Two-loop electroweak corrections to Higgs-gluon couplings to higher   orders in the dimensional regularization parameter
  We compute the two-loop electroweak correction to the production of the Higgs boson in gluon fusion to higher orders in the dimensional-regularization parameter $\epsilon = (d-4)/2$. We employ the method of differential equations to compute the relevant integrals and express them in terms of Goncharov polylogarithms. Our result provides one of the necessary inputs for the computation of mixed three-loop QCD-electroweak corrections to $gg \to H$. 
Marco Bonetti, Kirill Melnikov, Lorenzo Tancredi
hep-ph