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| CMS-PAS-HIG-16-041 | ||
| Measurements of properties of the Higgs boson in the four-lepton final state at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| March 2017 | ||
| Abstract: Properties of the Higgs boson are measured in the $\mathrm{H}\rightarrow{\rm Z}{\rm Z}\rightarrow4\ell$ ($\ell={\rm e},\mu$) 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 35.9 fb$^{-1}$ recorded by the CMS detector at the LHC. The signal-strength modifier $\mu$, defined as the production cross section of the Higgs boson times its branching fraction to four leptons relative to the standard model expectation, is measured to be $ \mu = $ 1.05$^{+0.19}_{-0.17}$ at $m_{\mathrm{H}} = $ 125.09 GeV. The signal-strength modifiers for the main Higgs boson production modes have also been constrained. The mass is measured to be $ m_{ \mathrm { H } } = $ 125.26 $ \pm $ 0.21 GeV and the width is constrained using on-shell production to be $ \Gamma_{\mathrm{H}}< $ 1.10 GeV, at 95% CL. The fiducial cross section is measured to be 2.90$^{+0.48}_{-0.44}$ (stat.) $^{+0.27}_{-0.22}$ (sys.) fb, which is compatible with the standard model prediction of 2.72 $\pm$ 0.14 fb. Differential cross sections as a function of the $p_{\rm T}$ of the Higgs boson, the number of associated jets, and the $p_{\rm T}$ of the leading associated jet are determined. | ||
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These preliminary results are superseded in this paper, JHEP 11 (2017) 047. The superseded preliminary plots can be found here. |
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| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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| Figures | |
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Figure 1:
Signal relative purity of the seven event categories in terms of the 5 main production mechanisms of the Higgs boson in a 118 $ < {m_{4\ell }}< $ 130 GeV 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:
Difference between the ${\rm Z}\rightarrow \ell \ell $ mass peak positions in data and simulation normalized by the nominal Z boson mass obtained as a function of the $ {p_{\mathrm {T}}} $ and $|\eta |$ of one of the leptons regardless of the second for muons (left) and electrons (right). |
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Figure 2-a:
Difference between the ${\rm Z}\rightarrow \ell \ell $ mass peak positions in data and simulation normalized by the nominal Z boson mass obtained as a function of the $ {p_{\mathrm {T}}} $ and $|\eta |$ of one of the leptons regardless of the second for muons. |
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Figure 2-b:
Difference between the ${\rm Z}\rightarrow \ell \ell $ mass peak positions in data and simulation normalized by the nominal Z boson mass obtained as a function of the $ {p_{\mathrm {T}}} $ and $|\eta |$ of one of the leptons regardless of the second for electrons. |
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Figure 3:
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. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 TeV. |
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Figure 3-a:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell }}$ in the full mass range. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 TeV. |
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Figure 3-b:
Distribution of the four-lepton reconstructed invariant mass $ {m_{4\ell }}$ in the low-mass range. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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:
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) VH-MET-tagged category (g) ttH-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 which is targeted by the specific category, and other production modes which is always dominated by the gluon fusion process. 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-a:
Distribution of the four-lepton reconstructed mass in the untagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. 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-b:
Distribution of the four-lepton reconstructed mass in the VBF-1jet-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. 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-c:
Distribution of the four-lepton reconstructed mass in the VBF-2jet-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. 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-d:
Distribution of the four-lepton reconstructed mass in the VH-hadronic-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. 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-e:
Distribution of the four-lepton reconstructed mass in the VH-leptonic-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. 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-f:
Distribution of the four-lepton reconstructed mass in the VH-MET-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. 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-g:
