title: Higgs boson gluon-fusion production in QCD at three loops.
abstract: We present the cross section for the production of a Higgs boson at hadron colliders at next-to-next-to-next-to-leading order (N^{3}LO) in perturbative QCD. The calculation is based on a method to perform a series expansion of the partonic cross section around the threshold limit to an arbitrary order. We perform this expansion to sufficiently high order to obtain the value of the hadronic cross at N^{3}LO in the large top-mass limit. For renormalization and factorization scales equal to half the Higgs boson mass, the N^{3}LO corrections are of the order of +2.2%. The total scale variation at N^{3}LO is 3%, reducing the uncertainty due to missing higher order QCD corrections by a factor of 3.
authors.affiliation: Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland.
authors.forename: Charalampos
authors.initials: C
authors.lastname: Anastasiou
authors.affiliation: CERN Theory Division, 1211 Geneva 23, Switzerland.|Center for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium.
authors.forename: Claude
authors.initials: C
authors.lastname: Duhr
authors.affiliation: Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland.
authors.forename: Falko
authors.initials: F
authors.lastname: Dulat
authors.affiliation: Nikhef, Science Park 105, 1098 XG Amsterdam, The Netherlands.
authors.forename: Franz
authors.initials: F
authors.lastname: Herzog
authors.affiliation: Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland.
authors.forename: Bernhard
authors.initials: B
authors.lastname: Mistlberger