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002128781 0248_ $$aoai:cds.cern.ch:2128781$$pcerncds:CERN$$pcerncds:CERN:FULLTEXT$$pcerncds:FULLTEXT
002128781 0247_ $$2DOI$$9bibmatch$$a10.1007/JHEP05(2016)058
002128781 035__ $$9arXiv$$aoai:arXiv.org:1602.00695
002128781 035__ $$9Inspire$$a1419073
002128781 037__ $$9arXiv$$aarXiv:1602.00695$$chep-ph
002128781 037__ $$aCP3-16-01
002128781 037__ $$aZU-TH-27-15
002128781 037__ $$aNIKHEF-2016-004
002128781 037__ $$aCERN-TH-2016-006
002128781 041__ $$aeng
002128781 088__ $$aCP3-16-01
002128781 088__ $$aZU-TH 27-15
002128781 084__ $$2CERN Library$$aTH-2016-006
002128781 088__ $$aNIKHEF 2016-004
002128781 088__ $$aCERN-TH-2016-006
002128781 100__ $$aAnastasiou, Charalampos$$uZurich, ETH$$vInstitute for Theoretical Physics - ETH Zürich - 8093 - Zürich - Switzerland
002128781 245__ $$aHigh precision determination of the gluon fusion Higgs boson cross-section at the LHC
002128781 269__ $$aGeneva$$bCERN$$c01 Feb 2016
002128781 260__ $$c2016-05-10
002128781 300__ $$a114 p
002128781 500__ $$aComments: 114 pages, 17 figures, 17 tables. Output files of iHixs code are included with the arXiv submission
002128781 500__ $$9arXiv$$a114 pages, 17 figures, 17 tables. Output files of iHixs code are included with the arXiv submission
002128781 520__ $$aWe 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 \[ \sigma = 48.58\,{\rm pb} {}^{+2.22\, {\rm pb}\, (+4.56\%)}_{-3.27\, {\rm pb}\, (-6.72\%)} \mbox{ (theory)} \pm 1.56 \,{\rm pb}\, (3.20\%) \mbox{ (PDF+$\alpha_s$)} \]
002128781 520__ $$9Springer$$aWe 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 π$^{2}$ 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 GeV and an LHC center-of-mass energy of 13 TeV, our best prediction for the gluon fusion cross-section is $ \sigma =48.58\,{\mathrm{pb}}_{-3.27\,\mathrm{p}\mathrm{b}}^{+2.22\,\mathrm{p}\mathrm{b}}\left(\mathrm{theory}\right)\pm 1.56\,\mathrm{p}\mathrm{b}\left(3.20\%\right)\left(\mathrm{P}\mathrm{D}\mathrm{F}+{\alpha}_s\right). $
002128781 520__ $$9arXiv$$aWe 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 \[ \sigma = 48.58\,{\rm pb} {}^{+2.22\, {\rm pb}\, (+4.56\%)}_{-3.27\, {\rm pb}\, (-6.72\%)} \mbox{ (theory)} \pm 1.56 \,{\rm pb}\, (3.20\%) \mbox{ (PDF+$\alpha_s$)} \]
002128781 540__ $$aarXiv nonexclusive-distrib. 1.0$$barXiv$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002128781 540__ $$3preprint$$aCC-BY-4.0
002128781 540__ $$3publication$$aCC-BY-4.0$$fSCOAP3
002128781 542__ $$3preprint$$dCERN$$g2016
002128781 542__ $$3publication$$dThe Author(s)$$g2016
002128781 595__ $$aLANL EDS
002128781 595__ $$aCERN-TH
002128781 65017 $$2arXiv$$aParticle Physics - Phenomenology
002128781 695__ $$9LANL EDS$$ahep-ph
002128781 690C_ $$aARTICLE
002128781 690C_ $$aCERN
002128781 700__ $$aDuhr, Claude$$uLouvain U., CP3$$uCERN$$vCenter for Cosmology - Particle Physics and Phenomenology (CP3) - Université catholique de Louvain - Chemin du Cyclotron 2 - 1348 - Louvain-La-Neuve - Belgium$$vTheoretical Physics Department - CERN - Geneva - Switzerland
002128781 700__ $$aDulat, Falko$$uZurich, ETH$$vInstitute for Theoretical Physics - ETH Zürich - 8093 - Zürich - Switzerland
002128781 700__ $$aFurlan, Elisabetta$$uZurich, ETH$$vInstitute for Theoretical Physics - ETH Zürich - 8093 - Zürich - Switzerland
002128781 700__ $$aGehrmann, Thomas$$uZurich U.$$vPhysik-Institut - Universität Zürich - Winterthurerstrasse 190 - 8057 - Zürich - Switzerland
002128781 700__ $$aHerzog, Franz$$uNIKHEF, Amsterdam$$vNikhef - Science Park 105 - NL-1098 XG - Amsterdam - The Netherlands
002128781 700__ $$aLazopoulos, Achilleas$$uZurich, ETH$$vInstitute for Theoretical Physics - ETH Zürich - 8093 - Zürich - Switzerland
002128781 700__ $$aMistlberger, Bernhard$$uCERN$$vTheoretical Physics Department - CERN - Geneva - Switzerland
002128781 773__ $$c058$$pJHEP$$v05$$y2016
002128781 8564_ $$s1819513$$uhttp://inspirehep.net/record/1419073/files/scoap3-fulltext.pdf?subformat=pdfa$$xpdfa$$yArticle from SCOAP3
002128781 8564_ $$81177641$$s1618021$$uhttps://cds.cern.ch/record/2128781/files/arXiv:1602.00695.pdf
002128781 8564_ $$81177631$$s25953$$uhttps://cds.cern.ch/record/2128781/files/truncation_all_channels_relative.png$$y00003 The ratios of eq.~\eqref{eq:ratio_convergence} for the convergence for the threshold expansion at \nnnlo for individual partonic channels, as well as for the full hadronic cross-section. The $qq$ and $qq'$ channels are negligible and are not shown in the plot.
