Quantifying Limits on CP Violating Phases from EDMs in Supersymmetry

We revisit the calculation of the electron, neutron, and proton electric dipole moments (EDMs) in the constrained minimal supersymmetric standard model (CMSSM). The relatively large mass of the Higgs boson, $m_H\simeq 125$ GeV coupled with the (as yet) lack of discovery of any supersymmetric particle at the LHC, has pushed the supersymmetry breaking scale to several TeV or higher. Though one might expect this decoupling to have relaxed completely any bounds on the two CP violating phases in the CMSSM (${\theta }_{\mu }$ and ${\theta }_A$), the impressive experimental improvements in the limits on the EDMs (particularly the electron EDM) still allow us to set constraints of order $(0.01-0.1)\pi$ on ${\theta }_A$ and $(0.001-0.1)\pi$ on ${\theta }_{\mu }$. We also discuss the impact of future improvements in the experimental limits on supersymmetric models.