Nucleon Electric Dipole Moments from QCD Sum Rules

TL;DR

This paper calculates nucleon electric dipole moments using QCD sum rules, establishing their dependence on the CP-violating parameter abar, and constrains abarabarabar to be very small, impacting the strong CP problem.

Contribution

It provides a non-perturbative QCD sum rules calculation of nucleon EDMs directly related to abar, without assuming perturbative expansions, and constrains abarabar to be extremely small.

Findings

abar < 10^{-9} based on neutron EDM limits.

Results align with symmetry constraints and previous calculations.

Excludes solving the strong CP problem via dynamical suppression.

Abstract

The electric dipole moments of nucleons (NEDM, d_N) are calculated using the method of QCD sum rules. Our calculations are based on the parity and time reversal violating parameter $\thetabar$ in QCD and establish a functional dependence of the NEDM on $\thetabar$, without assuming a perturbative expansion of this symmetry breaking parameter. The results obtained from the QCD sum rules approach are shown to be consistent with the general symmetry constraints on CP violations in QCD, including the necessity of: (1) finite quark masses, (2) spontaneous chiral symmetry breaking, and (3) the U_A(1) anomaly. Given the current experimental upper bound on the neutron electric dipole moment (nEDM), d_n < 10^(-25) e-cm, we find | \thetabar | < 10^(-9). This result is compatible with previous calculations of nEDM using different techniques and excludes the possibility of solving the strong CP problem within QCD via a dynamical suppression mechanism.