The discovery of the Higgs boson at the LHC completed the Standard Model and marks a tremendous success for particle physics. At the same time, we still do not have a dynamical understanding of how the Higgs potential is generated and stabilized at the electroweak scale. Composite Higgs models provide a possible answer. In this talk, I discuss composite Higgs models, possible underlying models containing a composite Higgs and their implications for cosmology and particle physics, with an emphasis on current and future collider searches.
