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CMS-SUS-19-013 ; CERN-EP-2020-149

Search for supersymmetry in proton-proton collisions at $\sqrt{s} = $ 13 TeV in events with high-momentum Z bosons and missing transverse momentum

CMS Collaboration

10 August 2020

JHEP 09 (2020) 149

Abstract: A search for new physics in events with two highly Lorentz-boosted Z bosons and large missing transverse momentum is presented. The analyzed proton-proton collision data, corresponding to an integrated luminosity of 137 fb$^{-1}$, were recorded at $\sqrt{s} = $ 13 TeV by the CMS experiment at the CERN LHC. The search utilizes the substructure of jets with large radius to identify quark pairs from Z boson decays. Backgrounds from standard model processes are suppressed by requirements on the jet mass and the missing transverse momentum. No significant excess in the event yield is observed beyond the number of background events expected from the standard model. For a simplified supersymmetric model in which the Z bosons arise from the decay of gluinos, an exclusion limit of 1920 GeV on the gluino mass is set at 95% confidence level. This is the first search for beyond-standard-model production of pairs of boosted Z bosons plus large missing transverse momentum.

Links: e-print arXiv:2008.04422 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ;

Figures
png pdf	Figure 1: Signal diagram for the T5ZZ simplified model 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 an energetic Z boson and large ${{p_{\mathrm {T}}} ^\text {miss}}$.
png pdf	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 the overflow events.
png pdf	Figure 2-a: Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for simulated SM backgrounds (stacked histograms), with the hadronic baseline selection. Expected signal contributions for two example mass points (dotted lines) are also shown. The last bin includes the overflow events.
png pdf	Figure 2-b: Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for simulated SM backgrounds (stacked histograms), with the hadronic baseline selection and after the additional Z candidate selection. Expected signal contributions for two example mass points (dotted lines) are also shown. The last bin includes the overflow events.
png pdf	Figure 3: Definition of the search and control regions in the plane of subleading vs. leading jet mass. The search region (red central box), 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 signal window, is used to measure the background normalization; the ${{p_{\mathrm {T}}} ^\text {miss}}$ CR (light blue), with both leading- and subleading-jet ${m_{\text {jet}}}$ values lying outside the signal window, is used to derive the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search region.
png pdf	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 blue hatched region represents the $ \pm $1 standard deviation 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. Expected signal contributions for two example mass points are also shown.
png pdf	Figure 5: Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions in simulation. The upper 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 lower 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: ${\mathrm{Z} \to \nu \bar{\nu}}$ (left) and ${\mathrm{t} {}\mathrm{\bar{t}}}$ plus W+jets (right). In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively, and a fit to a constant is included to show the average ratio.
png pdf	Figure 5-a: Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions in simulation. The upper panel shows the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {MC}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions, while the lower panel shows the ratio of the number of events in the search region to that in the control region. This comparison is done for the ${\mathrm{Z} \to \nu \bar{\nu}}$ background component. In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively, and a fit to a constant is included to show the average ratio.
png pdf	Figure 5-b: Comparison of the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape in the search and control regions in simulation. The upper panel shows the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {MC}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions, while the lower panel shows the ratio of the number of events in the search region to that in the control region. This comparison is done for the ${\mathrm{t} {}\mathrm{\bar{t}}}$ plus W+jets background components. In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively, and a fit to a constant is included to show the average ratio.
png pdf	Figure 6: Results of the closure test in which the background estimation method based on control samples in data is applied to simulation and compared with the direct yield, in the analysis search bins. Expected signal contribution for one example mass point is also shown. The lower panel shows the ratio of the prediction to the direct yield. The gray band shows the statistical uncertainty in the direct yield, and the error bars on the points represent the total uncertainty in the prediction.
png pdf	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 upper 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 lower 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 lower panels to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins. In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively.
png pdf	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 validation sample in data. The upper panel shows the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {data}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions, while the lower panel shows 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 lower panel to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins. In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively.
png pdf	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 single-lepton validation sample in data. The upper panel shows the unit-normalized ${{p_{\mathrm {T}}} ^\text {miss}}$ distributions $f^{\text {data}}({{p_{\mathrm {T}}} ^\text {miss}})$ in the two regions, while the lower panel shows 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 lower panel to show the average ratio. The horizontal bars on the markers indicate the widths of the search bins. In the lower panel the statistical uncertainties in the search and control region yields are denoted by the shading and vertical bars, respectively.
png pdf root	Figure 8: Observed data and background prediction as functions 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. Expected signal contribution for one example mass point is also shown.
png pdf root	Figure 9: The 95% CL upper limit on the production cross section for the T5ZZ signal model as a function of the gluino mass. The solid black curve shows the observed exclusion limit. The dashed black curve presents the expected limit while the green and yellow bands represent the $ \pm $1 and $ \pm $2 standard deviation uncertainty ranges. The approximate-NNLO+NNLL cross sections [41,42,43,44,45] are shown in the solid blue curve while the dashed blue curves show their theoretical uncertainties [84]. 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
png pdf	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.
png pdf	Table 2: Number of events in the ${{p_{\mathrm {T}}} ^\text {miss}}$ CR, 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 one example mass point.

