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CMS-PAS-B2G-16-010
Search for diboson resonances in the semileptonic $\mathrm{X}\rightarrow\mathrm{Z}\mathrm{V}\rightarrow\ell^+\ell^- \mathrm{q\bar{q}}$ final state at $ \sqrt{s} = $ 13 TeV with CMS
Abstract: A search for diboson resonances is performed in the semileptonic $\mathrm{X}\rightarrow\mathrm{Z}\mathrm{V}\rightarrow\ell^+\ell^- \mathrm{q\bar{q}}$ final state, where one vector boson decays hadronically (V = W, Z) and the other, a Z boson, decays into two leptons, in the mass range 550 $\le m_\mathrm{ZV} \le$ 2500 GeV. In this regime the V boson may be sufficiently boosted that its decay products are contained in a single jet, thus merged jet reconstruction and substructure techniques are utilised. The case where the hadronic decay products are resolved is also considered at low mass. At high signal masses the closeness of the leptons is taken into account to avoid leptonic Z reconstruction inefficiencies. The analysis exploits the kinematic and flavour information of the final state particles of the event in order to isolate the hypothetical signal. The results are based on the analysis of proton-proton collision data collected by CMS in 2015, corresponding to an integrated luminosity of 2.7 fb$^{-1}$ delivered by the LHC at center-of-mass energy of 13 TeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1-a:
Distribution of the boosted V candidate $\tau _{21}$ and $ {p_{\mathrm {T}}} (J)$ (after applying the $\tau _{21} < $ 0.45 cut) in data and simulation for events in the signal region of the low mass search. Backgrounds are shown separately for the dominant Z+jets contribution (green), the ZV SM diboson contribution (blue), and the lepton flavour symmetric backgrounds derived from e$\mu $ data (yellow). The gray band shows the statistical and systematic uncertainties on the background. The background for the $\tau _{2}/\tau _{1}$ distribution is normalised to the number of events in the data; the background for the $ {p_{\mathrm {T}}} (J)$ distribution is derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 1-b:
Distribution of the boosted V candidate $\tau _{21}$ and $ {p_{\mathrm {T}}} (J)$ (after applying the $\tau _{21} < $ 0.45 cut) in data and simulation for events in the signal region of the low mass search. Backgrounds are shown separately for the dominant Z+jets contribution (green), the ZV SM diboson contribution (blue), and the lepton flavour symmetric backgrounds derived from e$\mu $ data (yellow). The gray band shows the statistical and systematic uncertainties on the background. The background for the $\tau _{2}/\tau _{1}$ distribution is normalised to the number of events in the data; the background for the $ {p_{\mathrm {T}}} (J)$ distribution is derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 2-a:
Distribution of V candidate $ {m_\mathrm {J}}$ (a) and $ {m_\mathrm {jj}}$ (b) in data and simulation for events in the signal and sideband regions of the low mass search. Backgrounds are shown seperately for the dominant Z+jets contribution (green), the ZV SM diboson contribution (blue), and the lepton flavour symmetric backgrounds derived from e$\mu $ data (yellow). The gray band shows the statistical and systematic uncertainties on the background. Background normalizations are derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 2-b:
Distribution of V candidate $ {m_\mathrm {J}}$ (a) and $ {m_\mathrm {jj}}$ (b) in data and simulation for events in the signal and sideband regions of the low mass search. Backgrounds are shown seperately for the dominant Z+jets contribution (green), the ZV SM diboson contribution (blue), and the lepton flavour symmetric backgrounds derived from e$\mu $ data (yellow). The gray band shows the statistical and systematic uncertainties on the background. Background normalizations are derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 3-a:
The zero, loose and medium CSV tag multiplicity for the most b-like subjet of the boosted V candidates (a) and the most b-like jet of the resolved V candidates (b) for events in the signal region of the low mass search. The gray band shows the statistical and systematic uncertainties on the background. Background normalizations are derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 3-b:
The zero, loose and medium CSV tag multiplicity for the most b-like subjet of the boosted V candidates (a) and the most b-like jet of the resolved V candidates (b) for events in the signal region of the low mass search. The gray band shows the statistical and systematic uncertainties on the background. Background normalizations are derived from a fit to the $ {m_\mathrm {ZV}}$ observable in the sideband region alone.

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Figure 4:
Distribution of $\tau _{21}$ for data and simulated backgrounds in the high mass search; a simulated signal corresponding to a bulk graviton of 1 TeV is also shown. Simulated backgrounds are displayed as stacked histograms normalised to luminosity (2.7 fb$^{-1}$). The boundary at $ {\tau _{21}}= $ 0.45 separates the high purity and low purity categories.

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Figure 5-a:
The sideband $ {m_\mathrm {ZV}}$ distributions for the boosted V (a,b), resolved V (c,d), untagged (a,c) and tagged (b,d) categories of the low mass search after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. The grey band indicates the statistical and postfit systematic uncertainties on the normalization and shape of the background.

