Complete two-loop corrections to H→γγ

In this Letter the complete two-loop corrections to the Higgs-boson decay, H→γγ, are presented. The evaluations of both QCD and electroweak corrections are based on a numerical approach. The results cover all kinematical regions, including the WW normal-threshold, by introducing complex masses in the relevant (gauge-invariant) parts of the LO and NLO amplitudes.