Abstract
Recent results on the Higgs plus jet production are reviewed. We have computed the two-loop amplitudes for $ gg \to Hg $, $ q\bar{q} \to Hg $ and $ qg \to Hq $ at large Higgs transverse momentum. It was the long-missing part of NLO corrections to the Higgs plus jet production above the top mass threshold. This result is combined with the real corrections to produce the Higgs boson transverse momentum distribution at NLO.
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