Abstract
We present the next-to-leading-order QCD corrections to the production of a Higgs boson in association with one jet at the LHC including the full top-quark mass dependence. The mass of the bottom quark is neglected. The two-loop integrals appearing in the virtual contribution are calculated numerically using the method of sector decomposition. We study the Higgs boson transverse momentum distribution, focusing on the high p_{t,H} region, where the top-quark loop is resolved. We find that the next-to-leading-order QCD corrections are large but that the ratio of the next-to-leading-order to leading-order result is similar to that obtained by computing in the limit of large top-quark mass.
Highlights
Introduction.—During Run I and early Run II of the LHC great progress has been made in establishing many of the properties of the Higgs boson particle discovered in 2012
Higgs boson production are known to N3LO QCD accuracy [3], while the fully differential corrections for H þ 1 jet production are known to next-to-next-to-leading-order (NNLO) QCD accuracy [4,5,6,7]
Finite quark mass corrections to H þ 1 jet production have been known at LO for a long time [8,9] and LO results are known for the higher multiplicity processes H þ 2 jets [10,11] and recently H þ 3 jets [12,13]
Summary
Introduction.—During Run I and early Run II of the LHC great progress has been made in establishing many of the properties of the Higgs boson particle discovered in 2012. One interesting regime to consider is that of Higgs boson production with a transverse momentum pt;H of the order of the top-quark mass, mT, or larger.
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