The electric dipole moment of the deuteron from the QCD $\theta$-term

Abstract

The two-nucleon contributions to the electric dipole moment (EDM) of the deuteron, induced by the QCD $\theta$-term, are calculated in the framework of effective field theory up-to-and-including next-to-next-to-leading order. In particular we find for the difference of the deuteron EDM and the sum of proton and neutron EDM induced by the QCD $\theta$-term a value of $(-5.4\pm 3.9)\bar{\theta }\times 10^{-4}e$ fm. The by far dominant uncertainty comes from the CP- and isospin-violating $\pi NN$ coupling constant.

Comments: 14 pages, 6 figures, EPJ style, discussion improved, conclusions unchanged