Open Questions in S3-Symmetric Three-Higgs-Doublet Models

Abstract:
The main focus of the research is to check for possible Higgs-like dark matter candidates within three-Higgs-doublet models with an underlying S3 symmetry. In our framework the stability of the dark matter sector results from a Z2 symmetry which survives the breaking of S3.

We catalogue all possible dark matter models within this framework. Furthermore, two models (with and without CP violation in the Higgs potential) are explored based on theoretical and experimental constraints.

After applying a number of successive checks over the parameter space we found different viable dark matter mass regions within the range of [6, 90] GeV depending on the model. Further work is under way along these lines.