The muon magnetic moment in the 2HDM: complete two-loop result

We study the 2HDM contribution to the muon anomalous magnetic moment 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 the muon anomalous magnetic moment can accommodate the current experimental value, and the complete two-loop bosonic contribution can amount to (2...4)x10^{-10}, more than the future experimental uncertainty.