Lattice QCD and the Neutron Electric Dipole Moment

TL;DR

This paper reviews recent lattice QCD calculations of neutron and proton electric dipole moments, CP-violating couplings, and progress in related operator renormalization, advancing understanding of CP violation in QCD.

Contribution

It provides a comprehensive review of recent lattice QCD results on nucleon EDMs and CP-violating operators, highlighting progress and challenges in the field.

Findings

Updated lattice QCD estimates of neutron and proton EDMs

Analysis of CP-violating $ heta$ term effects

Progress in renormalization of CP-violating operators

Abstract

The recent lattice QCD calculations of the neutron and proton electric dipole moments (EDMs) and the CP-violating $\pi {\rm NN}$ 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.