# Current status and future prospects of the singlet-doublet dark matter model with $CP$ violation

Abe, Tomohiro (Institute for Advanced Research, Nagoya University, Furo-cho Chikusa-ku, Nagoya, Aichi 464-8602, Japan) (Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Furo-cho Chikusa-ku, Nagoya, Aichi 464-8602, Japan) ; Sato, Ryosuke (Deutsches Elektronen-Synchrotron (DESY), Notkestraße 85, D-22607 Hamburg, Germany)

12 February 2019

Abstract: We discuss the singlet-doublet fermion dark matter model with $CP$-violation. In this model, the $CP$ violation generates a pseudoscalar interaction of dark matter with the standard model-Higgs boson. Thanks to the pseudoscalar 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 $O\left({10}^{-32}\right)\text{}\text{}e\text{}\mathrm{cm}$ in future.

Published in: Physical Review D 99 (2019)