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CMS-PAS-SUS-19-013
Search for supersymmetry in proton-proton collisions at $\sqrt{s}= $ 13 TeV in final states with high-momentum Z bosons and missing transverse momentum
Abstract: A search for physics beyond the standard model in events with highly Lorentz-boosted Z bosons and missing transverse momentum is presented. The analysed proton-proton collision data, corresponding to an integrated luminosity of 137 fb$^{-1}$, were recorded at $\sqrt{s}= $ 13 TeV by the CMS experiment. The search utilizes wide-cone jets to identify quark pairs from Z boson decays. Backgrounds from standard model processes are suppressed by requirements on the jet mass and missing transverse momentum. No significant excess in the event yield is observed beyond the number of background events expected from the standard model. An exclusion limit on the mass of gluinos - supersymmetric partners of gluons - as large as 1920 GeV is set at 95% confidence level within the framework of simplified model spectra.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Signal diagram for the T5ZZ SMS process. The assumed small mass splitting between the ${\mathrm{\tilde{g}}}$ and ${\tilde{\chi}^0_2}$ implies a massive ${\tilde{\chi}^0_2}$. We further assume a 100% branching fraction for the ${\tilde{\chi}^0_2}$ decay to the Z boson and ${\tilde{\chi}^0_1}$, leading to a high-momentum Z boson and large ${{p_{\mathrm {T}}} ^\text {miss}}$.

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Figure 2:
Distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ for simulated SM backgrounds (stacked histograms), with only the hadronic baseline selection (left), and after the additional Z candidate selection (right). Expected signal contributions for two example mass points (dotted lines) are also shown. The last bin includes overflow events.

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Figure 2-a:
Distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ for simulated SM backgrounds (stacked histograms), with only the hadronic baseline selection (left), and after the additional Z candidate selection (right). Expected signal contributions for two example mass points (dotted lines) are also shown. The last bin includes overflow events.

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Figure 2-b:
Distributions of ${{p_{\mathrm {T}}} ^\text {miss}}$ for simulated SM backgrounds (stacked histograms), with only the hadronic baseline selection (left), and after the additional Z candidate selection (right). Expected signal contributions for two example mass points (dotted lines) are also shown. The last bin includes overflow events.

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Figure 3:
Definition of the search and control regions in the plane of subleading- vs leading-jet ${m_{\text {jet}}}$. The search region (red), with both ${m_{\text {jet}}}$ values lying within the Z signal window, defines the acceptance for potential signal; the leading-jet mass sideband (dark blue), with subleading jet within and leading jet outside the window, is used to measure the background normalization; the ${{p_{\mathrm {T}}} ^\text {miss}}$ control region (light blue), with both leading- and subleading-jet ${m_{\text {jet}}}$ values lying outside the Z signal window, is used to derive the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search region.

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Figure 4:
Leading AK8 jet ${m_{\text {jet}}}$ shape fit in the mass sidebands. The Z-candidate selection is applied and the subleading AK8 jet ${m_{\text {jet}}}$ value is required to lie in the Z signal window. The yellow band represents the $ \pm $1$ \sigma $ uncertainty in the fit to the mass sideband performed with a linear function, which is indicated by the blue line. The stacked histogram shows the background from simulation scaled to the data.

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Figure 5:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {MC}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. This comparison is done for two main background components: ${{\mathrm{Z}} \rightarrow \nu \overline {\nu}}$ (left), and ${\mathrm{t} \mathrm{\bar{t}}}$ plus W+jets (right). A fit to a constant is included in the bottom panels to show the average ratio.

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Figure 5-a:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {MC}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. This comparison is done for two main background components: ${{\mathrm{Z}} \rightarrow \nu \overline {\nu}}$ (left), and ${\mathrm{t} \mathrm{\bar{t}}}$ plus W+jets (right). A fit to a constant is included in the bottom panels to show the average ratio.

