Abstract
We discuss the singlet-doublet fermion dark matter model with CP-violation. In this model, the CP-violation generates a pseudo-scalar interaction of dark matter with the SM-Higgs boson. Thanks to the pseudo-scalar interaction, the model can evade the strong constraint from the dark matter direct detection experiments while keeping the success of the thermal relic scenario. The CP-violation also predicts signals in dark matter indirect detection experiments and electric dipole moments (EDM) that can be as large as the current upper bound. We investigate the constraints and prospects of the direct detection experiments, the indirect detection experiment, and the electron EDM. We also investigate the stability of the Higgs potential. Combining these observables, we find that heavy dark matter is disfavored. We also find it is possible to probe the Higgs funnel region by the combination of the direct detection experiments and the measurements of the electron EDM if experiments for the electron EDM reach to $O(10^{ -32})$ e cm in future.
Highlights
The thermal relic scenario is an attractive scenario to explain the origin of dark matter (DM)
The DM annihilation processes with the s-channel exchange of the Higgs boson with the pseudoscalar interaction are s wave, and its cross section at low temperature is not suppressed by powers of velocity
The scalar sector of the model is the same as the standard model (SM) and does not contain pseudoscalar fields, the model predicts the pseudoscalar interaction of the DM with the SM Higgs boson because of the CP violation in the dark sector
Summary
The thermal relic scenario is an attractive scenario to explain the origin of dark matter (DM). Since the nonrelativistic DM-nucleon scattering cross section with this interaction is highly suppressed by the relative velocity between the DM and the nucleon, we can avoid the constraints from the direct detection experiments while keeping the amount of the relic abundance [5]. Since the constraints from the direct detection experiments and the measurements of the eEDM are strong enough to probe the model, it is worth studying the correlation among the eEDM and other observables, such as the DM-nucleon scattering cross section, to see if the model provides a viable DM candidate. While the pseudoscalar interaction of the DM with the Higgs boson is essential in the singlet-doublet model to avoid the strong constraint from the direct detection experiments, it can make the Higgs potential unstable.
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