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CMS-B2G-17-013 ; CERN-EP-2018-037
Search for a new heavy resonance decaying into a Z boson and a Z or W boson in $ 2\ell 2\mathrm{q} $ final states at $\sqrt{s} = $ 13 TeV
JHEP 09 (2018) 101
Abstract: A search has been performed for new, heavy resonances decaying to ZZ or ZW in $ 2\ell 2\mathrm{q} $ final states, with two charged leptons ($\ell= \mathrm{e}$, $\mu$) produced by the decay of a Z boson, and two quarks produced by the decay of a W or Z boson. The analysis is sensitive to resonances with masses in the range from 400 to 4500 GeV. Two categories are defined based on the merged or resolved reconstruction of the hadronically decaying vector boson, optimized for high- and low-mass resonances, respectively. The search is based on data collected during 2016 by the CMS experiment at the LHC in proton-proton collisions with a center-of-mass energy of $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No excess is observed in the data above the standard model background expectation. Upper limits on the production cross section of heavy, narrow spin-1 and spin-2 resonances are derived as a function of the resonance mass, and exclusion limits on the production of W' bosons and bulk graviton particles are calculated in the framework of the heavy vector triplet model and warped extra dimensions, respectively.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Upper row: distribution of the merged V candidate $ {\tau _{21}} $ (left), where the $ {\tau _{21}} < 0.4$ requirement has been removed, and the jet $ {p_{\mathrm {T}}} $ (right) in data and simulation for events in the signal region of the low-mass analysis. Lower row: V candidate $ {m_\mathrm {j}} $ (left) and $ {m_\mathrm {jj}} $ (right) in data and simulation for events in the signal regions of the low-mass search. The points show the data while the filled histograms show the background contributions. The gray band shows the statistical and systematic uncertainties in the background, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, which is excluded from this analysis. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram; for visibility, the signal cross-section is increased by a factor of 5 in the merged category and 50 in the resolved category. The background normalization is derived from the final fit to the $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ observable in data.

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Figure 1-a:
Distribution of the merged V candidate $ {\tau _{21}} $, where the $ {\tau _{21}} < 0.4$ requirement has been removed, in data and simulation for events in the signal region of the low-mass analysis. The points show the data while the filled histograms show the background contributions. The gray band shows the statistical and systematic uncertainties in the background, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, which is excluded from this analysis. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram; for visibility, the signal cross-section is increased by a factor of 5. The background normalization is derived from the final fit to the $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ observable in data.

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Figure 1-b:
Distribution of the jet $ {p_{\mathrm {T}}} $ in data and simulation for events in the signal region of the low-mass analysis. The points show the data while the filled histograms show the background contributions. The gray band shows the statistical and systematic uncertainties in the background, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, which is excluded from this analysis. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram; for visibility, the signal cross-section is increased by a factor of 5. The background normalization is derived from the final fit to the $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ observable in data.

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Figure 1-c:
Distribution of V candidate $ {m_\mathrm {j}} $ in data and simulation for events in the signal regions of the low-mass search. The points show the data while the filled histograms show the background contributions. The gray band shows the statistical and systematic uncertainties in the background, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, which is excluded from this analysis. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram; for visibility, the signal cross-section is increased by a factor of 5. The background normalization is derived from the final fit to the $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ observable in data.

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Figure 1-d:
Distribution of $ {m_\mathrm {jj}} $ in data and simulation for events in the signal regions of the low-mass search. The points show the data while the filled histograms show the background contributions. The gray band shows the statistical and systematic uncertainties in the background, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, which is excluded from this analysis. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram; for visibility, the signal cross-section is increased by a factor of 50. The background normalization is derived from the final fit to the $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ observable in data.

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Figure 2:
The $ {m_\mathrm {j}} $ distributions of the events in data, compared to the expected background shape, for the high-mass analysis in the electron (upper) and muon (lower) channels, and for the high-purity (left) and low-purity (right) categories. The expected background shape is extracted from a fit to the data sidebands (Z+jets) or derived from simulation ("top quark'' and "VV''). The shaded area represents the uncertainty in the Z+jets distribution, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, excluded from the analysis. The bottom panels show the pull distribution between data and SM background expectation from the fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data.

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Figure 2-a:
The $ {m_\mathrm {j}} $ distributions of the events in data, compared to the expected background shape, for the high-mass analysis in the electron channel, and for the high-purity category. The expected background shape is extracted from a fit to the data sidebands (Z+jets) or derived from simulation ("top quark'' and "VV''). The shaded area represents the uncertainty in the Z+jets distribution, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, excluded from the analysis. The bottom panel shows the pull distribution between data and SM background expectation from the fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data.

