Singlet scalar and 2HDM extensions of the Standard Model: CP-violation and constraints from (g − 2)μ and eEDM

A bstract We study popular scalar extensions of the Standard Model, namely the singlet extension, the 2-Higgs doublet model (2HDM) and its extension by a singlet scalar. We focus on the contributions of the added scalars to the anomalous magnetic moment of the muon, ( g − 2) μ in the presence of CP-violation, and the electric dipole moment of the electron ( e EDM) in these models. In the absence of CP-violation, CP-even and CP-odd scalars contribute with an opposite sign to the anomalous magnetic moment of the muon and as a result these models generally require very light scalars to explain the observed discrepancy in ( g − 2) μ . We study the effect of CP-violation on the anomalous magnetic moment of the muon and its compatibility with the e EDM constraints. We show that given the current status of the global set of constraints applied on all values of cot β , in the CP-violating scalar extensions, there exist no viable parameter space in agreement with both a μ and e EDM bounds.