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Figure 5-b:
The sideband $ {m_\mathrm {ZV}}$ distributions for the boosted V (a,b), resolved V (c,d), untagged (a,c) and tagged (b,d) categories of the low mass search after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. The grey band indicates the statistical and postfit systematic uncertainties on the normalization and shape of the background.

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Figure 5-c:
The sideband $ {m_\mathrm {ZV}}$ distributions for the boosted V (a,b), resolved V (c,d), untagged (a,c) and tagged (b,d) categories of the low mass search after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. The grey band indicates the statistical and postfit systematic uncertainties on the normalization and shape of the background.

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Figure 5-d:
The sideband $ {m_\mathrm {ZV}}$ distributions for the boosted V (a,b), resolved V (c,d), untagged (a,c) and tagged (b,d) categories of the low mass search after fitting the sideband data alone. The points show the data while the filled histograms show the background contributions. The grey band indicates the statistical and postfit systematic uncertainties on the normalization and shape of the background.

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Figure 6-a:
The signal region $ {m_\mathrm {ZV}}$ distributions for the boosted V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the filled histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 6-b:
The signal region $ {m_\mathrm {ZV}}$ distributions for the boosted V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the filled histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 6-c:
The signal region $ {m_\mathrm {ZV}}$ distributions for the boosted V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the filled histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 6-d:
The signal region $ {m_\mathrm {ZV}}$ distributions for the boosted V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the filled histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 7-a:
The signal region $ {m_\mathrm {ZV}}$ distributions for the resolved V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 7-b:
The signal region $ {m_\mathrm {ZV}}$ distributions for the resolved V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 7-c:
The signal region $ {m_\mathrm {ZV}}$ distributions for the resolved V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 7-d:
The signal region $ {m_\mathrm {ZV}}$ distributions for the resolved V-untagged (a) and V-tagged (b) categories of the low mass search after fitting the signal and sideband regions using a signal plus background model. The points show the data while the histograms show the background contributions. The signal is represented by the red dashed histogram. The grey band indicates the statistical and systematic uncertainties on the normalization and shape of the background.

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Figure 8-a:
Pruned mass distribution in data and parametric model (blue line) for the high mass search. The dominant (red) and subdominant (green) components are also shown. The yield for each component in the full region (20 $ < {m_\mathrm {J}}< $ 220 GeV) is in the legend.

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Figure 8-b:
Pruned mass distribution in data and parametric model (blue line) for the high mass search. The dominant (red) and subdominant (green) components are also shown. The yield for each component in the full region (20 $ < {m_\mathrm {J}}< $ 220 GeV) is in the legend.

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Figure 8-c:
Pruned mass distribution in data and parametric model (blue line) for the high mass search. The dominant (red) and subdominant (green) components are also shown. The yield for each component in the full region (20 $ < {m_\mathrm {J}}< $ 220 GeV) is in the legend.

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Figure 8-d:
Pruned mass distribution in data and parametric model (blue line) for the high mass search. The dominant (red) and subdominant (green) components are also shown. The yield for each component in the full region (20 $ < {m_\mathrm {J}}< $ 220 GeV) is in the legend.

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Figure 9-a:
a,b: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the high purity category of the high mass search, for muons (c) and electrons (d). The transfer factor $\alpha ( {m_\mathrm {ZV}})$ is defined by the ratio (Z+jets SR) / (Z+jets SB).

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Figure 9-b:
a,b: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the high purity category of the high mass search, for muons (c) and electrons (d). The transfer factor $\alpha ( {m_\mathrm {ZV}})$ is defined by the ratio (Z+jets SR) / (Z+jets SB).

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Figure 9-c:
a,b: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the high purity category of the high mass search, for muons (c) and electrons (d). The transfer factor $\alpha ( {m_\mathrm {ZV}})$ is defined by the ratio (Z+jets SR) / (Z+jets SB).

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Figure 9-d:
a,b: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ simulated distributions in the signal (green) and sideband (red) region for the high purity category of the high mass search, for muons (c) and electrons (d). The transfer factor $\alpha ( {m_\mathrm {ZV}})$ is defined by the ratio (Z+jets SR) / (Z+jets SB).

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Figure 10-a:
a,b: $ {m_\mathrm {ZV}}$ distributions in the signal region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ distributions in the signal region for the high purity category of the high mass search, for muons (c) and electrons (d).

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Figure 10-b:
a,b: $ {m_\mathrm {ZV}}$ distributions in the signal region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ distributions in the signal region for the high purity category of the high mass search, for muons (c) and electrons (d).

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Figure 10-c:
a,b: $ {m_\mathrm {ZV}}$ distributions in the signal region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ distributions in the signal region for the high purity category of the high mass search, for muons (c) and electrons (d).

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Figure 10-d:
a,b: $ {m_\mathrm {ZV}}$ distributions in the signal region for the low purity category of the high mass search, for muons (a) and electrons (b). c,d: $ {m_\mathrm {ZV}}$ distributions in the signal region for the high purity category of the high mass search, for muons (c) and electrons (d).

