This discovery of the Higgs boson last year has created new possibilities for
testing candidate theories for explaining physics beyond the Standard Model.
Here we explain the ways in which new physics can leave its marks in the
experimental Higgs data, and how we can use the data to constrain and compare
different models. In this proceedings paper we use two models, Minimal
Universal Extra Dimensions and the 4D Composite Higgs model, as examples to
demonstrate the technique.Comment: V2 corrected typo in author name. Submitted to the proceedings of the
41st ITEP Winter School, Mosco