Nuclear electric dipole moments in chiral effective field theory

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.

TaN molecule as a candidate for the search for aT,P-violating nuclear magnetic quadrupole moment

“…Almost the same final results for M (θ) can be obtained by using recently calculated relations of g 0 and g 1 constants by using chiral perturbation theory [56] and lattice data for the strong part of the proton-neutron mass difference [57] which give updated value of gg 0 . Finally, we can express MQM in terms of the quark chromo-EDMd u andd d using the relations gḡ 1 = 4.·10 [58]:…”

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

“…The Weinberg operator is chiral invariant and therefore its contribution toḡ 0,1 is suppressed by m 2 π /Λ 2 χ where Λ χ ∼ 1 GeV [58,68]. Nevertheless, power counting indicates that nuclear EDMs can still significantly depend onḡ 0,1 induced by the Weinberg operator [68,72], but explicit calculations show that the largest contributions arise from the constituent nucleon EDMs [73,74]. We will therefore neglectḡ 0,1 from the Weinberg operator.…”

“…[72]. The 3 He EDM has been analyzed within the same framework [72,73] and depends onḡ 0 as well. In addition, it depends on CPV nucleon-nucleon interactions induced by the Weinberg operator.…”

P- andT-violating Lagrangians in chiral effective field theory and nuclear electric dipole moments

“…A single EDM measurement would not be sufficient to identify the source of P and T violation and EDM measurements of several light nuclei are in general required to impose constraints on the sources of P and T violation within and beyond the SM [20][21][22][23][24][25]. This paper provides a detailed explanation of the formal but necessary aspects of the investigation of the EDMs of light nuclei, i.e.…”