3 years ago

# Lepton electric dipole moment and strong CP violation

Contribution of the strong CP angle, $θ ¯$, to the Wilson Coefficients of electron and muon electric dipole moment (EDM) operators are discussed. Previously, $θ ¯$ contribution to the electron EDM operator was calculated by Choi and Hong [1]. However, the effect of CP-violating three meson coupling was missing in [1]. We include this missing contribution for the first time in the literature, and reevaluate the Wilson coefficients of the lepton EDM operator. We obtain $d e = − ( 2.2 – 8.6 ) × 10 − 28 θ ¯ e-cm$ which is 15–70% of the result obtained in [1]. We also estimated the muon EDM as $d μ = − ( 0.5 – 1.8 ) × 10 − 25 θ ¯ e-cm$. Using $| θ ¯ | ≲ 10 − 10$ suggested by the neutron EDM measurements, we obtain $| d e | ≲ 8.6 × 10 − 38 e-cm$ and $| d μ | ≲ 1.8 × 10 − 35 e-cm$. The $θ ¯$ contribution to the muon EDM is much below the sensitivities of the current and near future experiments. Our result shows that the $θ ¯$ contribution to $d e , μ$ can be larger than the CKM contributions by many orders of magnitude.

Publisher URL: www.sciencedirect.com/science

DOI: S0370269317310389

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