The CP violation and scalar dark matter in a 331 model

Abstract

The 331 model with right-handed neutrinos is re-assessed to investigate the CP violation in the quark sector. After the spontaneous symmetry breaking, the masses and physical fields of the particle content are obtained. The fermions content of the 331 model is enlarged to include exotic quarks with known electric charge and with masses defined at the TeV scale. The existence of these exotic quarks induces extra CP violations via couplings with quarks of the Standard Model mediated by charged gauge boson with mass fixed at the TeV scale. An extra discrete $\mathbb{Z}_{2}$ symmetry is introduced in the 331 model to get a stable scalar field that can be a candidate to the dark matter content. The new scalar field interacts at tree level with the $Z^{\prime}$ gauge boson that works as a dark matter portal. The relic density associated with the scalar field is calculated to yield the solution mass that satisfies the observed dark matter. The region allowed on the parameter space of the dark matter mass versus $Z^{\prime}$ mass is obtained to include the bounds of PANDAX2017, XENON1T(2t.y) and LUX experiments.