Implications of the strange spill of the nucleon for the neutron electric dipole moment in supersymmetric theories

Supersymmetric model contributions to the neutron electric dipole moment arise via quark electric dipole moment operators, whose matrix elements are usually calculated using the Naive Quark Model (NQM). However, experiments indicate that the NQM does not describe well the quark contributions Delta q to the nucleon spin, and so may provide misleading estimates of electric dipole operator matrix elements. Taking the Delta q from experiment, we indeed find consistently smaller estimates of the neutron electric dipole moment for given values of the supersymmetric model parameters. This weakens previous constraints on CP violation in supersymmetric models, which we exemplify analytically in the case where the lightest supersymmetric particle (LSP) is a U(1) gaugino (B) over tilde, and display numerically for other LSP candidates.