Distribution of the four-lepton reconstructed mass in the ttH-tagged category. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}=$ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the Z+X background to the estimation from data. The SM Higgs boson signal is separated into two components: the production mode which is targeted, and other production modes which is always dominated by the gluon fusion process. The order in pertubation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 5:
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, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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-a:
Correlation between $\mathrm{ Z } _1$ and $\mathrm{ Z } _2$ reconstructed invariant masses in the mass region 118 $ < {m_{4\ell }}< $ 130 GeV. The stacked histograms and the gray scale represent expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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-b:
Distribution of the $\mathrm{ Z } _2$ reconstructed invariant mass in the mass region 118 $ < {m_{4\ell }}< $ 130 GeV. The stacked histograms and the gray scale represent expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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-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, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 6:
Distribution of $ {{\cal D}^{\rm kin}_{\rm bkg}} $ versus $ {m_{4\ell }}$ in the mass region 100 $ < {m_{4\ell }}< $ 170 GeV. The gray scale represents the expected total number of ZZ 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 categorization discriminants in the mass region 118 $ < {m_{4\ell }} < $ 130 GeV. (Left) $ {{\mathcal D}_{\rm 2jet}} $ . (Middle) $ {{\mathcal D}_{\rm 1jet}} $ . (Right) ${{\mathcal D}_{\rm VH}} = max( {{\mathcal D}_{\rm {\mathrm{ W } \mathrm{ H } }}} $, ${{\mathcal D}_{\rm {\mathrm{ Z } \mathrm{ H } }}} $). Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 which is always dominated by the gluon fusion process. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 7-a:
Distribution of the $ {{\mathcal D}_{\rm 2jet}} $ categorization discriminant in the mass region 118 $ < {m_{4\ell }} < $ 130 GeV. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 which is always dominated by the gluon fusion process. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 7-b:
Distribution of the $ {{\mathcal D}_{\rm 1jet}} $ categorization discriminant in the mass region 118 $ < {m_{4\ell }} < $ 130 GeV. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 which is always dominated by the gluon fusion process. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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Figure 7-c:
Distribution of the ${{\mathcal D}_{\rm VH}} = max( {{\mathcal D}_{\rm {\mathrm{ W } \mathrm{ H } }}} $, ${{\mathcal D}_{\rm {\mathrm{ Z } \mathrm{ H } }}} $) categorization discriminant in the mass region 118 $ < {m_{4\ell }} < $ 130 GeV. Points with error bars represent the data and stacked histograms represent expected distributions. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation, the 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 which is always dominated by the gluon fusion process. The order in perturbation theory used for the normalization of the irreducible backgrounds is described in Section 7.1. |
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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. The horizontal bars and the filled band indicate the $\pm $1$\sigma $ 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 } {}\mathrm{ \bar{t} } } \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 values, and the diamond represents the expected values 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:
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. The horizontal bars and the filled band indicate the $\pm $1$\sigma $ uncertainties. |
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Figure 8-b:
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. |
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Figure 8-c:
Result of the 2D likelihood scan for the $ {\mu _{\mathrm{g} \mathrm{g} \mathrm{ H } , {\mathrm{ t } {}\mathrm{ \bar{t} } } \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 values, and the diamond represents the expected values for the SM Higgs boson. |
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Figure 8-d:
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 9:
