Lattice QCD and the Neutron Electric Dipole Moment

Abstract

The recent lattice QCD calculations of the neutron and proton electric dipole moments (EDMs) and the CP-violating $\pi \mathrm{NN}$ coupling constant due to the $\theta$ term are reviewed. Progress towards nucleon EDM calculations, including the Weinberg three-gluon operator, and the quark chromoelectric dipole moment operator and their renormalization, is also discussed.

24 pages, 8 figures, submitted to Annual Review of Nuclear and Particle Science

References in corpus (8)

• Measurement of the permanent electric dipole moment of the neutron
• Ab initio calculation of the neutron-proton mass difference
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Reexamination of The Standard Model Nucleon Electric Dipole Moment
• The PanEDM Neutron Electric Dipole Moment Experiment at the ILL
• Short flow-time coefficients of CP-violating operators
• One-loop matching of the $CP$-odd three-gluon operator to the gradient flow