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| CMS-PAS-HIG-18-001 | ||
| Measurements of properties of the Higgs boson in the four-lepton final state at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| June 2018 | ||
| Abstract: Properties of the Higgs boson are measured in the $\mathrm{H}\rightarrow{\mathrm{Z}}{\mathrm{Z}}\rightarrow4\ell$ ($\ell={\mathrm{e}},\mu$) decay channel. A data sample of proton-proton collisions at a center-of-mass energy of 13 TeV is used, corresponding to an integrated luminosity of 41.5 fb$^{-1}$ recorded in 2017 by the CMS detector at the LHC. The signal-strength modifier $\mu$, defined as the ratio of the observed Higgs boson rate in the $\mathrm{H}\rightarrow{\mathrm{Z}}{\mathrm{Z}}\rightarrow4\ell$ decay channel to the standard model expectation, is measured to be $\mu= $ 1.10$^{+0.19}_{-0.17}$ at $m_{\mathrm{H}}= $ 125.09 GeV, the combined ATLAS and CMS measurement of the Higgs boson mass. The signal-strength modifiers for the main Higgs boson production modes are also constrained. Combination with data recorded in 2016 by the CMS detector at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 35.9 fb$^{-1}$ is reported. All results are found to be compatible with the standard model predictions. | ||
| Links: CDS record (PDF) ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Signal relative purity of the seven event categories in terms of the seven main production mechanisms of the Higgs boson in a 118 $ < {m_{4\ell}} < $ 130 GeV mass window. The $ {{\mathrm {W}} {\mathrm {H}}}$, $ {{\mathrm {Z}} {\mathrm {H}}}$ and $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}}$ processes are split according to the decay of associated objects, whereby X denotes anything other than an electron or muon. |
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Figure 2:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell}}$ in the full mass range (left) and the low-mass range (right). Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. No events are observed with $ {m_{4\ell}} > $ 1.1 TeV. |
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Figure 2-a:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell}}$ in the full mass range (left) and the low-mass range (right). Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. No events are observed with $ {m_{4\ell}} > $ 1.1 TeV. |
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Figure 2-b:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell}}$ in the full mass range (left) and the low-mass range (right). Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. No events are observed with $ {m_{4\ell}} > $ 1.1 TeV. |
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Figure 3:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-a:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-b:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-c:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-d:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-e:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-f:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 3-g:
Distribution of the four-lepton reconstructed mass in the seven event categories for the low-mass range. (a) untagged category (b) VBF-1jet-tagged category (c) VBF-2jet-tagged category (d) VH-hadronic-tagged category (e) VH-leptonic-tagged category (f) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-hadronic-tagged category (g) $ {{\mathrm {t}}\bar{{\mathrm {t}}} {\mathrm {H}}} $-leptonic-tagged. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. For the categories other than the untagged category, the SM Higgs boson signal is separated into two components: the production mode that is targeted by the specific category, and other production modes, where the gluon fusion process dominates. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 4:
Distribution of the $ {\mathrm {Z}}_1$ (left) and $ {\mathrm {Z}}_2$ (center) reconstructed invariant masses and correlation between the two (right) in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV. The stacked histograms and the gray scale represent expected distributions of the signal and background processes, and points represent the data. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 4-a:
Distribution of the $ {\mathrm {Z}}_1$ (left) and $ {\mathrm {Z}}_2$ (center) reconstructed invariant masses and correlation between the two (right) in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV. The stacked histograms and the gray scale represent expected distributions of the signal and background processes, and points represent the data. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 4-b:
Distribution of the $ {\mathrm {Z}}_1$ (left) and $ {\mathrm {Z}}_2$ (center) reconstructed invariant masses and correlation between the two (right) in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV. The stacked histograms and the gray scale represent expected distributions of the signal and background processes, and points represent the data. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 4-c:
