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.

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

References in corpus (12)

• Chiral Perturbation Theory and Baryon Properties
• Low Energy Precision Test of Supersymmetry
• Resonance method of electric-dipole-moment measurements in storage rings
• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• Baryon electric dipole moments from strong CP violation
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Nuclear Electric Dipole Moment of 3He
• Model Dependence of the 2H Electric Dipole Moment

Cited by in corpus (9)

• Unraveling models of CP violation through electric dipole moments of light nuclei
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Baryon electric dipole moments from strong CP violation
• Enhancement of the CP-odd effect in the nuclear electric dipole moment of ${}^6$Li
• Improved limits on the hadronic and semi-hadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of ${}^{199}$Hg
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Permanent Electric Dipole Moments of Single-, Two-, and Three-Nucleon Systems
• Electric dipole moments of the nucleon and light nuclei