias·V. Pleitez·M. D. Tonasse
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Abstract

We show that by imposing local $Z_{13}\otimes Z_3$ symmetries in an $SU(2)\otimes U(1)$ electroweak model we can implement an invisible axion in such a way that (i) the Peccei-Quinn symmetry is an automatic symmetry of the classical Lagrangian; and (ii) the axion is protected from semi classical gravitational effects. In order to be able to implement such a large discrete symmetry, and at the same time allow a general mixing in each charge sector, we introduce right-handed neutrinos and enlarge the scalar sector of the model. The domain wall problem is briefly considered.

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Alex G. Dias, V. Pleitez, M. D. Tonasse. 2004-04-15. Naturally light invisible axion and local Z_{13} times Z_3 symmetries. https://doi.org/10.1103/physrevd.69.015007

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