Higgs as a tool for new physics: current status and future facilities

The Higgs boson is a crucial tool for exploring the nature of electroweak symmetry breaking.
The Standard Model of particle physics predicts the Higgs boson’s couplings to fermions and gauge bosons and the verification of these predictions is a crucial task for the future. We will review collider proposals which are focused on exploration of the Higgs physics. The HL-LHC and a HE-LHC will make measurements of couplings to gauge bosons and 3rd generation fermions (and the charm and ) at the 2-5% level, with the major gain in precision coming from high luminosity. Lepton colliders machines such as ILC, CLIC, FCC-ee, CepC, muon Higgs factory as well as electron-peroton colliders (LHeC, FCC-he) can improve on the accuracy of the Higgs coupling measurements, with typical precision at the sub-percent level. Polarization of the e+e- allows for a suite of measurements enabling extremely precise global fits to Higgs couplings. Status, challenges and major accomplishments of these projects will be presented.