The discovery of the Higgs boson opened a new window to the search for new physics related to electroweak symmetry breaking. Constraints from low-energy precision observables frequently put more stringent bounds on anomalous interactions than collider searches. As an example, I will show constraints on CP-violating Higgs couplings to the third generation, derived from electric dipole moments. I will also discuss bounds on anomalous ttZ couplings from rare meson decays.