Summary

Results are presented of a search for events with two hadronically decaying, highly energetic Z bosons and large transverse momentum imbalance, in proton-proton 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, which are small for events with the largest transverse momentum imbalance, are estimated from the data in jet mass sidebands. No evidence for physics beyond the standard model is observed. The reach of the search is interpreted in a simplified supersymmetric model of gluino pair production in which each gluino decays to a low-momentum quark pair and the next-to-lightest supersymmetric particle (NLSP), and the latter decays to a Z boson and the lightest supersymmetric particle (LSP). With the further assumption of a large mass splitting between the NLSP and LSP, the data exclude gluino masses below 1920 GeV at 95% confidence level. This is the first search for beyond-standard-model production of pairs of boosted Z bosons plus large missing transverse momentum.

Additional Figures
png pdf root	Additional Figure 1: Pre-fit background covariance matrix (left) and correlation matrix (right), for the six ${{p_{\mathrm {T}}} ^\text {miss}}$ bins.
png pdf root	Additional Figure 1-a: Pre-fit background covariance matrix, for the six ${{p_{\mathrm {T}}} ^\text {miss}}$ bins.
png pdf root	Additional Figure 1-b: Pre-fit background correlation matrix, for the six ${{p_{\mathrm {T}}} ^\text {miss}}$ bins.
png pdf	Additional Figure 2: The efficiency to reconstruct $ {\mathrm {Z}} \to {{\mathrm {q}} {\overline {\mathrm {q}}}} $ decays as an AK8 jet as a function of the generator Z ${p_{\mathrm {T}}}$ is shown by the open circles. The efficiency for the jets to pass the Z-mass window cut is shown by the full circles. The plot is made for an example mass point $ {m({{\mathrm {\tilde{g}}}})} = $ 1300 GeV.
png pdf	Additional Figure 3: The efficiency to reconstruct $ {\mathrm {Z}} \to {{\mathrm {q}} {\overline {\mathrm {q}}}} $ decays as an AK8 jet as a function of the generator Z ${p_{\mathrm {T}}}$ is shown by the open circles. The efficiency for the jets to pass the Z-mass window cut is shown by the full circles. The plot is made for an example mass point $ {m({{\mathrm {\tilde{g}}}})} = $ 2100 GeV.

Additional Tables
png pdf	Additional Table 1: Observed numbers of events and post-fit backgrounds in each of the six ${{p_{\mathrm {T}}} ^\text {miss}}$ bins.
png pdf	Additional Table 2: Observed significance (in standard deviations) of the T5ZZ signal model as a function of the gluino mass.
png pdf	Additional Table 3: Observed upper limits in cross-section of the T5ZZ signal model as a function of the gluino mass.
png pdf	Additional Table 4: Cut flow for the signal for two example mass points of the T5ZZ signal model for an integrated luminosity of 137 fb$^{-1}$. Here the hadronic baseline is defined by $ {N_{\text {jet}}} \ge $ 2, $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 300 GeV, $ {H_{\mathrm {T}}} > $ 300 GeV, $ {\Delta \phi _{j,\, {\vec{H}_{\text {T}}^{\text {miss}}}}} $ cuts, and the isolated photon, lepton and track veto.

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