Electron EDM and $\Gamma(\mu \to e \gamma)$ in the 2HDM

TL;DR

This paper provides a comprehensive two-loop calculation of the electron EDM and lepton-flavor violating decay rates in the general 2HDM, including complex phases and a public Python implementation.

Contribution

It presents the first complete two-loop computation of these observables in the unconstrained 2HDM with general Yukawa interactions and phases.

Findings

First complete two-loop calculation of electron EDM in 2HDM

Calculated $ ext{BR}( au o e/ extmu + extgamma)$ and $ ext{BR}( extmu o e + extgamma)$

Provided a public Python code for the results.

Abstract

We present the first complete two-loop calculation of the electric dipole moment of the electron, as well as the rates of the lepton-flavor violating decays $\mu \to e + \gamma$ and $\tau \to e/\mu + \gamma$, in the unconstrained two-Higgs doublet model. We include the most general Yukawa interactions of the Higgs doublets with the Standard Model fermions up to quadratic order, and allow for generic phases in the Higgs potential. A python implementation of our results is provided via a public git repository.