Calculation of Nucleon Electric Dipole Moments Induced by Quark Chromo-Electric Dipole Moments

TL;DR

This paper reports initial lattice QCD calculations of nucleon electric dipole moments induced by quark chromo-EDMs and explores a novel background electric field method for EDM computation.

Contribution

It introduces a lattice QCD approach using domain wall and M"obius fermions to compute nucleon EDMs and investigates a new background electric field technique without breaking periodicity.

Findings

Connected part of the electric dipole form factor calculated.

Exploratory study of uniform background electric field method.

Initial results demonstrate feasibility of the approach.

Abstract

We present initial results of computing nucleon electric dipole moment induced by quark chromo-EDM, CP-violating quark-gluon coupling. Using chirally-symmetric domain wall and M\"obius fermions with pion mass $m_\pi=172\text{ MeV}$, we calculate the connected part of the electric dipole form factor $F_3(Q^2)$. In addition, we perform an exploratory study of the method to calculate EDM using uniform background electric field on a lattice introduced without breaking the periodicity in the time direction.