Abstract: Hints of new physics are encoded as higher-dimension operators in effective field theories. The couplings of these operators, "dial settings" in the low-energy laws of physics, can be bounded using methods independent of the ultraviolet completion, relying only on principles like unitarity of quantum mechanics, locality of scattering amplitudes, and causality. In this talk, I will show how infrared consistency techniques can be used to constrain a wide array of deviations from the Standard Model of particle physics. These constraints give compelling near-term implications connecting CP and flavor violation measurements with collider physics, and provide us with powerful means to test the tenets of quantum field theory itself.