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Figure 5-b:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {MC}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. This comparison is done for two main background components: ${{\mathrm{Z}} \rightarrow \nu \overline {\nu}}$ (left), and ${\mathrm{t} \mathrm{\bar{t}}}$ plus W+jets (right). A fit to a constant is included in the bottom panels to show the average ratio.

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Figure 6:
Results of the closure test in which the data-driven prediction method applied to simulation is compared with the direct yield, in the analysis search bins. The lower panel shows the ratio of the prediction to the direct yield. The grey band shows the statistical uncertainty in the direct yield, and the error bars on the points represent the total uncertainty in the prediction.

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Figure 7:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape between the Z signal window and ${{p_{\mathrm {T}}} ^\text {miss}}$ control region for the photon (left) and single-lepton (right) validation samples in data. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {data}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. A fit to a constant is included in the bottom panels to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins.

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Figure 7-a:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape between the Z signal window and ${{p_{\mathrm {T}}} ^\text {miss}}$ control region for the photon (left) and single-lepton (right) validation samples in data. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {data}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. A fit to a constant is included in the bottom panels to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins.

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Figure 7-b:
Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape between the Z signal window and ${{p_{\mathrm {T}}} ^\text {miss}}$ control region for the photon (left) and single-lepton (right) validation samples in data. The top panels show the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {data}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions while the bottom panels show the ratio of the number of events in the search region to that in the control region. A fit to a constant is included in the bottom panels to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins.

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Figure 8:
Observation and background prediction as a function of ${{p_{\mathrm {T}}} ^\text {miss}}$. The horizontal bar associated with each data point represents the width of the corresponding bin. The red hatched region denotes the expected statistical and systematic uncertainties added in quadrature.

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Figure 9:
95% CL upper limit on the production cross section for the T5ZZ signal model as a function of the gluino mass. The thick solid black curve shows the observed exclusion limit. The thick dashed black curve presents the expected limit while the green and yellow bands represent the $ \pm $1$ \sigma $ and $ \pm $2$ \sigma $ uncertainty ranges. The approximate-NNLO+NNLL cross sections [37,38,39,40,41] are shown in the thin solid blue curve while the dashed blue curves show their theoretical uncertainties [79]. The T5ZZ model assumes a 100% branching fraction for the ${\tilde{\chi}^0_2}$ to decay to the Z boson and ${\tilde{\chi}^0_1}$.
Tables

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Table 1:
Summary of systematic uncertainties, where the ranges refer to different ${{p_{\mathrm {T}}} ^\text {miss}}$ bins. In the last column we distinguish uncertainties that affect the normalizations ("norm."), the shapes of distributions, or both.

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Table 2:
Number of events in the ${{p_{\mathrm {T}}} ^\text {miss}}$ control region, transfer factor, background prediction, and observed yield in each of the six ${{p_{\mathrm {T}}} ^\text {miss}}$ bins. Where two uncertainties are quoted, the first is statistical and the second systematic. The systematic uncertainties in the background prediction include the shape uncertainties in addition to the uncertainty in $\mathcal {T}$. Also listed in the last column is the number of expected signal events and corresponding statistical uncertainties for an example mass point.
Summary
Results are presented of a search for events with two hadronically decaying, highly energetic Z bosons and large momentum imbalance, in pp collisions at $\sqrt{s} = $ 13 TeV. The sample corresponds to an integrated luminosity of 137 fb$^{-1}$. The signature for a Z boson candidate is a wide-cone jet having a measured mass compatible with the Z boson mass. Yields from standard model background processes are estimated from the data in jet-mass sidebands and other control samples, and are small for events with the largest momentum imbalance. No evidence for physics beyond the standard model is observed. The reach of the search is interpreted in a simplified supersymmetry model of gluino pair production in which each gluino decays to a low-momentum quark pair and the next-to-lightest supersymmetric particle, and the latter decays to a Z boson and the lightest supersymmetric particle. For this scenario, the data exclude gluino masses below 1920 GeV at 95% confidence level.
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