Abstract
With the motivation of explaining the dark matter and achieving the electroweak baryogenesis via the spontaneous CP violation at high temperature, we propose a complex singlet scalar (S=χ+iηs2) extension of the two-Higgs-doublet model respecting a discrete dark CP symmetry: S→−S*. The dark CP symmetry guarantees χ to be a dark matter candidate on one hand and on the other hand allows ηs to have mixings with the pseudoscalars of the Higgs doublet fields, which play key roles in generating the CP violation sources needed by the electroweak baryogenesis at high temperature. The Universe undergoes multistep phase transitions, including a strongly first-order electroweak phase transition during which the baryon number is produced. At the present temperature, the observed vacuum is produced and the CP symmetry is restored so that the stringent electric dipole moment experimental bounds are satisfied. Considering relevant constraints, we study the simple scenario of mχ around the Higgs resonance region, and find that the dark matter relic abundance and the baryon asymmetry can be simultaneously explained. Finally, we briefly discuss the gravitational wave signatures at future space-based detectors and the LHC signatures. Published by the American Physical Society 2024
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