The 331 model with right-handed neutrinos is reassessed 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 ℤ2 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 the tree level with the Z′ 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′ mass is obtained to include the bounds of PANDAX2017, XENON1T(2t.y) and LUX experiments.

中文翻译：

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331 模型中的 CP 违规和标量暗物质

重新评估具有右手中微子的 331 模型，以调查夸克扇区中的 CP 违规。在自发对称破缺后，得到粒子内容的质量和物理场。331 模型的费米子内容被扩大到包括具有已知电荷和在 TeV 尺度上定义的质量的奇异夸克。这些奇异夸克的存在通过与标准模型夸克的耦合引起了额外的 CP 违反，该标准模型的夸克由质量固定在 TeV 尺度的带电规范玻色子介导。一个额外的离散ℤ2331 模型中引入了对称性，以获得一个稳定的标量场，可以作为暗物质内容的候选者。新的标量场在树级别与Z'测量玻色子，作为暗物质入口。计算与标量场相关的遗迹密度以产生满足观察到的暗物质的溶液质量。暗物质质量参数空间上允许的区域与Z'获得的质量包括 PANDAX2017、XENON1T(2t.y) 和 LUX 实验的范围。