Distribution of the $ {\mathrm {Z}}_1$ (left) and $ {\mathrm {Z}}_2$ (center) reconstructed invariant masses and correlation between the two (right) in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV. The stacked histograms and the gray scale represent expected distributions of the signal and background processes, and points represent the data. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 5:
Distribution of categorization discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) $ {{\mathcal D}_{\mathrm 2jet}} $, (middle) ${{\mathcal D}_{\mathrm 1jet}}$, (right) ${{\mathcal D}_{\mathrm VH}} = max({{\mathcal D}_{\mathrm {{\mathrm {W}} {\mathrm {H}}}}}$, ${{\mathcal D}_{\mathrm {{\mathrm {Z}} {\mathrm {H}}}}})$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The vertical gray dashed lines denote the working points used in the event categorization. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 5-a:
Distribution of categorization discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) $ {{\mathcal D}_{\mathrm 2jet}} $, (middle) ${{\mathcal D}_{\mathrm 1jet}}$, (right) ${{\mathcal D}_{\mathrm VH}} = max({{\mathcal D}_{\mathrm {{\mathrm {W}} {\mathrm {H}}}}}$, ${{\mathcal D}_{\mathrm {{\mathrm {Z}} {\mathrm {H}}}}})$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The vertical gray dashed lines denote the working points used in the event categorization. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 5-b:
Distribution of categorization discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) $ {{\mathcal D}_{\mathrm 2jet}} $, (middle) ${{\mathcal D}_{\mathrm 1jet}}$, (right) ${{\mathcal D}_{\mathrm VH}} = max({{\mathcal D}_{\mathrm {{\mathrm {W}} {\mathrm {H}}}}}$, ${{\mathcal D}_{\mathrm {{\mathrm {Z}} {\mathrm {H}}}}})$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The vertical gray dashed lines denote the working points used in the event categorization. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 5-c:
Distribution of categorization discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) $ {{\mathcal D}_{\mathrm 2jet}} $, (middle) ${{\mathcal D}_{\mathrm 1jet}}$, (right) ${{\mathcal D}_{\mathrm VH}} = max({{\mathcal D}_{\mathrm {{\mathrm {W}} {\mathrm {H}}}}}$, ${{\mathcal D}_{\mathrm {{\mathrm {Z}} {\mathrm {H}}}}})$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The vertical gray dashed lines denote the working points used in the event categorization. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 6:
Distribution of three different kinematic discriminants versus $ {m_{4\ell}}$: $ {{\cal D}^{\mathrm kin}_{\mathrm bkg}} $ (left), $ {{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}} $ (middle) and $ {{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}} $ (right) shown in the mass region 100 $ < {m_{4\ell}} < $ 170 GeV. The gray scale represents the expected total number of $ {\mathrm {Z}} {\mathrm {Z}}$ and $ {\mathrm {Z}}$+X background and SM Higgs boson signal events for $ {m_{{\mathrm {H}}}} = $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. Different marker styles are used to denote the categorization of the events. |
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Figure 6-a:
Distribution of three different kinematic discriminants versus $ {m_{4\ell}}$: $ {{\cal D}^{\mathrm kin}_{\mathrm bkg}} $ (left), $ {{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}} $ (middle) and $ {{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}} $ (right) shown in the mass region 100 $ < {m_{4\ell}} < $ 170 GeV. The gray scale represents the expected total number of $ {\mathrm {Z}} {\mathrm {Z}}$ and $ {\mathrm {Z}}$+X background and SM Higgs boson signal events for $ {m_{{\mathrm {H}}}} = $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. Different marker styles are used to denote the categorization of the events. |
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Figure 6-b:
Distribution of three different kinematic discriminants versus $ {m_{4\ell}}$: $ {{\cal D}^{\mathrm kin}_{\mathrm bkg}} $ (left), $ {{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}} $ (middle) and $ {{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}} $ (right) shown in the mass region 100 $ < {m_{4\ell}} < $ 170 GeV. The gray scale represents the expected total number of $ {\mathrm {Z}} {\mathrm {Z}}$ and $ {\mathrm {Z}}$+X background and SM Higgs boson signal events for $ {m_{{\mathrm {H}}}} = $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. Different marker styles are used to denote the categorization of the events. |
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Figure 6-c:
Distribution of three different kinematic discriminants versus $ {m_{4\ell}}$: $ {{\cal D}^{\mathrm kin}_{\mathrm bkg}} $ (left), $ {{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}} $ (middle) and $ {{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}} $ (right) shown in the mass region 100 $ < {m_{4\ell}} < $ 170 GeV. The gray scale represents the expected total number of $ {\mathrm {Z}} {\mathrm {Z}}$ and $ {\mathrm {Z}}$+X background and SM Higgs boson signal events for $ {m_{{\mathrm {H}}}} = $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. Different marker styles are used to denote the categorization of the events. |
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Figure 7:
