  The experimental observations of the electron and muon anomalous magnetic
moment present discrepancies with respect to the Standard Model predictions. A
class of flavor conserving Two Higgs Doublet model, stable under
renormalization, that is capable of explaining both anomalies simultaneously is
presented. This model can also explain an excess observed by ATLAS in
$\sigma(pp\to S)_{[\text{ggF}]}\times \text{Br}(S\to\tau^+\tau^-)$.
