  Effective field theory arguments suggest that if BSM sectors contain new
sources of CP-violation that couple to QCD, these sources will renormalize the
$\theta$ term and frustrate ultraviolet solutions to the strong CP problem.
Simultaneously, they will generate distinctive patterns of low-energy electric
dipole moments in hadronic, nuclear, atomic, and molecular systems. Observing
such patterns thus provides evidence that strong CP is solved by an infrared
relaxation mechanism. We illustrate the renormalization of $\theta$ and the
collections of EDMs generated in a several models of BSM physics, confirming
effective field theory expectations, and demonstrate that measurements of
ratios of electric dipole moments at planned experiments can provide valuable
input on the resolution of the strong CP problem.
