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The Fermi effective theory of the weak interaction helped identify thestructure of the electroweak sector of the Standard Model, and the chiraleffective Lagrangian pointed towards QCD as the theory of the stronginteractions. The Standard Model Effective Field Theory (SMEFT) is a systematicand model-independent framework for characterizing experimental deviations fromthe predictions of the Standard Model and pointing towards the structures ofits possible extensions that is complementary to direct searches for newphysics beyond the Standard Model. This talk summarizes results from the firstglobal fit to data from LHC Run 2 and earlier experiments including dimension-6SMEFT operators, and gives examples how it can be used to constrain scenariosfor new physics beyond the Standard Model. In addition, some windows forprobing dimension-8 SMEFT operators are also mentioned.

SMEFT Constraints on New Physics Beyond the Standard Model