The measured fiducial cross section as a function of $\sqrt {s}$ (top left). The acceptance is calculated using POWHEG at $\sqrt {s}= $ 13 TeV and HRes [50,52] at $\sqrt {s}= $ 7 and 8 TeV and the total gluon fusion cross section and uncertainty are taken from Ref. [24]. The fiducial volume for $\sqrt {s}= $ 6-9 TeV uses the lepton isolation definition from Ref. [18], while for $\sqrt {s} = $ 12-14 TeV the definition described in the text is used. The results of the differential cross section measurement for $ {p_{\mathrm {T}}} ({\rm H})$ (top right), N(jets) (bottom left) and $ {p_{\mathrm {T}}} ({\rm jet})$ (bottom right). The acceptance and theoretical uncertainties in the differential bins are are calculated using POWHEG . The sub-dominant component of the the signal (VBF $+$ VH $+ {\mathrm{ t } \bar{\mathrm{ t } }\mathrm{ H } }$) is denoted as XH. |
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Figure 9-a:
The measured fiducial cross section as a function of $\sqrt {s}$ (top left). The acceptance is calculated using POWHEG at $\sqrt {s}= $ 13 TeV and HRes [50,52] at $\sqrt {s}= $ 7 and 8 TeV and the total gluon fusion cross section and uncertainty are taken from Ref. [24]. The fiducial volume for $\sqrt {s}= $ 6-9 TeV uses the lepton isolation definition from Ref. [18], while for $\sqrt {s} = $ 12-14 TeV the definition described in the text is used. |
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Figure 9-b:
The results of the differential cross section measurement for $ {p_{\mathrm {T}}} ({\rm H})$. The acceptance and theoretical uncertainties in the differential bins are are calculated using POWHEG . The sub-dominant component of the the signal (VBF $+$ VH $+ {\mathrm{ t } \bar{\mathrm{ t } }\mathrm{ H } }$) is denoted as XH. |
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Figure 9-c:
The results of the differential cross section measurement for N(jets). The acceptance and theoretical uncertainties in the differential bins are are calculated using POWHEG . The sub-dominant component of the the signal (VBF $+$ VH $+ {\mathrm{ t } \bar{\mathrm{ t } }\mathrm{ H } }$) is denoted as XH. |
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Figure 9-d:
The results of the differential cross section measurement for $ {p_{\mathrm {T}}} ({\rm jet})$. The acceptance and theoretical uncertainties in the differential bins are are calculated using POWHEG . The sub-dominant component of the the signal (VBF $+$ VH $+ {\mathrm{ t } \bar{\mathrm{ t } }\mathrm{ H } }$) is denoted as XH. |
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Figure 10:
Left: 1D likelihood scan as a function of mass for the 1D, 2D, and 3D measurement. Right: 1D likelihood scan as a function of mass for the different final states and the combination of all final states for the 3D measurement. The likelihood scans are shown for the mass measurement using the refitted mass distribution with $m(\mathrm{ Z } _1)$ constraint. Solid lines represents the scan with full uncertainties included, dashed lines statistical uncertainty only. |
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Figure 10-a:
1D likelihood scan as a function of mass for the 1D, 2D, and 3D measurement. The likelihood scan is shown for the mass measurement using the refitted mass distribution with $m(\mathrm{ Z } _1)$ constraint. Solid lines represents the scan with full uncertainties included, dashed lines statistical uncertainty only. |
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Figure 10-b:
1D likelihood scan as a function of mass for the different final states and the combination of all final states for the 3D measurement. The likelihood scan is shown for the mass measurement using the refitted mass distribution with $m(\mathrm{ Z } _1)$ constraint. Solid lines represents the scan with full uncertainties included, dashed lines statistical uncertainty only. |
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Figure 11:
(Left) Observed likelihood scan of $m_{\rm H}$ and $\Gamma _{\rm H}$ using the signal range 105 $ < m_{4\ell } < $ 140 GeV. (Right) Observed and expected likelihood scan of $\Gamma _{\rm H}$ using the signal range 105 $ < m_{4\ell } < $ 140 GeV, with $m_{\rm H}$ floated. |
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Figure 11-a:
Observed likelihood scan of $m_{\rm H}$ and $\Gamma _{\rm H}$ using the signal range 105 $ < m_{4\ell } < $ 140 GeV. |
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Figure 11-b:
Observed and expected likelihood scan of $\Gamma _{\rm H}$ using the signal range 105 $ < m_{4\ell } < $ 140 GeV, with $m_{\rm H}$ floated. |
| Tables | |
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Table 1:
The number of expected background and signal events and number observed candidates after full analysis selection, for each final state, for the full mass range $ {m_{4\ell }}> $ 70 GeV, for an integrated luminosity of 35.9fb$^{-1}$. Signal and ZZ backgrounds are estimated from Monte Carlo simulation, Z+X is estimated from data. |
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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, for an integrated luminosity of 35.9fb$^{-1}$. The yields are given for the different production modes. Signal and ZZ backgrounds are estimated from Monte Carlo simulation, Z+X is estimated from data. |
