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CMS-SUS-15-006 ; CERN-EP-2016-239
Search for supersymmetry in events with one lepton and multiple jets in proton-proton collisions at $\sqrt{s}= $ 13 TeV
Phys. Rev. D 95 (2017) 012011
Abstract: A search for supersymmetry is performed in events with a single electron or muon in proton-proton collisions at a center-of-mass energy of 13 TeV. The data were recorded by the CMS experiment at the LHC and correspond to an integrated luminosity of 2.3 fb$^{-1}$. Several exclusive search regions are defined based on the number of jets and b-tagged jets, the scalar sum of the jet transverse momenta, and the scalar sum of the missing transverse momentum and the transverse momentum of the lepton. The observed event yields in data are consistent with the expected backgrounds from standard model processes. The results are interpreted using two simplified models of supersymmetric particle spectra, both of which describe gluino pair production. In the first model, each gluino decays via a three-body process to top quarks and a neutralino, which is associated with the observed missing transverse momentum in the event. Gluinos with masses up to 1.6 TeV are excluded for neutralino masses below 600 GeV. In the second model, each gluino decays via a three-body process to two light quarks and a chargino, which subsequently decays to a W boson and a neutralino. The mass of the chargino is taken to be midway between the gluino and neutralino masses. In this model, gluinos with masses below 1.4 TeV are excluded for neutralino masses below 700 GeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Diagrams showing the simplified models (left) T1tttt and (right) T5qqqqWW. Depending on the mass difference between the chargino ($\tilde{\chi}^{pm}_1 $) and the neutralino ($\tilde{\chi}^0_1 $), the W boson can be virtual.

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Figure 1-a:
Diagram showing the simplified model T1tttt. Depending on the mass difference between the chargino ($\tilde{\chi}^{pm}_1 $) and the neutralino ($\tilde{\chi}^0_1 $), the W boson can be virtual.

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Figure 1-b:
Diagram showing the simplified model T5qqqqWW. Depending on the mass difference between the chargino ($\tilde{\chi}^{pm}_1 $) and the neutralino ($\tilde{\chi}^0_1 $), the W boson can be virtual.

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Figure 2:
The $ {H_{\mathrm {T}}} $ distribution for (left) the multi-b analysis and (right) the zero-b analysis, both after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. Overflows are included in the last bin. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels. All uncertainties are statistical only.

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Figure 2-a:
The $ {H_{\mathrm {T}}} $ distribution for the multi-b analysis, after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. Overflows are included in the last bin. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels. All uncertainties are statistical only.

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Figure 2-b:
The $ {H_{\mathrm {T}}} $ distribution for the zero-b analysis, after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. Overflows are included in the last bin. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels. All uncertainties are statistical only.

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Figure 3:
Comparison of the $ {\Delta \Phi } $ distribution for (left) the multi-b and (right) the zero-b analysis after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. The wider bins are normalized to a bin width of 0.1. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels.

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Figure 3-a:
Comparison of the $ {\Delta \Phi } $ distribution for the multi-b analysis after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. The wider bins are normalized to a bin width of 0.1. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels.

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Figure 3-b:
Comparison of the $ {\Delta \Phi } $ distribution for the zero-b analysis after the baseline selection. The simulated background events are stacked on top of each other, and several signal points are overlaid for illustration, but without stacking. The wider bins are normalized to a bin width of 0.1. The label DY refers to $ {\mathrm{ q } \mathrm{ \bar{q} } } \to {\mathrm{ Z } } /\gamma ^* \to \ell ^{+}\ell ^{-}$ events, and QCD refers to multijet events. The event yields for the benchmark models have been scaled up by a factor of 10. The ratio of data to simulation is given below each of the panels.

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Figure 4:
Fits to the $ {n_{\mathrm{ b } }} $ multiplicity for control regions in (left) 3 $ \leq {n_\text {jet}} \leq $ 4 (250 $\leq {L_\mathrm {T}} < $ 350 GeV, $ {H_{\mathrm {T}}} \geq $ 500 GeV, $ {\Delta \Phi } < $ 1) and (right) 6 $ \leq {n_\text {jet}} \leq $ 7 (250 $ \leq {L_\mathrm {T}} < $ 350 GeV, $ {H_{\mathrm {T}}} \geq $ 750 GeV, $ {\Delta \Phi } < $ 1) in data (muon channel). The solid lines represent the templates scaled according to the fit result (blue for ${\mathrm{ t } \mathrm{ \bar{t} } } $, green for W+jets, turquoise for QCD, and red for the remaining backgrounds), the dashed line shows the sum after fit, and the points with error bars represent data.