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Figure 2-b:
The $ {m_\mathrm {j}} $ distributions of the events in data, compared to the expected background shape, for the high-mass analysis in the electron channel, and for the low-purity category. The expected background shape is extracted from a fit to the data sidebands (Z+jets) or derived from simulation ("top quark'' and "VV''). The shaded area represents the uncertainty in the Z+jets distribution, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, excluded from the analysis. The bottom panel shows the pull distribution between data and SM background expectation from the fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data.

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Figure 2-c:
The $ {m_\mathrm {j}} $ distributions of the events in data, compared to the expected background shape, for the high-mass analysis in the muon channel, and for the high-purity category. The expected background shape is extracted from a fit to the data sidebands (Z+jets) or derived from simulation ("top quark'' and "VV''). The shaded area represents the uncertainty in the Z+jets distribution, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, excluded from the analysis. The bottom panel shows the pull distribution between data and SM background expectation from the fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data.

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Figure 2-d:
The $ {m_\mathrm {j}} $ distributions of the events in data, compared to the expected background shape, for the high-mass analysis in the muon channel, and for the low-purity category. The expected background shape is extracted from a fit to the data sidebands (Z+jets) or derived from simulation ("top quark'' and "VV''). The shaded area represents the uncertainty in the Z+jets distribution, while the dashed vertical region ("Higgs'') shows the expected SM Higgs boson mass range, excluded from the analysis. The bottom panel shows the pull distribution between data and SM background expectation from the fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data.

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Figure 3:
Expected and observed distributions of the resonance candidate mass $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ in the high-mass analysis, in the electron (upper) and muon (lower) channels, and separately for the high-purity (left) and low-purity (right) categories. The shaded area represents the post-fit uncertainty in the background. The bottom panels show the pull distribution between data and post-fit SM background fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data. The expected contribution from W' signal candidates with mass $ {m_{{\mathrm {X}}}} = $ 2000 GeV, normalized to a cross section of 100 fb, is also shown.

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Figure 3-a:
Expected and observed distribution of the resonance candidate mass $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ in the high-mass analysis, in the electron channel, and separately for the high-purity category. The shaded area represents the post-fit uncertainty in the background. The bottom panel shows the pull distribution between data and post-fit SM background fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data. The expected contribution from W' signal candidates with mass $ {m_{{\mathrm {X}}}} = $ 2000 GeV, normalized to a cross section of 100 fb, is also shown.

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Figure 3-b:
Expected and observed distribution of the resonance candidate mass $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ in the high-mass analysis, in the electron channel, and separately for the low-purity category. The shaded area represents the post-fit uncertainty in the background. The bottom panel shows the pull distribution between data and post-fit SM background fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data. The expected contribution from W' signal candidates with mass $ {m_{{\mathrm {X}}}} = $ 2000 GeV, normalized to a cross section of 100 fb, is also shown.

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Figure 3-c:
Expected and observed distribution of the resonance candidate mass $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ in the high-mass analysis, in the muon channel, and separately for the high-purity category. The shaded area represents the post-fit uncertainty in the background. The bottom panel shows the pull distribution between data and post-fit SM background fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data. The expected contribution from W' signal candidates with mass $ {m_{{\mathrm {X}}}} = $ 2000 GeV, normalized to a cross section of 100 fb, is also shown.

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Figure 3-d:
Expected and observed distribution of the resonance candidate mass $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ in the high-mass analysis, in the muon channel, and separately for the low-purity category. The shaded area represents the post-fit uncertainty in the background. The bottom panel shows the pull distribution between data and post-fit SM background fit, where $\sigma _\text {data}$ is the Poisson uncertainty in the data. The expected contribution from W' signal candidates with mass $ {m_{{\mathrm {X}}}} = $ 2000 GeV, normalized to a cross section of 100 fb, is also shown.

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Figure 4:
Sideband $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distributions for the low-mass search in the merged V (upper), resolved V (lower), untagged (left), and tagged (right) categories, after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. Electron and muon categories are combined. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 4-a:
Sideband $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search in the merged V, untagged category, after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. Electron and muon categories are combined. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 4-b:
Sideband $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search in the merged V, tagged category, after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. Electron and muon categories are combined. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 4-c:
Sideband $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search in the resolved V, untagged category, after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. Electron and muon categories are combined. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 4-d:
Sideband $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search in the resolved V, tagged category, after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. Electron and muon categories are combined. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 5:
The signal region $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distributions for the low-mass search, in the the merged V (upper), resolved V (lower), untagged (left), and tagged (right) categories, after fitting the signal and sideband regions. Electron and muon categories are combined. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 5-a:
The signal region $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search, in the the merged V, untagged category, after fitting the signal and sideband regions. Electron and muon categories are combined. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 5-b:
The signal region $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search, in the the merged V, tagged category, after fitting the signal and sideband regions. Electron and muon categories are combined. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 5-c:
The signal region $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search, in the the resolved V, untagged category, after fitting the signal and sideband regions. Electron and muon categories are combined. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 5-d:
The signal region $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $ distribution for the low-mass search, in the the resolved V, tagged category, after fitting the signal and sideband regions. Electron and muon categories are combined. A 600 GeV bulk graviton signal prediction is represented by the black dashed histogram. The gray band indicates the statistical and post-fit systematic uncertainties in the normalization and shape of the background. Larger bin widths are used at higher values of $ {m_{{{\mathrm {V}} \mathrm{Z}}}} $; the bin widths are indicated by the horizontal error bars.

