Electric dipole moments: A global analysis

We perform a global analysis of searches for the permanent electric dipole moments (EDMs) of the neutron, neutral atoms, and molecules in terms of six leptonic, semileptonic, and nonleptonic interactions involving photons, electrons, pions, and nucleons. By translating the results into fundamental charge-conjugation-parity symmetry (CP) violating effective interactions through dimension six involving standard model particles, we obtain rough lower bounds on the scale of beyond the standard model CP-violating interactions ranging from 1.5 TeV for the electron EDM to 1300 TeV for the nuclear spin-independent electron-quark interaction. We show that planned future measurements involving systems or combinations of systems with complementary sensitivities to the low-energy parameters may extend the mass reach by an order of magnitude or more.

Figure 1

Electron EDM $d_e$ as a function of $C_S$ from the experimental results in Tl, YbF, and ThO. Also shown are 68% and 95% error ellipses representing the best fit for the paramagnetic systems and including $d_A{(}^{199}\mathrm{Hg}$) as discussed in the text. Also shown are the constraints on the dimensionless Wilson coefficients ${\delta }_e$ and $\mathrm{Im}{C}_{\mathrm{eq}}^{(-)}$ times the squared scale ratio ${(v/\Lambda )}^2$.