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

## TL;DR

This paper analyzes a singlet-doublet fermion dark matter model with CP-violation, highlighting its ability to evade direct detection constraints while predicting observable signals in indirect detection and EDM experiments, and assessing its parameter space.

## Contribution

It provides a comprehensive study of the CP-violating singlet-doublet dark matter model, exploring experimental constraints and future detection prospects.

## Key findings

- Pseudo-scalar interactions help evade direct detection constraints.
- Heavy dark matter is disfavored by combined constraints.
- Future electron EDM measurements could probe the Higgs funnel region.

## 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.