An approximate N3LO cross section for Higgs production in gluon fusion
Deutsches Elektronen-Synchroton, DESY, Notkestraße 85, D-22603 Hamburg, Germany
Published online: 26 November 2013
An approximate expression for the inclusive Higgs production cross section in gluon fusion at N3LO 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 μR = mH/2, suggesting that higher order QCD corrections might be underestimated by presently available results. We also find a significant reduction of the scale uncertainty
© Owned by the authors, published by EDP Sciences, 2013
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.