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Figure 11-a:
Selection efficiency as function of the RS (a) and bulk (b) graviton mass for the low mass (red solid line) and high mass (blue solid line) searches. The red dashed (dotted) line denotes the efficiency of the low mass search in the boosted (resolved) category; the blue dashed (dotted) line denotes the efficiency of the high mass search in the high purity (low purity) category.

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Figure 11-b:
Selection efficiency as function of the RS (a) and bulk (b) graviton mass for the low mass (red solid line) and high mass (blue solid line) searches. The red dashed (dotted) line denotes the efficiency of the low mass search in the boosted (resolved) category; the blue dashed (dotted) line denotes the efficiency of the high mass search in the high purity (low purity) category.

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Figure 12-a:
Observed and expected 95% CL upper limits on the RS (a) and bulk (b and c) graviton production cross section times branching fraction to ZZ obtained by the low mass search (a,b) and the low and high mass searches combined (c). The 68% and 95% ranges of expectation for the background-only model are also shown with green and yellow bands, respectively. The theoretical cross-section for the RS model has been multiplied by a factor of 0.2 for visibility. The blue line in the bottom plot sets the boundary at 800 GeV that separates the low mass and high mass searches.

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Figure 12-b:
Observed and expected 95% CL upper limits on the RS (a) and bulk (b and c) graviton production cross section times branching fraction to ZZ obtained by the low mass search (a,b) and the low and high mass searches combined (c). The 68% and 95% ranges of expectation for the background-only model are also shown with green and yellow bands, respectively. The theoretical cross-section for the RS model has been multiplied by a factor of 0.2 for visibility. The blue line in the bottom plot sets the boundary at 800 GeV that separates the low mass and high mass searches.

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Figure 12-c:
Observed and expected 95% CL upper limits on the RS (a) and bulk (b and c) graviton production cross section times branching fraction to ZZ obtained by the low mass search (a,b) and the low and high mass searches combined (c). The 68% and 95% ranges of expectation for the background-only model are also shown with green and yellow bands, respectively. The theoretical cross-section for the RS model has been multiplied by a factor of 0.2 for visibility. The blue line in the bottom plot sets the boundary at 800 GeV that separates the low mass and high mass searches.
Tables

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Table 1:
Analysis strategies for bulk graviton search.

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Table 2:
Summary of selection requirements and categorisation.

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Table 3:
Predicted and observed yields with 2.7 fb$^{-1}$ of data for the resolved and boosted categories of the low mass search. The signal and sideband predicted numbers are derived from the fit to the sideband mass distributions alone.

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Table 4:
Background estimation for the high mass search obtained by the integral of the parametric model in the signal region (65 $ < {m_\mathrm {J}}< $ 105 GeV). The estimated background is reported in the format A $\oplus $ B, where A and B represent the dominant and subdominant components, respectively. The systematic uncertainty due to mismodelling of the pruned mass ranges between 28-42%.

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Table 5:
Summary of systematic uncertainties on the signal normalisation in the low mass resolved, low mass boosted, and high mass analyses.

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Table 6:
Summary of systematic uncertainties on the background normalisation in the low mass resolved and boosted analyses.
Summary
A search for diboson resonances in the mass range 550 GeV to 2500 GeV in the semileptonic ${\mathrm{X}}\rightarrow \mathrm{Z} \mathrm{V} \rightarrow\ell^+\ell^- \mathrm{ q \bar{q} }$ final state, where one boson decays hadronically (V = W, Z) and the other, a Z boson, decays to two leptons, has been presented. The choice of analysis strategy for a particular signal hypothesis is based on the optimisation of the signal selection efficiency. Data corresponding to an integrated luminosity of 2.7 fb$^{-1}$ of proton-proton collisions at center-of-mass energy of 13 TeV{} have been analysed.

In the high mass analysis, the results obtained are compatible with the standard model prediction in the explored mass range. Given the low number of events in data and the low cross section of the benchmark model (bulk graviton with $k/M_{Pl} =$ 0.5), the present analysis did not reach the sensitivity required to establish exclusion limits on the theoretical cross section of the model under study.

In the low mass search, an excess consistent with the signal at a mass of 650 GeV is observed. The best fit signal strengths are 0.03 $\pm$ 0.01 times the RS graviton cross section for $k/M_{Pl} =$ 0.1, and 2.0 $\pm$ 0.6 times the bulk graviton cross section for $k/M_{Pl} =$ 0.5. The excess has a local p-value (the probability for background alone to give at least as large a signal strength at that mass) of $43.4 \times 10^{-4}$ (3.4$\sigma$) for the full low mass search (boosted and resolved categories) in the RS interpretation, and $4.0 \times 10^{-5}$ (3.9$ \sigma$) in the bulk graviton case. Taking into account the look-elsewhere effect [35] in the mass range 550 $< m_\mathrm{ZV} <$ 1400 GeV, the global p-value is 9.5 times higher in the RS analysis and 10.9 times higher in the bulk graviton analysis, decreasing the global significances to 2.9$\sigma$ and 3.5$\sigma$, respectively.
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Compact Muon Solenoid
LHC, CERN