Electroweak interactions and the muon g-2: bosonic two-loop effects
  We present a detailed evaluation of the bosonic two-loop electroweak corrections to the muon's anomalous magnetic moment. We study the Higgs mass dependence and find agreement with a previous evaluation in the large Higgs mass limit. We find $a_{\mu}^{\rm EW bos}({two-loop})=(-22.2 \pm 1.6)\times 10^{-11}$, for $114 {\rm GeV} \le M_{\rm Higgs}\le 700 {\rm GeV}$. 
T. Gribouk, A. Czarnecki