  With the discovery of the Higgs, we have access to a plethora of new physical
processes that allow us to further test the SM and beyond. We show a convenient
way to parametrize these physics using an effective theory for Higgs couplings,
discussing the importance of the basis selection, predictions from a SM
effective field theory, and possible ways to measure these couplings with
special attention to the high-energy regime. Predictions from the MSSM and
MCHM, with the comparison with data, are also provided.
