Radiative Muon Mass Models and $(g-2)_\mu$

Recent measurements of the Higgs-muon coupling are directly probing muon mass generation for the first time. We classify minimal models with a one-loop radiative mass mechanism and show that benchmark models are consistent with current experimental results. We find that these models are best probed by measurements of $(g-2)_\mu$, even when taking into account the precision of Higgs measurements expected at future colliders. The current $(g-2)_\mu$ anomaly, if confirmed, could therefore be a first hint that the muon mass has a radiative origin.
Comment: 14 pages, 5 figures; v2: references added, updated experimental g-2 measurement, matches published version