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-tonext-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 ± 3.9)θ × 10 −4 e fm. The by far dominant uncertainty comes from the CP-and isospin-violating πN N coupling constant.PACS. 11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries -13.40.Em Electric and magnetic moments -24.80.+y Nuclear tests of fundamental interactions and symmetries -21.10.Ky Electromagnetic moments

We provide a consistent and complete calculation of the electric dipole moments of the deuteron, helion, and triton in the framework of chiral effective field theory. The CP-conserving and CP-violating interactions are treated on equal footing and we consider CP-violating one-, two-, and three-nucleon operators up to next-to-leading-order in the chiral power counting. In particular, we calculate for the first time EDM contributions induced by the CP-violating three-pion operator. We find that effects of CP-violating nucleon-nucleon contact interactions are larger than those found in previous studies based on phenomenological models for the CP-conserving nucleon-nucleon interactions. Our results which apply to any model of CP violation in the hadronic sector can be used to test various scenarios of CP violation. As examples, we study the implications of our results on the QCD θ-term and the minimal left-right symmetric model.

We show that the proposed measurements of the electric dipole moments of light nuclei in storage rings would put strong constraints on models of flavor-diagonal CP violation. Our analysis is exemplified by a comparison of the Standard Model including the QCD theta term, the minimal left-right symmetric model, a specific version of the so-called aligned two-Higgs doublet model, and briefly the minimal supersymmetric extension of the Standard Model. By using effective field theory techniques we demonstrate to what extent measurements of the electric dipole moments of the nucleons, the deuteron, and helion could discriminate between these scenarios. We discuss how measurements of electric dipole moments of other systems relate to the light-nuclear measurements.

A new method to determine the spin tune is described and tested. In an ideal planar magnetic ring, the spin tune-defined as the number of spin precessions per turn-is given by ν s ¼ γG (γ is the Lorentz factor, G the gyromagnetic anomaly). At 970 MeV=c, the deuteron spins coherently precess at a frequency of ≈120 kHz in the Cooler Synchrotron COSY. The spin tune is deduced from the up-down asymmetry of deuteron-carbon scattering. In a time interval of 2.6 s, the spin tune was determined with a precision of the PRL 115, 094801 (2015) P H Y S I C A L

Erratum to: JHEP03(2015)104ArXiv ePrint: 1411.5804As first observed in ref.[1], the usual weight factors of the neutron (d n ) and proton (d p ) single-nucleon contribution to the electric dipole moment of the deuteron are lacking a small wave-function-dependent term resulting from the subleading 3 D 1 component of the deuteron wave function. A simple calculation reveals that the total single-nucleon contribution iswhere P D is the probability of the deuteron 3 D 1 -state, which of course depends on the choice of the wave function.