  The latest data from the ACME Collaboration have put a stringent constraint
on the electric dipole moment d_e of the electron. Nevertheless, the standard
model (SM) prediction for d_e is many orders of magnitude below the new result,
making this observable a powerful probe for physics beyond the SM. We carry out
a model-independent study of d_e in the SM with right handed neutrinos and its
extension with the neutrino seesaw mechanism under the framework of minimal
flavor violation. We find that d_e crucially depends on whether neutrinos are
Dirac or Majorana particles. In the Majorana case, d_e can reach its
experimental bound, and it constrains the scale of minimal flavor violation to
be above a few hundred GeV or more. We also explore extra CP-violating sources
in the Yukawa couplings of the right-handed neutrinos. Such new sources can
have important effects on d_e.
