High precision determination of the gluon fusion Higgs boson cross-section at the LHC

Anastasiou, Charalampos; Lazopoulos, Achilleas; Mistlberger, Bernhard; Herzog, Franz; Duhr, Claude; Dulat, Falko; Gehrmann, Thomas; Furlan, Elisabetta

doi:10.1007/JHEP05(2016)058

Article
Report number	arXiv:1602.00695 ; CP3-16-01 ; ZU-TH-27-15 ; NIKHEF-2016-004 ; CERN-TH-2016-006 ; CP3-16-01 ; ZU-TH 27-15 ; NIKHEF 2016-004 ; CERN-TH-2016-006
Title	High precision determination of the gluon fusion Higgs boson cross-section at the LHC
Author(s)	Anastasiou, Charalampos (Zurich, ETH) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (Zurich, ETH) ; Furlan, Elisabetta (Zurich, ETH) ; Gehrmann, Thomas (Zurich U.) ; Herzog, Franz (NIKHEF, Amsterdam) ; Lazopoulos, Achilleas (Zurich, ETH) ; Mistlberger, Bernhard (CERN)
Publication	2016-05-10
Imprint	01 Feb 2016
Number of pages	114
Note	Comments: 114 pages, 17 figures, 17 tables. Output files of iHixs code are included with the arXiv submission 114 pages, 17 figures, 17 tables. Output files of iHixs code are included with the arXiv submission
In:	JHEP 05 (2016) 058
DOI	10.1007/JHEP05(2016)058
Subject category	Particle Physics - Phenomenology
Abstract	We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through N$^3$LO in QCD, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other Standard Model quarks are massless. We combine this result with QCD corrections to the cross-section where all finite quark-mass effects are included exactly through NLO. In addition, electroweak corrections and the first corrections in the inverse mass of the top-quark are incorporated at three loops. We also investigate the effects of threshold resummation, both in the traditional QCD framework and following a SCET approach, which resums a class of $\pi^2$ contributions to all orders. We assess the uncertainty of the cross-section from missing higher-order corrections due to both perturbative QCD effects beyond N$^3$LO and unknown mixed QCD-electroweak effects. In addition, we determine the sensitivity of the cross-section to the choice of parton distribution function (PDF) sets and to the parametric uncertainty in the strong coupling constant and quark masses. For a Higgs mass of $m_H = 125 {\rm GeV}$ and an LHC center-of-mass energy of $13 {\rm TeV}$, our best prediction for the gluon fusion cross-section is \[ \sigma = 48.58\,{\rm pb} {}^{+2.22\, {\rm pb}\, (+4.56\%)}_{-3.27\, {\rm pb}\, (-6.72\%)} \mbox{ (theory)} \pm 1.56 \,{\rm pb}\, (3.20\%) \mbox{ (PDF+$\alpha_s$)} \]
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2016-2024 CERN (License: CC-BY-4.0) publication: © 2016-2024 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

$The numerical effect in Setup 1 (see Tab.~\ref{tab:setup1}) of the \nnnlo corrections in the gluon-gluon channel as a function of the truncation order of the threshold expansion and for various values of the parameter $n$ in eq.~\eqref{eq:sigma_deformed}.$ $The numerical effect in Setup 1 (see Tab.~\ref{tab:setup1}) of the \nnnlo corrections as a function of the truncation order of the threshold expansion and for various values of the parameter $n$ in eq.~\eqref{eq:sigma_deformed}. All channels are included.$ $The numerical effect in Setup 1 of the \nnnlo\, correction in the main partonic channels and the total cross-section as a function of the truncation order in the threshold expansion, for $n=0$ in eq.~\eqref{eq:sigma_deformed}.$ Show more plots

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