Electron EDM in the complex two-Higgs doublet model

TL;DR

This paper provides the first complete two-loop calculation of the electron EDM within the complex two-Higgs doublet model, confirming gauge independence and analyzing decoupling behavior.

Contribution

It introduces a comprehensive two-loop calculation of the electron EDM in the complex two-Higgs doublet model, including gauge independence verification and effective field theory matching.

Findings

Confirmed gauge independence through analytic cancellation.

Analyzed electron EDM behavior near the decoupling limit.

Provided expressions for light quark EDMs.

Abstract

We present the first complete two loop calculation of the electron EDM in the complex two-Higgs doublet model. We confirm gauge-independence by demonstrating analytic cancellation of the gauge parameter $\xi$ in the background field gauge and the 't Hooft $R_\xi$ gauge. We also investigate the behavior of the electron EDM near the decoupling limit, and determine the short- and long-distance contributions by matching onto an effective field theory. Compared with earlier studies of the electron EDM in the complex two-Higgs doublet model, we note disagreements in several places and provide diagnoses where possible. We also provide expressions for EDMs of light quarks.