Muon g-2 in the 2HDM: Maximum results and detailed phenomenology

Higgs couplings in the flavor-aligned two-Higgs doublet model (2HDM). We focus on the most promising case of a light pseudoscalar Higgs A with large Yukawa couplings to leptons and quarks. Taking into account experimental constraints from LHC Higgs and flavor physics, we find maximum possible Yukawa couplings of a light A of around 50-100 (leptons) and O(0.5) (quarks). An overall maximum of a(mu) of more than 45 x 10(-10) is possible in a very small parameter region around M-A = 20 GeV. For M-A up to 100 GeV, the maximum possible value of a(mu) is compatible with the currently observed deviation if the A couplings to quarks and leptons are both large, making this scenario promising for LHC searches. We also analyze the subleading bosonic two-loop contributions to a(mu), finding values up to 3 x 10(-10).