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Table 3:
Expected and observed signal-strength modifiers. |
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Table 4:
Summary of requirements and selections used in the definition of the fiducial phase space for the $ {\mathrm{ H } \to 4\ell }$ cross section measurements. |
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Table 5:
Summary of different SM signal models. For all production modes the values given are for $m_{\rm H}=$ 125 GeV. The uncertainties listed are statistical uncertainties only, and the statistical uncertainty on the acceptance is $\sim $0.001. |
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Table 6:
Best fit values for the mass of the Higgs boson measured in the $4\ell $, $\ell =\mathrm{ e } ,\mu $ final states, with 1D, 2D and 3D fit, respectively, as described in the text. All mass values are given in GeV. The uncertainties are the total statistical plus systematic uncertainty. The expected $ {m_{\mathrm{ H } }}$ uncertainty change shows the change in expected precision on the measurement for the different fit scenarios, relative to 3D ${\cal L}(m'_{4l},\mathrm {{\cal D}'_{\rm mass}} , {{\cal D}^{\rm kin}_{\rm bkg}} )$. |
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Table 7:
Summary of allowed 68%CL (central values with uncertainties) and 95%CL (ranges in square brackets) intervals on the width $\Gamma _{\rm H}$ of the Higgs boson. The expected results are quoted for the SM signal production cross section ($\mu _{\rm VBF,VH}=\mu _{\rm ggH,t\bar{t}H}= $ 1) and the values of $m_{\rm H}= $ 125 GeV and $\Gamma _{\rm H}= $ 0.0041 GeV. |
| 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 35.9 fb$^{-1}$. The measured signal strength modifier is $\mu =$ 1.05$^{+0.19}_{-0.17}$ = 1.05$^{+0.15}_{-0.14}$ (stat.) $^{+0.11}_{-0.09}$ (sys.), and the measured signal strength modifiers associated with fermions and vector bosons are ${\mu_{\mathrm{gg}\mathrm{ H },\,\mathrm{ t \bar{t} }\mathrm{ H }}} =$ 1.20$^{+0.35}_{-0.31}$ and ${\mu_{\mathrm{VBF},\mathrm{V\mathrm{ H }}}} =$ 0.00$^{+1.37}_{-0.00}$, respectively. The fiducial cross section at $ \sqrt{s} = $ 13 TeV for this boson is measured to be 2.90$^{+0.48}_{-0.44} $ (stat.) $^{+0.27}_{-0.22}$ (sys.) fb. The mass is measured to be $m_{{\rm H}}=$ 125.26 $\pm$ 0.20 (stat.) $\pm$ 0.08 (sys.) GeV and the width is constrained to be $\Gamma_{{\rm H}}< $ 1.10 GeV at 95% CL. All results are consistent, within their uncertainties, with the expectations for the SM Higgs boson. |
| Additional Figures | |
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Additional Figure 1:
Distributions of $m_{4\ell }$ in the region 70 $ < m_{4\ell } < $ 170 GeV for the 4e (left), 4$\mu $ (middle) and 2e2$\mu $ (right) final states. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 1-a:
Distributions of $m_{4\ell }$ in the region 70 $ < m_{4\ell } < $ 170 GeV for the 4e final state. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 1-b:
Distributions of $m_{4\ell }$ in the region 70 $ < m_{4\ell } < $ 170 GeV for the 4$\mu $ final state. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 1-c:
Distributions of $m_{4\ell }$ in the region 70 $ < m_{4\ell } < $ 170 GeV for the 2e2$\mu $ final state. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 2:
Distributions of $m_{4\ell }$ in the region $m_{4\ell }>$ 70 GeV for the 4e (left), 4$\mu $ (middle) and 2e2$\mu $ (right) final states. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 2-a:
Distributions of $m_{4\ell }$ in the region $m_{4\ell }>$ 70 GeV for the 4e final states. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 2-b:
Distributions of $m_{4\ell }$ in the region $m_{4\ell }>$ 70 GeV for the 4$\mu $ final states. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 2-c:
Distributions of $m_{4\ell }$ in the region $m_{4\ell }>$ 70 GeV for the 2e2$\mu $ final states. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 3:
Distribution of $m_{4\ell }$ in the region 70 $ < m_{4\ell } < $ 170 GeV after requiring ${\cal D}^{\rm kin}_{\rm bkg}> $ 0.5. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 4:
Distribution of the $\mathrm{ Z } _1$ (a) and $\mathrm{ Z } _2$ (b) reconstructed invariant masses in the region $m_{4\ell }>$ 70 GeV. The stacked histograms represent expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. (c) Correlation between the reconstructed invariant masses $\mathrm{ Z } _1$ and $\mathrm{ Z } _2$ in the region $m_{4\ell }>$ 70 GeV. The gray scale represents the expected total number of ZZ background and Higgs boson signal events for $m_{\rm H}= $ 125 GeV. |
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Additional Figure 4-a:
Distribution of the $\mathrm{ Z } _1$ reconstructed invariant masses in the region $m_{4\ell }>$ 70 GeV. The stacked histograms represent expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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Additional Figure 4-b:
