An approximate NNNLO cross section for Higgs production in gluon fusion

Abstract

An approximate expression for the inclusive Higgs production cross section in gluon fusion at NNNLO in QCD with finite top mass is presented. We argue that an accurate approximation can be constructed combining (and improving) the large- and small-z behaviours of the partonic cross section, which are both known to all orders from soft-gluon (Sudakov) and high-energy (BFKL) resummations, respectively. For a 125 GeV Higgs at LHC at 8 TeV, we find an increase of about 6-13% with respect to the NNLO inclusive cross section for the conventional scale μ_R=m_H/2, suggesting that higher order QCD corrections might be underestimated by presently available results. We also find a significant reduction of the scale uncertainty.

5 pages, 3 figures. To appear in the proceedings of LHCP 2013

References in corpus (5)

• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Small x Resummation with Quarks: Deep-Inelastic Scattering
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO

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• Search for a light CP-odd Higgs boson decaying into a pair of $\tau$-leptons in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector