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CMS-HIG-16-042 ; CERN-EP-2018-141
Measurements of properties of the Higgs boson decaying to a W boson pair in pp collisions at $\sqrt{s} = $ 13 TeV
Phys. Lett. B 791 (2019) 96
Abstract: Measurements of the production of the standard model Higgs boson decaying to a W boson pair are reported. The $\mathrm{W^{+}}\mathrm{W^{-}}$ candidates are selected in events with an oppositely charged lepton pair, large missing transverse momentum, and various numbers of jets. To select Higgs bosons produced via vector boson fusion and associated production with a W or Z boson, events with two jets and three or four leptons are also selected. The event sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ , collected in pp collisions at $\sqrt{s} = $ 13 TeV by the CMS detector at the LHC during 2016. Combining all channels, the observed cross section times branching fraction is 1.28$^{+0.18}_{-0.17}$ times the standard model prediction for the Higgs boson with a mass of 125.09 GeV. The probability of observing a signal at least as large as the one seen, under the background-only hypothesis, corresponds to an observed significance of 9.1 standard deviations, to be compared with the expected value of 7.1 standard deviations.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ and $ {m_\mathrm {T}} $ for DF events with 0 jets and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV (upper row) or $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV (lower row). The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 1-a:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ for DF events with 0 jets and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 1-b:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_\mathrm {T}} $ for DF events with 0 jets and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 1-c:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ for DF events with 0 jets and $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 1-d:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_\mathrm {T}} $ for DF events with 0 jets and $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 2:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ and $ {m_\mathrm {T}} $ for DF events with 1 jet and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV (upper row) or $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV (lower row). The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 2-a:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ for DF events with 1 jet and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 2-b:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_\mathrm {T}} $ for DF events with 1 jet and $ {p_{\mathrm {T}}} {_{2}} < $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 2-c:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ for DF events with 1 jet and $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 2-d:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_\mathrm {T}} $ for DF events with 1 jet and $ {p_{\mathrm {T}}} {_{2}} > $ 20 GeV. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The various lepton flavor and charge subcategories are also merged and weighted according to their $\mathrm {S/(S+B)}$ value. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 3:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ and $ {m_\mathrm {T}} $ for DF events with at least 2 jets. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 3-a:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_{\ell \ell}} $ for DF events with at least 2 jets. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 3-b:
Postfit number of weighted events ($N_\mathrm {w}$) as a function of $ {m_\mathrm {T}} $ for DF events with at least 2 jets. The number of events is weighted according to the $\mathrm {S/(S+B)}$ ratio in each bin of one of the two variables, integrating over the other one. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 4:
Postfit number of events as a function of $ {m_{\ell \ell}} $ with VBF topology, for 400 $ < {m_{jj}} < $ 700 GeV (left) and $ {m_{jj}} > $ 700 GeV (right). The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 4-a:
Postfit number of events as a function of $ {m_{\ell \ell}} $ with VBF topology, for 400 $ < {m_{jj}} < $ 700 GeV. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 4-b:
Postfit number of events as a function of $ {m_{\ell \ell}} $ with VBF topology, for $ {m_{jj}} > $ 700 GeV (right). The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 5:
Postfit number of events as a function of $ {m_{\ell \ell}} $ for DF events in the 2-jets VH-tagged category. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 6:
Postfit $\Delta R_{\ell \ell}$ distribution for events in the three-lepton WH-tagged category, split in the OSSF (left) and SSSF (right) subcategories. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 6-a:
Postfit $\Delta R_{\ell \ell}$ distribution for events in the three-lepton WH-tagged category, in the OSSF subcategory. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 6-b:
Postfit $\Delta R_{\ell \ell}$ distribution for events in the three-lepton WH-tagged category, in the SSSF subcategory. The contributions of the main background processes (stacked histograms) and the SM Higgs boson signal (superimposed and stacked red histograms) remaining after all selection criteria are shown. The dashed gray band accounts for all systematic uncertainties relative to signal and background yields after the fit.

