Abstract:We study the 2HDM contribution to the muon anomalous magnetic moment a µ and present the complete two-loop result, particularly for the bosonic contribution. We focus on the Aligned 2HDM, which has general Yukawa couplings and contains the type I, II, X, Y models as special cases. The result is expressed with physical parameters: three Higgs boson masses, Yukawa couplings, two mixing angles, and one quartic potential parameter. We show that the result can be split into several parts, each of which has a simple parameter dependence, and we document their general behavior. Taking into account constraints on parameters, we find that the full 2HDM contribution to a µ can accommodate the current experimental value, and the complete two-loop bosonic contribution can amount to (2 · · · 4) × 10 −10 , more than the future experimental uncertainty.