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Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model

Alex G. Dias·C. A. de S. Pires·P. S. Rodrigues da Silva
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Abstract

We show that Peccei-Quinn and lepton number symmetries can be a natural outcome in a 3-3-1 model with right-handed neutrinos after imposing a Z_11 x Z_2 symmetry. This symmetry is suitably accommodated in this model when we augmented its spectrum by including merely one singlet scalar field. We work out the breaking of the Peccei-Quinn symmetry, yielding the axion, and study the phenomenological consequences. The main result of this work is that the solution to the strong CP problem can be implemented in a natural way, implying an invisible axion phenomenologically unconstrained, free of domain wall formation and constituting a good candidate for the cold dark matter.

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Alex G. Dias, C. A. de S. Pires, P. S. Rodrigues da Silva. 2003-09-05. Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model. https://doi.org/10.1103/physrevd.68.115009

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