Axion-like particles, two-Higgs-doublet models, leptoquarks, and the electron and muon $g-2$

Data from the Muon g-2 experiment and measurements of the fine structure constant suggest that the anomalous magnetic moments of the muon and electron are at odds with standard model expectations. We survey the ability of axion-like-particles, two-Higgs-doublet models and leptoquarks to explain the discrepancies. We find that all scenarios except the Type-I and Type-Y two-Higgs doublet models fit the data well.