We investigate a the constraints and phenomenology of a three Higgs doublet model (3HDM) with a Formula: see text symmetry, featuring two inert scalar doublets that give rise to a two-component dark matter (DM) scenario. We analyze the model’s vacuum structure, exploring the competition between different symmetry-breaking minima, and subject it to comprehensive theoretical and current experimental constraints. Our analysis reveals previously unexplored regions of parameter space with viable dark matter candidates. Notably, we identify scenarios where both DM particles contribute comparably to the observed relic density, offering distinctive experimental signatures that could guide future searches.
Romão et al. (Wed,) studied this question.