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Figure 7:
Expected relative fraction of different Higgs boson production mechanisms in each category included in the combination, together with the expected signal yield.

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Figure 8:
Observed and expected likelihood profiles for the global signal strength modifier. Dashed curves correspond to the likelihood profiles obtained including only the statistical uncertainty. The crossings with the horizontal line at $-2\Delta {\mathrm{ln}} L = $ 1 (3.84) define the 68 (95)% {\text {CL}} interval.

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Figure 9:
(Left) Observed signal strength modifiers for each category used in the combination. (Right) Observed signal strength modifiers corresponding to the main SM Higgs boson production mechanisms, for a Higgs boson with a mass of 125.09 GeV. The vertical continuous line represents the combined signal strength best fit value, while the horizontal bars and the filled area show the 68% confidence intervals. The vertical dashed line corresponds to the SM expectation.

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Figure 9-a:
Observed signal strength modifiers for each category used in the combination. The vertical continuous line represents the combined signal strength best fit value, while the horizontal bars and the filled area show the 68% confidence intervals. The vertical dashed line corresponds to the SM expectation.

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Figure 9-b:
Observed signal strength modifiers corresponding to the main SM Higgs boson production mechanisms, for a Higgs boson with a mass of 125.09 GeV. The vertical continuous line represents the combined signal strength best fit value, while the horizontal bars and the filled area show the 68% confidence intervals. The vertical dashed line corresponds to the SM expectation.

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Figure 10:
Observed cross sections for the main Higgs boson production modes, normalized to the SM predictions. Cross section ratios are measured in a simplified fiducial phase space defined requiring $y_{{\mathrm {H}}} < 2.5$, as specified in the "stage-0'' simplified template cross section framework. The vertical line and band correspond to the SM prediction and associated theoretical uncertainty.

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Figure 11:
Two-dimensional likelihood profile as a function of (left) the signal strength modifiers associated with either fermion ($\mu {_\mathrm {F}}$) or vector boson ($\mu {_\mathrm {V}}$) couplings, and (right) the coupling modifiers associated with either fermion ($\kappa {_\mathrm {F}}$) or vector boson ($\kappa {_\mathrm {V}}$) vertices, using the $\kappa $-framework parametrization. The 68% and 95% {\text {CL}} contours are shown as continuous and dashed lines, respectively. The red circle represents the best fit value, while the black triangle corresponds to the SM prediction.

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Figure 11-a:
Two-dimensional likelihood profile as a function of the signal strength modifiers associated with either fermion ($\mu {_\mathrm {F}}$) or vector boson ($\mu {_\mathrm {V}}$) couplings. The 68% and 95% {\text {CL}} contours are shown as continuous and dashed lines, respectively. The red circle represents the best fit value, while the black triangle corresponds to the SM prediction.

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Figure 11-b:
Two-dimensional likelihood profile as a function of the coupling modifiers associated with either fermion ($\kappa {_\mathrm {F}}$) or vector boson ($\kappa {_\mathrm {V}}$) vertices, using the $\kappa $-framework parametrization.
Tables

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Table 1:
Analysis categorization and event requirements for the 0-, 1-, and 2-jet ggH-tagged categories in the DF dilepton final state. The phase spaces defined by the 0-, 1-, and 2-jet ggH-tagged requirements correspond to the events shown in Figs. 1, 2, and 3, respectively.

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Table 2:
Analysis categorization and event requirements for the 2-jet VBF-tagged category, in the DF dilepton final state. The phase spaces defined by the 2-jet VBF-tagged requirements correspond to the events shown in Fig. 4.

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Table 3:
Analysis categorization and event requirements for the 2-jet VH-tagged category, in the DF dilepton final state. The phase space defined by the 2-jet VH-tagged requirements corresponds to the events shown in Fig. 5.

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Table 4:
Analysis categorization and selections for the 0- and 1- jet ggH-tagged categories in the SF dilepton final state.

