Nucleon electric dipole moment from polarized deep inelastic scattering

In a previous paper [1], we have pointed out the connection between the CP-odd three-gluon (Weinberg) operator and certain twist-four corrections in polarized deep inelastic scattering. Based on this observation, we give a numerical estimate of the electric dipole moment of the proton and neutron induced by the Weinberg operator. Our result tends to be smaller than the previous estimates based on QCD sum rules by a factor of about 3 or more, though they are not entirely inconsistent considering theoretical uncertainties.