Higgs boson gluon-fusion production at threshold in N3LO QCD

We present the cross-section for the threshold production of the Higgs boson at hadron-colliders at next-to-next-to-next-to-leading order ((NLO)-L-3) in perturbative QCD. We present an analytic expression for the partonic cross-section at threshold and the impact of these corrections on the numerical estimates for the hadronic cross-section at the LHC. With this result we achieve a major milestone towards a complete evaluation of the cross-section at (NLO)-L-3 which will reduce the theoretical uncertainty in the determination of the strengths of the Higgs boson interactions. (C) 2014 The Authors. Published by Elsevier B.V.