Higgs Boson Gluon-Fusion Production in QCD at Three Loops
Charalampos AnastasiouInstitute for Theoretical Physics, ETH Zürich, 8093 Zürich, SwitzerlandClaude DuhrCERN Theory Division, 1211 Geneva 23, SwitzerlandFalko DulatInstitute for Theoretical Physics, ETH Zürich, 8093 Zürich, SwitzerlandFranz HerzogNikhef, Science Park 105, 1098 XG Amsterdam, The NetherlandsBernhard MistlbergerInstitute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland
2015en
ABI
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.
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Cited by 40 references