Despite its incredible success, culminating in the discovery of the Higgs boson at the LHC, the Standard Model leaves much to be desired: aside from missing ingredients crucial for our cosmological history, it cannot be extended to arbitrarily short distances and contains a number of patterns and hierarchies that lack a deeper, physical explanation. Fortunately, its rich structure provides us with a number of avenues to search for new physics.
In this talk, I will review the intimate connection between the complexities of the flavor sector of the Standard Model and the Higgs. I will then describe how this connection can be leveraged to search for new physics at a variety of scales, ranging from laboratory-scale tests for electric dipole moments of the electron to novel measurements at the LHC and future colliders.