  A fully generic treatment of electric dipole moments (EDMs) is presented in
the CP-violating and flavor-conserving weak effective field theory (WET) with
five flavors of quarks and three flavors of leptons. We systematically analyze
leading contributions to EDMs originating from QCD and QED renormalization
group running between the electroweak scale and low energy scales of about 2
GeV. We include the full one-loop anomalous dimension and a subset of two-loop
corrections, as well as threshold corrections at the bottom, charm and $\tau$
masses. This allows us to derive master formulae in the space of generic WET
for the neutron and proton EDMs, for EDMs of diamagnetic atoms, and the
precession frequencies constrained in molecular EDM experiments, from which
bounds on the electron EDM are extracted. In particular, our master formulae
capture the contributions of WET CP-violating operators with heavy quark and
lepton flavors. As an application, we study EDM constraints on the Yukawa
couplings of the Higgs boson, in both the linear and non-linear realizations of
electroweak symmetry breaking.
