Complete three-loop QCD corrections to the decay H -> \gamma \gamma

We present the result for the three-loop singlet QCD corrections to the decay of a Higgs boson into two photons and improve the calculation for the non-singlet case. With the new result presented, the decay width Gamma(H -> \gamma \gamma) is completely known at O(G_F \alpha ^2 \alpha_s^2, G_F \alpha ^3).