The discovery of a particle that complies with the properties of the Higgs boson has opened an interesting era in particle physics. Although current measurements largely align with properties of this boson as predicted by the SM, experimental and theoretical uncertainties still leave room for additional particle content. An intriguing possibilities are new physics models with extended scalar sectors. These can be probed either in direct searches or indirectly via contributions to precision observables. Such sectors can also play a role in the discussion of cosmological considerations as e.g. electroweak phase transitions.
In this talk I will discuss several such models, some of which also allow for dark matter candidates. I will discuss current status and theoretical and experimental constraints as well as discovery prospects at current and future colliders