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

Abstract

The two-nucleon contributions to the electric dipole moment (EDM) of the deuteron, induced by the QCD $θ$-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 $θ$-term a value of $(-5.4\pm 3.9)\,\barθ\times 10^{-4}\, e$ fm. The by far dominant uncertainty comes from the CP- and isospin-violating $πNN$ coupling constant.

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