  We study the prospective sensitivity to CP-violating Two Higgs Doublet Models
from the 14 TeV LHC and future electric dipole moment (EDM) experiments. We
concentrate on the search for a resonant heavy Higgs that decays to a $Z$ boson
and a SM-like Higgs h, leading to the $Z(\ell\ell)h(b\bar{b})$ final state. The
prospective LHC reach is analyzed using the Boosted Decision Tree method. We
illustrate the complementarity between the LHC and low energy EDM measurements
and study the dependence of the physics reach on the degree of deviation from
the alignment limit. In all cases, we find that there exists a large part of
parameter space that is sensitive to both EDMs and LHC searches.
