Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO

Effects from a finite top quark mass on the H+ n-jet coss section through gluon fusion are studied for n = 0 /n � 1 at NNLO/NLO QCD. For this purpose, sub-leading terms in 1 /m t are calculated. We show that the asymptotic expansion of the jet-vetoed cross section at NNLO is very well behaved and that the heavy-top approximation is valid at the five permille level up to jet-veto cuts of 300 GeV. For the inclusive Higgs+jet rate, we introduce a matching procedure that allows for a reliable prediction of the top-mass effects using the expansion in 1 /m t . The quality of the effective field theory to evaluate differential K-factors for the distribution of the hardest jet is found to be better than 1-2% as long as the transverse momentum of the jet is integrated out or remains below about 150 GeV. DOI: https://doi.org/10.1007/JHEP11(2014)150 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-107555 Originally published at: Neumann, Tobias; Wiesemann, Marius (2014). Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO. Journal of High Energy Physics, 2014(11):1-22. DOI: https://doi.org/10.1007/JHEP11(2014)150 ZU-TH 30/14 — WUB/14-09 — LPN14-107 Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO Tobias Neumann and Marius Wiesemann a Fachbereich C, Bergische Universität Wuppertal, 42097 Wuppertal, Germany b Physik-Institut, Universität Zürich, 8057 Zürich, Switzerland [email protected] [email protected]