Distribution of kinematic discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) ${{\cal D}^{\mathrm kin}_{\mathrm bkg}}$, (middle) ${{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}}$, (right) ${{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}}$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. |
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Figure 7-a:
Distribution of kinematic discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) ${{\cal D}^{\mathrm kin}_{\mathrm bkg}}$, (middle) ${{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}}$, (right) ${{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}}$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. |
png pdf |
Figure 7-b:
Distribution of kinematic discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) ${{\cal D}^{\mathrm kin}_{\mathrm bkg}}$, (middle) ${{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}}$, (right) ${{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}}$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. |
png pdf |
Figure 7-c:
Distribution of kinematic discriminants in the mass region 118 $ < {m_{4\ell}} < $ 130 GeV: (left) ${{\cal D}^{\mathrm kin}_{\mathrm bkg}}$, (middle) ${{\mathcal {D}}^{\mathrm {VBF}+\mathrm {dec}}_{\mathrm {bkg}}}$, (right) ${{\mathcal {D}}^{\mathrm {VH}+\mathrm {dec}}_{\mathrm {bkg}}}$. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted by the specific discriminant, and other production modes, where the gluon fusion process dominates. |
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Figure 8:
(Top left) Observed values of the signal strength $\mu =\sigma /\sigma _{SM}$ for the seven event categories, compared to the combined $\mu $ shown as a vertical line with a filled band representing the uncertainty. The horizontal bars indicate the one standard deviation uncertainties. (Top right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the combined $\mu $ shown as a vertical line. The horizontal bars and the filled band indicate the $\pm $ 1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. (Bottom left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid and dashed contours show the 68% and 95% CL regions, respectively. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Bottom right) Results of the fit for simplified template cross sections for the stage 0 sub-processes, normalized to the SM prediction. |
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Figure 8-a:
(Top left) Observed values of the signal strength $\mu =\sigma /\sigma _{SM}$ for the seven event categories, compared to the combined $\mu $ shown as a vertical line with a filled band representing the uncertainty. The horizontal bars indicate the one standard deviation uncertainties. (Top right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the combined $\mu $ shown as a vertical line. The horizontal bars and the filled band indicate the $\pm $ 1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. (Bottom left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid and dashed contours show the 68% and 95% CL regions, respectively. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Bottom right) Results of the fit for simplified template cross sections for the stage 0 sub-processes, normalized to the SM prediction. |
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Figure 8-b:
(Top left) Observed values of the signal strength $\mu =\sigma /\sigma _{SM}$ for the seven event categories, compared to the combined $\mu $ shown as a vertical line with a filled band representing the uncertainty. The horizontal bars indicate the one standard deviation uncertainties. (Top right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the combined $\mu $ shown as a vertical line. The horizontal bars and the filled band indicate the $\pm $ 1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. (Bottom left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid and dashed contours show the 68% and 95% CL regions, respectively. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Bottom right) Results of the fit for simplified template cross sections for the stage 0 sub-processes, normalized to the SM prediction. |
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Figure 8-c:
(Top left) Observed values of the signal strength $\mu =\sigma /\sigma _{SM}$ for the seven event categories, compared to the combined $\mu $ shown as a vertical line with a filled band representing the uncertainty. The horizontal bars indicate the one standard deviation uncertainties. (Top right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the combined $\mu $ shown as a vertical line. The horizontal bars and the filled band indicate the $\pm $ 1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. (Bottom left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid and dashed contours show the 68% and 95% CL regions, respectively. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Bottom right) Results of the fit for simplified template cross sections for the stage 0 sub-processes, normalized to the SM prediction. |
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Figure 8-d:
