Anthropic solution to the magnetic muon anomaly: the charged see-saw
  We present models of new physics that can explain the muon g-2 anomaly in accord with with the assumption that the only scalar existing at the weak scale is the Higgs, as suggested by anthropic selection. Such models are dubbed "charged see-saw" because the muon mass term is mediated by heavy leptons. The electroweak contribution to the g-2 gets modified by order one factors, giving an anomaly of the same order as the observed hint, which is strongly correlated with a modification of the Higgs coupling to the muon. 
Kristjan Kannike, Martti Raidal, David M. Straub, Alessandro Strumia
hep-ph