title: Vector-Boson Fusion Higgs Production at Three Loops in QCD.
abstract: We calculate the next-to-next-to-next-to-leading-order (N^{3}LO) QCD corrections to inclusive vector-boson fusion Higgs production at proton colliders, in the limit in which there is no color exchange between the hadronic systems associated with the two colliding protons. We also provide differential cross sections for the Higgs transverse momentum and rapidity distributions. We find that the corrections are at the 1‰-2‰ level, well within the scale uncertainty of the next-to-next-to-leading-order calculation. The associated scale uncertainty of the N^{3}LO calculation is typically found to be below the 2‰ level. We also consider theoretical uncertainties due to missing higher order parton distribution functions, and provide an estimate of their importance.
authors: Sorbonne Universités, UPMC Univ Paris 06, UMR 7589, LPTHE, F-75005 Paris, France.|CNRS, UMR 7589, LPTHE, F-75005 Paris, France.|CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland.
authors: Frédéric A
authors: FA
authors: Dreyer
authors: Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, University of Oxford, Oxford OX1 3NP, United Kingdom.
authors: Alexander
authors: A
authors: Karlberg