(Top left) Observed values of the signal strength $\mu =\sigma /\sigma _{SM}$ for the seven event categories, compared to the combined $\mu $ shown as a vertical line with a filled band representing the uncertainty. The horizontal bars indicate the one standard deviation uncertainties. (Top right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the combined $\mu $ shown as a vertical line. The horizontal bars and the filled band indicate the $\pm $ 1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. (Bottom left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid and dashed contours show the 68% and 95% CL regions, respectively. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Bottom right) Results of the fit for simplified template cross sections for the stage 0 sub-processes, normalized to the SM prediction. |
png pdf |
Figure 9:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell}}$ in the full mass range combining 2016 and 2017. Points with error bars represent the data and stacked histograms represent expected distributions of the signal and background processes. The SM Higgs boson signal with $ {m_{{\mathrm {H}}}} = $ 125 GeV, denoted as ${\mathrm H}(125)$, and the $ {\mathrm {Z}} {\mathrm {Z}}$ backgrounds are normalized to the SM expectation, the $ {\mathrm {Z}}$+X background to the estimation from data. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. No events are observed with $ {m_{4\ell}} > $ 1.1 TeV. |
png pdf |
Figure 10:
(Left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid contours show the 68% CL regions. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the SM expectation shown as a vertical dashed line. The horizontal bars indicate the $\pm $1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. The measurements of the global signal strength $\mu $ are also shown. |
png pdf |
Figure 10-a:
(Left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid contours show the 68% CL regions. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the SM expectation shown as a vertical dashed line. The horizontal bars indicate the $\pm $1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. The measurements of the global signal strength $\mu $ are also shown. |
png pdf |
Figure 10-b:
(Left) Result of the 2D likelihood scan for the $ {\mu _{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}},\, {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {H}}, {{\mathrm {b}}\bar{{\mathrm {b}}} {\mathrm {H}}}, {{\mathrm {t}} {\mathrm {q}} {\mathrm {H}}}}} $ and $ {\mu _{\mathrm {VBF},\mathrm {V {\mathrm {H}}}}} $ signal-strength modifiers. The solid contours show the 68% CL regions. The cross indicates the best-fit value, and the diamond represents the expected value for the SM Higgs boson. (Right) Results of likelihood scans for the signal-strength modifiers corresponding to the main SM Higgs boson production modes, compared to the SM expectation shown as a vertical dashed line. The horizontal bars indicate the $\pm $1$\sigma $ uncertainties. The uncertainties include both statistical and systematic sources. The measurements of the global signal strength $\mu $ are also shown. |
| Tables | |
png pdf |
Table 1:
The number of expected background and signal events and number of observed candidates after full analysis selection, for each final state, for the full mass range $ {m_{4\ell}} > $ 70 GeV and for an integrated luminosity of 41.5 fb$^{-1}$. Signal and ZZ backgrounds are estimated from Monte Carlo simulation, $ {\mathrm {Z}}$+X is estimated from data. The uncertainties include both statistical and systematic sources. |
png pdf |
Table 2:
The number of expected background and signal events and number of observed candidates after full analysis selection, for each event category, for the mass range 118 $ < {m_{4\ell}} < $ 130 GeV and for an integrated luminosity of 41.5 fb$^{-1}$. The yields are given for the different production modes. Signal and ZZ backgrounds are estimated from Monte Carlo simulation, $ {\mathrm {Z}}$+X is estimated from data. The uncertainties include both statistical and systematic sources. |
png pdf |
Table 3:
Expected and observed signal-strength modifiers with 2017 data. |
png pdf |
Table 4:
Expected and observed signal-strength modifiers for combined 2016 and 2017 data. |
| Summary |
| Several measurements of Higgs boson production in the four-lepton final state at $\sqrt{s} = $ 13 TeV have been presented, using data samples corresponding to an integrated luminosity of 41.5 fb$^{-1}$. The measured signal strength modifier is $\mu = $ 1.10$^{+0.19}_{-0.17} $, and the measured signal strength modifiers associated with fermions and vector bosons are ${\mu_{\mathrm{g}\mathrm{g}\mathrm{H},\,\mathrm{t\bar{t}}\mathrm{H},{{\mathrm{b}}\bar{{\mathrm{b}}}\mathrm{H}},{{\mathrm{t}}{\mathrm{q}}\mathrm{H}}}} = $ 1.11$^{+0.23}_{-0.21}$ and ${\mu_{\mathrm{VBF},\mathrm{V\mathrm{H}}}} = $ 1.00$^{+0.96}_{-0.71}$, respectively. Results based on data collected in 2016 and 2017 are combined and the measured signal strength modifier is $\mu = $ 1.06$^{+0.15}_{-0.13}$. All results are consistent, within their uncertainties, with the expectations for the SM Higgs boson. |
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