Distribution of the $\mathrm{ Z } _2$ reconstructed invariant masses in the region $m_{4\ell }>$ 70 GeV. The stacked histograms represent expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
png pdf |
Additional Figure 4-c:
Correlation between the reconstructed invariant masses $\mathrm{ Z } _1$ and $\mathrm{ Z } _2$ in the region $m_{4\ell }>$ 70 GeV. The gray scale represents the expected total number of ZZ background and Higgs boson signal events for $m_{\rm H}= $ 125 GeV. |
png pdf |
Additional Figure 5:
(a) Distribution of ${\cal D}^{\rm kin}_{\rm bkg}$ in the region $m_{4\ell }>$ 70 GeV. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. (b) 2D distribution of ${\cal D}^{\rm kin}_{\rm bkg}$ vs $m_{4\ell }$ in the region 170 $ < m_{4\ell } < $ 1000 GeV. The gray scale represents the expected total number of ZZ background and Higgs boson signal events for $m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. |
png pdf |
Additional Figure 5-a:
Distribution of ${\cal D}^{\rm kin}_{\rm bkg}$ in the region $m_{4\ell }>$ 70 GeV. The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
png pdf |
Additional Figure 5-b:
2D distribution of ${\cal D}^{\rm kin}_{\rm bkg}$ vs $m_{4\ell }$ in the region 170 $ < m_{4\ell } < $ 1000 GeV. The gray scale represents the expected total number of ZZ background and Higgs boson signal events for $m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. |
png pdf |
Additional Figure 6:
2D distributions of ${\mathcal D}_{\rm 1jet}$ (a), ${\mathcal D}_{\rm 2jet}$ (b), ${\mathcal D}_{\rm VH}$ (c) vs $m_{4\ell }$ in the region 100$ < m_{4\ell } < $ 170 GeV. The gray scale represents the expected relative density of ZZ background plus Higgs boson signal for$m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. The gray dashed lines denote the working points used in the event categorization and different marker styles are used to denote the final categorization of the events. |
png pdf |
Additional Figure 6-a:
2D distribution of ${\mathcal D}_{\rm 1jet}$ vs $m_{4\ell }$ in the region 100 $ < m_{4\ell } < $ 170 GeV. The gray scale represents the expected relative density of ZZ background plus Higgs boson signal for$m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. The gray dashed lines denote the working points used in the event categorization and different marker styles are used to denote the final categorization of the events. |
png pdf |
Additional Figure 6-b:
2D distribution of ${\mathcal D}_{\rm 2jet}$ s $m_{4\ell }$ in the region 100 $ < m_{4\ell } < $ 170 GeV. The gray scale represents the expected relative density of ZZ background plus Higgs boson signal for$m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. The gray dashed lines denote the working points used in the event categorization and different marker styles are used to denote the final categorization of the events. |
png pdf |
Additional Figure 6-c:
2D distribution of ${\mathcal D}_{\rm VH}$ vs $m_{4\ell }$ in the region 100 $ < m_{4\ell } < $ 170 GeV. The gray scale represents the expected relative density of ZZ background plus Higgs boson signal for$m_{\rm H}= $ 125 GeV. The points show the data and the horizontal bars represent the measured event-by-event mass uncertainties. The gray dashed lines denote the working points used in the event categorization and different marker styles are used to denote the final categorization of the events. |
png pdf |
Additional Figure 7:
Comparison of measured mass resolution with the predicted dilepton mass resolution using the event-by-event mass uncertainty for $\mathrm{ Z } \to \ell \ell $ events in data. The dashed lines denote a $\pm$20% region, used as the systematic uncertainty on the resolution. |
png pdf |
Additional Figure 8:
Comparison of the four-lepton mass for simulated Higgs boson events with $m_{\rm H}= $ 125 GeV in the 4$\mu $ final state with and without the kinematic refit using $m({\rm Z}_1)$ constraint. |
png pdf |
Additional Figure 9:
Comparison of the four-lepton mass for simulated Higgs boson events with $m_{\rm H}= $ 125 GeV in the 4e final state with and without the kinematic refit using $m({\rm Z}_1)$ constraint. |
png pdf |
Additional Figure 10:
Comparison of the four-lepton mass for simulated Higgs boson events with $m_{\rm H}= $ 125 GeV in the 2e2$\mu $ final state with and without the kinematic refit using $m({\rm Z}_1)$ constraint. |
png pdf |
Additional Figure 11:
Four lepton mass distribution using the full CMS datasets from $\sqrt {s}= $ 7, 8 and 13 TeV . The stacked histograms represent the expected distributions, and points represent the data. The SM Higgs boson signal with $ {m_{\mathrm{ H } }}= $ 125 GeV, denoted as H(125), and the ZZ backgrounds are normalized to the SM expectation and the Z+X background to the estimation from data. |
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