002128781 8564_ $$81177632$$s28994$$uhttps://cds.cern.ch/record/2128781/files/SCET_Resum.png$$y00012 The Higgs boson production cross-section computed for the LHC using Setup 2 at LO (green), NLO (orange), NNLO (blue), N$^3$LO (red). Solid lines correspond to fixed-order (FO) predictions and dashed lines to SCET predictions.
002128781 8564_ $$81177633$$s4645$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_scale_scan_mur_fixed.png$$y00005 The dependence of the cross-section on the factorization scale for a fixed value of the renormalization scale.
002128781 8564_ $$81177634$$s28518$$uhttps://cds.cern.ch/record/2128781/files/truncation_gg_only_restricted_N.png$$y00000 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}.
002128781 8564_ $$81177636$$s5329$$uhttps://cds.cern.ch/record/2128781/files/resummation_all_kinds_of.png$$y00011 Scale variation with $\mu = \mu_R=\mu_F$ of the N$^3$LO+N$^3$LL cross-section within Setup 1 for different resummation schemes. The fixed-order cross-sections are shown for comparison.
002128781 8564_ $$81177637$$s22149$$uhttps://cds.cern.ch/record/2128781/files/truncation_all_channels_all_N_inset.png$$y00001 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.
002128781 8564_ $$81177638$$s4665$$uhttps://cds.cern.ch/record/2128781/files/pdf_abm_vs_pdf4lhc_vs_ct14as0113.png$$y00017 Higgs production cross-section and 68\%~C.L. PDF$+\alpha_s$ uncertainty from the ABM12 fit and from the CT14 set computed at $\alpha_s = \alpha_s^{ABM}$, normalized by the central value obtained with the PDF4LHC combination.
002128781 8564_ $$81177639$$s5020$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_gg_vs_qg_vs_total_n3lo.png$$y00008 The dependence of the cross-section on a common renormalization and factorization scale $\mu = \mu_F = \mu_R$ per partonic channel.
002128781 8564_ $$81177640$$s6533$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_n3lo_eft_vs_rescaled.png$$y00013 The dependence of the cross-section on a common renormalization and factorization scale $\mu = \mu_F = \mu_R$ in the EFT vs the EFT rescaled with the exact LO contribution in the $\overline{\textrm{MS}}$-scheme.
002128781 8564_ $$81177642$$s4379$$uhttps://cds.cern.ch/record/2128781/files/pdf_hera_vs_pdf4lhc.png$$y00016 Higgs production cross-section and 68\%~C.L. PDF$+\alpha_s$ uncertainty from the HERAPDF2.0 fit, normalized by the central value obtained with the PDF4LHC combination.
002128781 8564_ $$81177643$$s6364$$uhttps://cds.cern.ch/record/2128781/files/resummation_catani.png$$y00010 Scale variation with $\mu = \mu_R=\mu_F$ at all perturbative orders through N$^3$LO within Setup 1, resummed at the corresponding logarithmic accuracy. The fixed-order cross-sections are shown for comparison.
002128781 8564_ $$81177644$$s4944$$uhttps://cds.cern.ch/record/2128781/files/truncation_all_channels_absolute.png$$y00002 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}.
002128781 8564_ $$81177645$$s4622$$uhttps://cds.cern.ch/record/2128781/files/setup1_pdf_theory_uncertainty_fixed_mur.png$$y00006 The effect of using NLO or NNLO PDFs for the NNLO cross-section in the effective theory as a function of the factorization scale and for a fixed value of the renormalization scale. A shift is observed which varies little with the factorization scale.
002128781 8564_ $$81177646$$s6700$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_scale_scan_muf_fixed.png$$y00004 The dependence of the cross-section on the renormalization scale for a fixed value of the factorization scale.
002128781 8564_ $$81177647$$s4617$$uhttps://cds.cern.ch/record/2128781/files/pdf_comparison.png$$y00015 Higgs production cross-section and the relative PDF$+\alpha_s$ uncertainty at 68\% C.L. using the CT14, MMHT2014 and NNPDF3.0 sets, normalized by the central value obtained with the PDF4LHC15 combination.
002128781 8564_ $$81177648$$s5825$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_scale_var_per_order.png$$y00007 The dependence of the cross-section on a common renormalization and factorization scale $\mu = \mu_F = \mu_R$.
002128781 8564_ $$81177649$$s5933$$uhttps://cds.cern.ch/record/2128781/files/setup1_eft_vs_factorized.png$$y00009 Scale variation with $\mu = \mu_R=\mu_F$ at N$^3$LO within Setup 1 (solid line), compared to the factorized form of the cross-section where the Wilson coefficient and the coefficient functions are separately truncated to ${\cal O}(a_s^5)$ (dashed line).
002128781 8564_ $$81272798$$s1819513$$uhttps://cds.cern.ch/record/2128781/files/scoap3-fulltext.pdf$$ySpringer Open Access article
002128781 8564_ $$81177635$$s4423$$uhttps://cds.cern.ch/record/2128781/files/ew_corrections_study.png$$y00014 1w
002128781 8564_ $$82335292$$s1819513$$uhttps://cds.cern.ch/record/2128781/files/scoap.pdf$$yArticle from SCOAP3
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