Electric dipole moment signatures of PeV-scale superpartners

A possible supersymmetric interpretation of the new Higgs-like 126 GeV resonance involves a high sfermion mass scale, from tens of TeV to a PeV or above. This scale provides sufficiently large loop corrections to the Higgs mass and can naturally resolve the constraints from flavor-violating observables, even with a generic flavor structure in the sfermion sector. We point out that such high scales could still generate $CP$-violating electric dipole moments at interesting levels due to the enhancement of left-right sfermion mixing. We illustrate this by saturating the light fermion mass corrections from the sfermion threshold, leaving the gaugino masses unconstrained. In this framework, we find that the current electric dipole moment bounds probe energy scales of 0.1 PeV or higher; this is competitive with the reach of ${ϵ}_K$ and more sensitive than other hadronic and leptonic flavor observables. We also consider the sensitivity to higher-dimensional supersymmetric operators in this scenario, including those that lead to proton decay.