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Article
Report number	arXiv:1803.02463 ; CERN-TH-2018-044 ; IPPP/18/15 ; MPP-2018-30 ; ZU-TH 10/18 ; IPPP-18-15 ; ZU-TH-10-18
Title	Higgs boson pair production at NNLO with top quark mass effects
Author(s)	Grazzini, Massimiliano (Zurich U.) ; Heinrich, Gudrun (Munich, Max Planck Inst.) ; Jones, Stephen (Munich, Max Planck Inst.) ; Kallweit, Stefan (CERN) ; Kerner, Matthias (Munich, Max Planck Inst.) ; Lindert, Jonas M. (Durham U., IPPP) ; Mazzitelli, Javier (Zurich U.)
Publication	2018-05-09
Imprint	2018-03-06
Number of pages	19
Note	19 pages, 8 figures
In:	JHEP 05 (2018) 059
DOI	10.1007/JHEP05(2018)059
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We consider QCD radiative corrections to Higgs boson pair production through gluon fusion in proton collisions. We combine the exact next-to-leading order (NLO) contribution, which features two-loop virtual amplitudes with the full dependence on the top quark mass $M_t$, with the next-to-next-to-leading order (NNLO) corrections computed in the large-$M_t$ approximation. The latter are improved with different reweighting techniques in order to account for finite-$M_t$ effects beyond NLO. Our reference NNLO result is obtained by combining one-loop double-real corrections with full $M_t$ dependence with suitably reweighted real--virtual and double-virtual contributions evaluated in the large-$M_t$ approximation. We present predictions for inclusive cross sections in $pp$ collisions at $\sqrt{s}$=13, 14, 27 and 100TeV and we discuss their uncertainties due to missing $M_t$ effects. Our approximated NNLO corrections increase the NLO result by an amount ranging from +12% at $\sqrt{s}$=13TeV to +7% at $\sqrt{s}$=100TeV, and the residual uncertainty from missing $M_t$ effects is estimated to be at the few percent level. Our calculation is fully differential in the Higgs boson pair and the associated jet activity: we also present predictions for various differential distributions at $\sqrt{s}$=14 and 100TeV. Our results represent the most advanced perturbative prediction available to date for this process.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0)

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