We discuss model-independent contributions to the electron EDM, focusing on those contributions emerging from a heavy scalar sector linearly realized.
To provide a concrete new physics realization, we investigate the aligned 2HDM in the decoupling limit.
We point out that logarithmically enhanced contributions generated from Barr-Zee diagrams with a fermion loop are present in the aligned 2HDM, an effect encoded in the decoupling limit by effective dimension-6 operators, through the mixing of four-fermion into dipole operators.
The same large logarithms are absent in specific 2HDMs where a $\mathcal Z_2$ symmetry is enforced, which thus controls the basis of effective operators relevant for calculating new physics contributions to EDMs. In other words, the $\mathcal Z_2$ symmetry acts as a suppression mechanism.
In the aligned 2HDM these contributions are proportional to sources of CP violation that are potentially large, and absent in presence of the $\mathcal Z_2$ symmetry.
We then investigate the impact on the electron EDM of this extended set of free parameters.