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We present the next-to-leading order QCD corrections to the production of aHiggs boson in association with one jet at the LHC including the full top-quarkmass dependence. The mass of the bottom quark is neglected. The two-loopintegrals appearing in the virtual contribution are calculated numericallyusing the method of Sector Decomposition. We study the Higgs boson transversemomentum distribution, focusing on the high $p_{t,\mathrm{H}}$ region, wherethe top-quark loop is resolved. We find that the next-to-leading order QCDcorrections are large but that the ratio of the next-to-leading order toleading order result is similar to that obtained by computing in the limit oflarge top-quark mass.

NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence