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CMS-PAS-HIG-16-021
Higgs to WW measurements with 15.2 fb$^{-1}$ of 13 TeV proton-proton collisions
Abstract: Results on the measurements of the standard model Higgs boson decaying to a W-boson pair at $\sqrt{s}= $ 13 TeV at the LHC with 2015 and early 2016 data are reported. The event sample corresponds to integrated luminosities of 2.3 fb$^{-1}$ and 12.9 fb$^{-1}$, collected by the CMS detector in 2015 and up to August 2016 respectively. The W$^+$W$^-$ candidates are selected in events with an oppositely charged e$\mu$ pair and large missing transverse momentum, and with different number of jets. Dedicated categories with two jets or three leptons, designed to select Higgs bosons produced via vector boson fusion or associated production with a W or Z boson, are also explored. Combining all the channels studied, the observed (expected) significance for the SM Higgs boson with a mass of 125 GeV is 4.3$\sigma$ (4.1$\sigma$), corresponding to an observed cross section times branching ratio of 1.05 $\pm$ 0.26 times the standard model prediction.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The flowchart of the analysis is reported here. On the left without background control regions, on the right with the background control regions. The green boxes correspond to a separate cut based analyses used to control background normalization. The yellow boxes correspond to signal phase spaces for the analysis, and for each of them a template shape approach is followed. The orange boxes represent interesting combinations of categories, while blue boxes are the selections criteria. The WW normalization is part of the nominal signal phase space (yellow boxes), since it's difficult to define a complete orthogonal set of selections to disentangle from the Higgs. The normalization of WW is done independently in 0 jet, 1 jet, 2 jet, 2 jet close to W/Z mass, and high di-jet invariant mass. Every green box corresponds to a phase space used to regulate the normalization for the background normalization (WZ, Z$\gamma $, Top, DY$\tau \tau $).

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Figure 1-a:
The flowchart of the analysis is reported here, without background control regions. The green boxes correspond to a separate cut based analyses used to control background normalization. The yellow boxes correspond to signal phase spaces for the analysis, and for each of them a template shape approach is followed. The orange boxes represent interesting combinations of categories, while blue boxes are the selections criteria. The WW normalization is part of the nominal signal phase space (yellow boxes), since it's difficult to define a complete orthogonal set of selections to disentangle from the Higgs. The normalization of WW is done independently in 0 jet, 1 jet, 2 jet, 2 jet close to W/Z mass, and high di-jet invariant mass.

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Figure 1-b:
The flowchart of the analysis is reported here, with the background control regions. The green boxes correspond to a separate cut based analyses used to control background normalization. The yellow boxes correspond to signal phase spaces for the analysis, and for each of them a template shape approach is followed. The orange boxes represent interesting combinations of categories, while blue boxes are the selections criteria. The WW normalization is part of the nominal signal phase space (yellow boxes), since it's difficult to define a complete orthogonal set of selections to disentangle from the Higgs. The normalization of WW is done independently in 0 jet, 1 jet, 2 jet, 2 jet close to W/Z mass, and high di-jet invariant mass. Every green box corresponds to a phase space used to regulate the normalization for the background normalization (WZ, Z$\gamma $, Top, DY$\tau \tau $).

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Figure 2:
Distributions of ${m_{\ell \ell }}$ (left) and ${m_\mathrm {T}^\mathrm {H}}$ (right) for events with 0 jet (upper row) and 1 jet (lower row) for the main backgrounds (stacked histograms), and for the expected SM Higgs boson signal with $m_H = $ 125 GeV (superimposed and stacked red histogram) after all selection criteria. The last bin of the histograms includes overflows. Scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 2-a:
Distributions of ${m_{\ell \ell }}$ for events with 0 jet for the main backgrounds (stacked histograms), and for the expected SM Higgs boson signal with $m_H = $ 125 GeV (superimposed and stacked red histogram) after all selection criteria. The last bin of the histogram includes overflows. Scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 2-b:
Distributions of ${m_\mathrm {T}^\mathrm {H}}$ for events with 0 jet for the main backgrounds (stacked histograms), and for the expected SM Higgs boson signal with $m_H = $ 125 GeV (superimposed and stacked red histogram) after all selection criteria. The last bin of the histogram includes overflows. Scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 2-c:
Distributions of ${m_{\ell \ell }}$ for events with 1 jet for the main backgrounds (stacked histograms), and for the expected SM Higgs boson signal with $m_H = $ 125 GeV (superimposed and stacked red histogram) after all selection criteria. The last bin of the histogram includes overflows. Scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 2-d:
Distributions of ${m_\mathrm {T}^\mathrm {H}}$ for events with 1 jet for the main backgrounds (stacked histograms), and for the expected SM Higgs boson signal with $m_H = $ 125 GeV (superimposed and stacked red histogram) after all selection criteria. The last bin of the histogram includes overflows. Scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 3:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 0 jet bin, $\mu $e and e$\mu $, +/- and -/+ categories. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 3-a:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 0 jet bin, $\mu^+ \mathrm{e}^- $ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 3-b:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 0 jet bin, $ \mathrm{e}^+ \mu^-$ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 3-c:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 0 jet bin, $\mu^- \mathrm{e}^+ $ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 3-d:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 0 jet bin, $ \mathrm{e}^- \mu^+$ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 4:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 1 jet bin, $\mu $e and e$\mu $, +/- and -/+ categories. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 4-a:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 1 jet bin, $\mu^+ \mathrm{e}^- $ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 4-b:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 1 jet bin, $ \mathrm{e}^+ \mu^-$ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 4-c:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 1 jet bin, $\mu^- \mathrm{e}^+ $ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 4-d:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates in the 1 jet bin, $ \mathrm{e}^- \mu^+$ category. The distributions are unrolled to one dimensional histograms such that that identical values of ${m_\mathrm {T}^\mathrm {H}}$ are in adjacent bins. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 5:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates for the 2 jets category with 2015 (left) and 2016 (right) data. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 5-a:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates for the 2 jets category with 2015 data. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 5-b:
Bi-dimensional distributions of the ${m_{\ell \ell }}$ and ${m_\mathrm {T}^\mathrm {H}}$ templates for the 2 jets category with 2016 data. The background and signal contributions are normalized according to their pre-fit values except that scale factors estimated from data are applied to the jet induced, the Drell-Yan, and top backgrounds.

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Figure 6:
Distribution of ${m_{\ell \ell }}$ for the VBF analysis with 2015 (left) and 2016 (right) data.

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Figure 6-a:
Distribution of ${m_{\ell \ell }}$ for the VBF analysis with 2015 data.

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Figure 6-b:
Distribution of ${m_{\ell \ell }}$ for the VBF analysis with 2016 data.

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Figure 7:
Distribution of ${m_{\ell \ell }}$ for the VH 2-jets analysis with 2015 (left) and 2016 (right) data.

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Figure 7-a:
Distribution of ${m_{\ell \ell }}$ for the VH 2-jets analysis with 2015 data.

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Figure 7-b:
Distribution of ${m_{\ell \ell }}$ for the VH 2-jets analysis with 2016 data.

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Figure 8:
$\Delta R$ template for OSSF (left) and SSSF (right) event categories for 2015 (upper row) and 2016 (lower row) data.

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Figure 8-a:
$\Delta R$ template for OSSF event categories for 2015 data.

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Figure 8-b:
$\Delta R$ template for SSSF event categories for 2015 data.

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Figure 8-c:
$\Delta R$ template for OSSF event categories for 2016 data.

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Figure 8-d:
$\Delta R$ template for SSSF event categories for 2016 data.

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Figure 9:
Distributions of ${m_{\ell \ell }}$ for events with 0 jet, 1 jet, and 2 jets in the same-charge di-lepton control region. The last bin of the histograms includes overflows.

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Figure 9-a:
Distribution of ${m_{\ell \ell }}$ for events with 0 jet in the same-charge di-lepton control region. The last bin of the histogram includes overflows.

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Figure 9-b:
Distribution of ${m_{\ell \ell }}$ for events with 1 jet in the same-charge di-lepton control region. The last bin of the histogram includes overflows.

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Figure 9-c:
Distribution of ${m_{\ell \ell }}$ for events with 2 jets in the same-charge di-lepton control region. The last bin of the histogram includes overflows.

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Figure 10:
Distributions of ${m_{\ell \ell }}$ (left) and ${m_\mathrm {T}^\mathrm {H}}$ (right) for events with 0 jet (top row), 1 jet (middle row), and 2 jets (lower row) in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-a:
Distributions of ${m_{\ell \ell }}$ for events with 0 jet in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-b:
Distributions of ${m_\mathrm {T}^\mathrm {H}}$ for events with 0 jet in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-c:
Distributions of ${m_{\ell \ell }}$ for events with 1 jet in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-d:
Distributions of ${m_\mathrm {T}^\mathrm {H}}$ for events with 1 jet in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-e:
Distributions of ${m_{\ell \ell }}$ for events with 2 jets in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 10-f:
Distributions of ${m_\mathrm {T}^\mathrm {H}}$ for events with 2 jets in top enriched phase space. Scale factors estimated from data are applied (see text).

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Figure 11:
Distributions of ${m_{\ell \ell }}$ for events with 0 jet, 1 jet, and 2 jets in the DY$\rightarrow \tau \tau {m_\mathrm {T}^\mathrm {H}} <$ 60 GeV and 30 GeV $< {m_{\ell \ell }} <$ 80 GeV control region. Scale factors estimated from the normalization difference to the data are applied (see text).

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Figure 11-a:
Distribution of ${m_{\ell \ell }}$ for events with 0 jet in the DY$\rightarrow \tau \tau {m_\mathrm {T}^\mathrm {H}} <$ 60 GeV and 30 GeV $< {m_{\ell \ell }} <$ 80 GeV control region. Scale factors estimated from the normalization difference to the data are applied (see text).

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Figure 11-b:
Distribution of ${m_{\ell \ell }}$ for events with 1 jet in the DY$\rightarrow \tau \tau {m_\mathrm {T}^\mathrm {H}} <$ 60 GeV and 30 GeV $< {m_{\ell \ell }} <$ 80 GeV control region. Scale factors estimated from the normalization difference to the data are applied (see text).

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Figure 11-c:
Distribution of ${m_{\ell \ell }}$ for events with 2 jets in the DY$\rightarrow \tau \tau {m_\mathrm {T}^\mathrm {H}} <$ 60 GeV and 30 GeV $< {m_{\ell \ell }} <$ 80 GeV control region. Scale factors estimated from the normalization difference to the data are applied (see text).

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Figure 12:
The $ {m_{\ell \ell }} $ distribution for the 0, 1 and 2 jets categories weighted and combined. For each window in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category and data taking period, a weight is calculated as the ratio of the expected signal to the sum of background events. The different $ {m_{\ell \ell }} $ distributions in windows in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category, are then summed and normalized to the expected total signal yield. The weighted distribution is shown on the left, and the background subtracted distribution on the right: the red line is the expected signal distribution, while the black points represent the data subtracted distribution. The shaded grey area is the uncertainty on the expected background.

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Figure 12-a:
The $ {m_{\ell \ell }} $ distribution for the 0, 1 and 2 jets categories weighted and combined. For each window in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category and data taking period, a weight is calculated as the ratio of the expected signal to the sum of background events. The different $ {m_{\ell \ell }} $ distributions in windows in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category, are then summed and normalized to the expected total signal yield. The weighted distribution is shown. The shaded grey area is the uncertainty on the expected background.

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Figure 12-b:
The $ {m_{\ell \ell }} $ distribution for the 0, 1 and 2 jets categories weighted and combined. For each window in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category and data taking period, a weight is calculated as the ratio of the expected signal to the sum of background events. The different $ {m_{\ell \ell }} $ distributions in windows in $ {m_\mathrm {T}^\mathrm {H}} $, and for each category, are then summed and normalized to the expected total signal yield. The background subtracted distribution is shown: the red line is the expected signal distribution, while the black points represent the data subtracted distribution. The shaded grey area is the uncertainty on the expected background.

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Figure 13:
Likelihood scan on the signal strength for gluon fusion and VBF/VH, including one and two $\sigma $ contours. The red circle represents the minimum of the likelihood scan, while the black triangle is the [1,1] coordinate, corresponding to the SM prediction.
Tables

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Table 1:
Analysis strategy and selections for the 0, 1, and 2 jet bins in the 2 leptons final state.

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Table 2:
Analysis strategy and selections for VBF and VH, in the 2 jets category, in the 2 leptons final state.

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Table 3:
Analysis strategy and selections for WH 3-lep, in the 3 leptons final state. ${\text{min}(m_{\ell ^+\ell ^-})}$ is the minimum ${m_{\ell \ell }}$ between the opposite charge leptons, ${m_{\ell \ell \ell }}$ is the 3-lepton invariant mass. For the Z-tag/veto the ${m_{\ell \ell }}$ closer to Z mass is considered.

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Table 4:
Observed (and expected) significance and signal strength for the SM Higgs boson with a mass of 125 GeV , for the 0-jet, 1-jet, 2-jet, VBF, VH 2-jets, WH 3-lep categories.
Summary
A measurement of the SM Higgs boson decaying to WW in pp collisions at $ \sqrt{s} = $ 13 TeV is performed by the CMS experiment using a data sample corresponding to an integrated luminosity of 2.3 fb$^{-1}$ from 2015 collisions and 12.9 fb$^{-1}$ from 2016 ones.

The W$^+$W$^-$ candidates are selected in events with an oppositely charged e$\mu$ pair and large missing transverse momentum. The analysis has specific categories for gluon fusion production, which is the dominant production mode, vector boson fusion, and vector boson associated production with up to two jets, and two or three leptons in the final state.

When all the channels are combined together, including the previous result using 2015 data [16], the observed (expected) significance is 4.3$\sigma$ (4.1$\sigma$), corresponding to an observed cross section times branching ratio of 1.05 $\pm$ 0.26 times the standard model prediction.
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Compact Muon Solenoid
LHC, CERN