Natural Multi-Higgs Model with Dark Matter and CP Violation

TL;DR

This paper extends the Inert Doublet Model to include CP violation with two non-inert doublets, identifying dark matter candidates and exploring parameter space consistent with cosmological and collider constraints, while also addressing naturality bounds.

Contribution

It introduces a multi-Higgs extension allowing CP violation and dark matter, analyzing parameter space under experimental and theoretical constraints, and discusses implications for model naturality.

Findings

Dark matter candidate consistent with WMAP data

Allowed parameter space with CP violation

Potential to raise model cut-off to 2-3 TeV

Abstract

We explore an extension of the Inert Doublet Model which allows also for CP violation in the Higgs sector. This necessitates two non-inert doublets. The lightest neutral scalar of the inert doublet is a candidate for dark matter. Scanning over parameters we preserve the abundance of the dark matter in agreement with the WMAP data. We also impose all relevant collider and theoretical constraints to determine the allowed parameter space for which both the dark matter is appropriate and CP is violated. In addition we find regions where the cut-off of the model originating from naturality arguments can be substantially lifted compared to its Standard Model value, reaching 2-3 TeV.