  New physics interactions beyond the Standard Model can make themselves known
as small corrections to Standard Model reactions. There is a diverse array of
proposals for new physics, and so any parametrization of those effects must be
as general and all-inclusive as possible. This can be accomplished by the use
of Standard Model Effective Field Theory (SMEFT). In this article, part of the
celebration of 50 years of the Standard Model of particle physics, I describe
how SMEFT has been applied to search for new physics in fermion-fermion
scattering and precision electroweak analysis and how it will be applied in the
precision study of the Higgs boson. [to appear in the proceedings of the SM@50
Symposium, Case Western Reserve University, June 1-4, 2018]
