Constraints on the Parameter Space in an Inert Doublet Model with two Active Doublets

TL;DR

This paper explores a three Higgs doublet model with an inert scalar as a dark matter candidate, analyzing theoretical and experimental constraints, and assessing collider and direct detection prospects.

Contribution

It introduces a detailed analysis of a three Higgs doublet model with an inert scalar, including constraints and collider signatures, expanding understanding of dark matter models.

Findings

Model remains viable under current experimental constraints.

Projected direct detection sensitivities will significantly restrict the parameter space.

Collider signatures like mono-jet, mono Z, and mono Higgs are consistent with current LHC data.

Abstract

We study a three Higgs doublet model where one doublet is inert and the other two doublets are active. Flavor changing neutral currents are avoided at tree-level by imposing a softly broken $Z'_2$ symmetry and we consider type I and type II Yukawa structures. The lightest inert scalar is a viable Dark Matter (DM) candidate. A numerical scan of the free parameters is performed taking into account theoretical constraints such as positivity of the scalar potential and unitarity of $2 \rightarrow 2$ scattering amplitudes. The model is further constrained by experimental results such as $B$ physics lower limits on charged Higgs masses, Electroweak Precision Observables, LEP II, LHC Higgs measurements, Planck measurement of the DM relic abundance and WIMP direct searches by the LUX and XENON1T experiments. The model predictions for mono-jet, mono Z and mono Higgs final states are studied and tested against current LHC data and we find the model to be allowed. We also discuss the effects of abandoning the "dark democracy" assumption common in studies of inert models. Projected sensitivities of direct detection experiments will leave only a tiny window in the DM mass versus coupling plane that is compliant with relic density bounds.