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Table 5:
Analysis categorization and event requirements for the WH-tagged category, in the three-lepton final state. Here, $ {\text {min-}m_{\ell ^+\ell ^-}} $ is the minimum $ {m_{\ell \ell}} $ between the oppositely charged leptons. For the Z boson veto, the pair with the $ {m_{\ell \ell}} $ closest to the Z boson mass is considered. Events that fulfill the three-lepton WH-tagged requirements correspond to the signal phase space shown in Fig. 6.

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Table 6:
Analysis categorization and event requirements for the ZH-tagged category, in the four-lepton final state. Here, X is defined as the remaining lepton pair after the Z boson candidate is chosen. The component leptons of X can be either same-flavor (XSF) or different-flavor (XDF).

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Table 7:
Data-to-simulation scale factors for the top quark background normalization in seven different control regions.

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Table 8:
Data-to-simulation scale factors for the $\mathrm {DY}\to {{\tau}^{+} {\tau}^{-}} $ background normalization in DF control regions.

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Table 9:
Scale factors for the nonresonant WW background normalization.

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Table 10:
Number of expected signal and background events and number of observed events in the 0- and 1-jet categories after the full event selection. Postfit event yields are also shown in parentheses, corresponding to the result of a simultaneous fit to all categories assuming that the relative proportions for the different production mechanisms are those predicted by the SM. The individual signal yields are given for different production mechanisms. The total uncertainty accounts for all sources of uncertainty in signal and background yields after the fit.

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Table 11:
Number of expected signal and background events and number of observed events in the 2-jet, 3-lepton, and 4-lepton categories after the full event selection. Postfit event yields are also shown in parentheses, corresponding to the result of a simultaneous fit to all categories assuming that the relative proportions for the different production mechanisms are those predicted by the SM. The individual signal yields are given for different production mechanisms. For the 3-lepton WH-tagged category, the "Other diboson'' background includes mainly WZ production, with a 10% contribution from ZZ events. For the 4-lepton ZH-tagged category, $ {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {W}}$ and $ {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {Z}} $ are included in the top quark process, while the "Other diboson'' background mainly comes from ZZ production. The total uncertainty accounts for all sources of uncertainty in signal and background yields after the fit.
Summary
Measurements of the properties of the SM Higgs boson decaying to a W boson pair at the LHC have been reported. The data samples used in the analysis correspond to an integrated luminosity of 35.9 fb$^{-1}$ collected by the CMS detector in proton-proton collisions at $\sqrt{s} = $ 13 TeV.

The $\mathrm{W^{+}}\mathrm{W^{-}}$ candidates are selected in events with large missing transverse momentum and exactly two, three, or four leptons. In the case of events with two leptons, different categories are defined according to the lepton pair flavor, $\mathrm{e}\mu$, $\mathrm{e}\mathrm{e}$, or $\mu\mathrm{e}$. The analysis has specific categories for gluon fusion production, vector boson fusion, and vector boson associated production, with up to two jets in the final state.

The probability of observing a signal at least as large as the one seen by combining all channels, under the background-only hypothesis, corresponds to an observed significance of 9.1 standard deviations for $m_{\mathrm{H}} = $ 125.09 GeV, to be compared with the expected value of 7.1 standard deviations. The observed global signal strength modifier is $\sigma/\sigma{_\mathrm{SM}} = \mu = $ 1.28 $^{+0.18}_{-0.17}$ $=$ 1.28 $\pm$ 0.10 (stat) $\pm$ 0.11 (syst) $^{+0.10}_{-0.07}$ (theo). Measurements of the signal strength modifiers associated with the main Higgs boson production mechanisms are also performed, as well as measurements of the Higgs boson couplings to fermions and vector bosons. The measured Higgs boson production and decay properties are found to be consistent, within their uncertainties, with the SM expectation.
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Compact Muon Solenoid
LHC, CERN