Pseudo-Goldstone Dark Matter Model with CP violation

Abstract

We consider an explicitly CP-violating model with two Higgs doublets and one complex singlet scalar. The singlet $S$ is charged under a global $\mathrm{U}(1)$ symmetry which is softly broken by a mass term $μ^2 S^2+\hc$. Imaginary part of $S$ is a stable dark matter candidate which at the tree level, in the limit of zero momentum transfer, decouples from nucleons naturally satisfying all existing direct detection limits on dark matter scattering cross-section. It is explicitly shown that within this framework in the alignment limit CP-violation is still present in contrast to a popular version of a 2-Higgs doublet model with softly broken $Z_2$ symmetry. In this context, we investigate dark matter implications of the model both with and without CP violation in the scalar sector. In particular, dark matter relic abundance is calculated and the possibility for its indirect detection is discussed.

41 pages, 16 figures and 2 tables

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• Dark Matter Candidates from Particle Physics and Methods of Detection
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data
• Aligned CP-violating Higgs sector canceling the electric dipole moment
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Cited by in corpus (1)

• Ultraviolet completion of pseudo-Nambu-Goldstone dark matter with a hidden U(1) gauge symmetry