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Figure 6:
Observed and expected 95% {\text {CL}} upper limit on $\sigma _{\mathrm{W'}} {\mathcal {B}} (\mathrm{W'} \to {\mathrm{Z} \mathrm{W}})$ (left) and $\sigma _{\mathrm{G}} {\mathcal {B}} (\mathrm{G} \to {\mathrm{Z} \mathrm{Z}})$ (right) as a function of the resonance mass, taking into account all statistical and systematic uncertainties. The electron and muon channels and the various categories used in the analysis are combined together. The green (inner) and yellow (outer) bands represent the 68% and 95% coverage of the expected limit in the background-only hypothesis. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy. Theoretical predictions for the signal production cross section are also shown: (left) W' produced in the framework of HVT model A with $g_\mathrm {v}=$ 1 and model B with $g_\mathrm {v}=$ 3; (right) G produced in the WED bulk graviton model with $ {\tilde{\kappa}} =$ 0.5.

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Figure 6-a:
Observed and expected 95% {\text {CL}} upper limit on $\sigma _{\mathrm{W'}} {\mathcal {B}} (\mathrm{W'} \to {\mathrm{Z} \mathrm{W}})$ as a function of the resonance mass, taking into account all statistical and systematic uncertainties. The electron and muon channels and the various categories used in the analysis are combined together. The green (inner) and yellow (outer) bands represent the 68% and 95% coverage of the expected limit in the background-only hypothesis. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy. The theoretical prediction for the cross section of W' production in the framework of HVT model A with $g_\mathrm {v}=$ 1 and model B with $g_\mathrm {v}=$ 3 is also shown.

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Figure 6-b:
Observed and expected 95% {\text {CL}} upper limit on $\sigma _{\mathrm{G}} {\mathcal {B}} (\mathrm{G} \to {\mathrm{Z} \mathrm{Z}})$ as a function of the resonance mass, taking into account all statistical and systematic uncertainties. The electron and muon channels and the various categories used in the analysis are combined together. The green (inner) and yellow (outer) bands represent the 68% and 95% coverage of the expected limit in the background-only hypothesis. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy. The theoretical prediction for the cross section of G production in the WED bulk graviton model with $ {\tilde{\kappa}} =$ 0.5 is also shown.

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Figure 7:
Observed local $p$-values for W' (left) and G (right) narrow resonances as a function of the resonance mass. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy.

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Figure 7-a:
Observed local $p$-value for W' narrow resonance as a function of the resonance mass. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy.

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Figure 7-b:
Observed local $p$-value for G narrow resonance as a function of the resonance mass. The dashed vertical line represents the transition from the low-mass to the high-mass analysis strategy.
Tables

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Table 1:
Summary of systematic uncertainties, quoted in percent, affecting the normalization of background and signal samples. Where a systematic uncertainty depends on the resonance mass (for signal) or on the category (for background), the smallest and largest values are reported in the table. A dash (--) represents uncertainties either estimated to be negligible (below 0.1%), or not applicable in the specific analysis category.
Summary
A search for a heavy resonance decaying into a Z boson and a Z or a W boson in $ 2\ell 2\mathrm{q} $ final states has been presented. The data analyzed were collected by the CMS experiment in proton-proton collisions at $\sqrt{s} = $ 13 TeV during 2016 operations at the LHC, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The final state of interest consists of a Z boson decaying leptonically into an electron or muon pair, and the decay of an additional W or Z boson into a pair of quarks. Two analysis strategies, dedicated to the low- and high-mass regimes (below and above 850 GeV, respectively), have been used to set limits in the range of resonance mass from 400 to 4500 GeV. Depending on the resonance mass, expected upper limits of 3-3000 and 1.5-400 fb have been set on the product of the cross section of a spin-1 W' and the ZW branching fraction, and on the product of the cross section of a spin-2 graviton and the ZZ branching fraction, respectively.
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Compact Muon Solenoid
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