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Abstract
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.
Highlights
Molecules, are in general required to learn more about the underlying source(s)
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 following hierarchy of nuclear EDM contributions emerges for the deuteron case: the g0θ-induced one-pion exchange and the C1,2-induced contact interactions vanish in the 2N system of the deuteron due to isospin selection rules
Summary
Molecules, are in general required to learn more about the underlying source(s). The concept of probing the QCD θ-term and BSM physics using EDMs of light nuclei has attracted much attention in recent years [8,9,10,11,12,13,14,15,16,17,18,19,20] and is the basic idea underlying plans for EDM measurements in dedicated storage rings [21,22,23,24,25]. The second line of eq (1.1) contains a purely pionic interaction (with coupling constant ∆) and two pion-nucleon interactions (with coefficients g0,1), while the interactions in the last line denote two CP-violating nucleon-nucleon contact terms. Other hadronic interactions, such as the isotensor pion-nucleon interaction g2N †π3τ3N only appear at orders higher than those considered here. The main goal of this paper is to provide the results of a complete and consistent calculation within chiral effective field theory (χEFT) of the leading single-nucleon, twonucleon (2N ) and three-nucleon (3N ) contributions to the EDMs of light nuclei up-toand-including next-to-leading order (NLO) with well defined uncertainties. The results are expressed as functions of the seven low-energy constants (LECs) in eq (1.1), which have to be extracted — in the future — from a combination of EDM measurements and, whenever possible, supplemented with Lattice-QCD calculations
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