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Figure 4-a:
Fits to the $ {n_{\mathrm{ b } }} $ multiplicity for control regions in 3 $ \leq {n_\text {jet}} \leq $ 4 (250 $\leq {L_\mathrm {T}} < $ 350 GeV, $ {H_{\mathrm {T}}} \geq $ 500 GeV, $ {\Delta \Phi } < $ 1) in data (muon channel). The solid lines represent the templates scaled according to the fit result (blue for ${\mathrm{ t } \mathrm{ \bar{t} } } $, green for W+jets, turquoise for QCD, and red for the remaining backgrounds), the dashed line shows the sum after fit, and the points with error bars represent data.

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Figure 4-b:
Fits to the $ {n_{\mathrm{ b } }} $ multiplicity for control regions in 6 $ \leq {n_\text {jet}} \leq $ 7 (250 $ \leq {L_\mathrm {T}} < $ 350 GeV, $ {H_{\mathrm {T}}} \geq $ 750 GeV, $ {\Delta \Phi } < $ 1) in data (muon channel). The solid lines represent the templates scaled according to the fit result (blue for ${\mathrm{ t } {}\mathrm{ \bar{t} } } $, green for W+jets, turquoise for QCD, and red for the remaining backgrounds), the dashed line shows the sum after fit, and the points with error bars represent data.

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Figure 5:
Multi-b search: comparison of observed and predicted background event yields in the 30 search regions. Upper panel: the data are shown by black points with error bars, while the total SM background predictions are shown by a grey line with a hatched region representing its uncertainty. For illustration, the relative fraction of the different SM background contributions, as determined from simulation, is shown by the stacked, colored histograms, whose total normalization is set by the total background yields obtained from the control samples in the data. The expected event yields for two T1tttt SUSY benchmark models are shown by open histograms, each of which is shown stacked on the total background prediction. The vertical dashed and dotted lines separate different ${n_\text {jet}}$ and ${L_\mathrm {T}}$ bins, respectively, as indicated by the $x$-axis labels. Lower panel: the ratio of the yield observed in data to the predicted background yield is shown for each bin. The error bars on the data points indicate the combined statistical and systematic uncertainty in the ratio. The grey hatched region indicates the uncertainty on the ratio that arises from the uncertainty on the background prediction.

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Figure 6:
Zero-b search: observed and predicted event counts in the 13 search regions. Upper panel: the black points with error bars show the number of observed events. The filled, stacked histograms represent the predictions for ${\mathrm{ t } \mathrm{ \bar{t} } } $, W+jets events, and the remaining backgrounds. The uncertainty on the background prediction is shown as a grey, hatched region. The expected yields from three T5qqqqWW model points, added to the SM background, are shown as solid lines. Lower panel: the ratio of the yield observed in data to the predicted background yield is shown for each bin. The error bars on the data points indicate the combined statistical and systematic uncertainty in the ratio. The grey hatched region indicates the uncertainty on the ratio that arises from the uncertainty on the background prediction.

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Figure 7:
Cross section limits at a 95% CL for the (left) T1tttt and (right) T5qqqqWW models, as a function of the gluino and LSP masses. In T5qqqqWW, the pair-produced gluinos each decay to a quark-antiquark pair of the first or second generation ($ {\mathrm{ q } \mathrm{ \bar{q} } }$), and a chargino ($\tilde{\chi}^{pm}_1$) with its mass taken to be $m_{\tilde{\chi}^{pm}_1 }=0.5(m_{\tilde{ \gamma } }+m_{\tilde{\chi}^0_1 })$. The solid black (dashed red) lines correspond to the observed (expected) mass limits, with the thicker lines representing the central values and the thinner lines representing the ${\pm }1\sigma $ uncertainty bands related to the theoretical (experimental) uncertainties.

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Figure 7-a:
Cross section limit at a 95% CL for the T1tttt model, as a function of the gluino and LSP masses. The solid black (dashed red) lines correspond to the observed (expected) mass limits, with the thicker lines representing the central values and the thinner lines representing the ${\pm }1\sigma $ uncertainty bands related to the theoretical (experimental) uncertainties.

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Figure 7-b:
Cross section limits at a 95% CL for the T5qqqqWW model, as a function of the gluino and LSP masses. The pair-produced gluinos each decay to a quark-antiquark pair of the first or second generation ($ {\mathrm{ q } \mathrm{ \bar{q} } }$), and a chargino ($\tilde{\chi}^{pm}_1$) with its mass taken to be $m_{\tilde{\chi}^{pm}_1 }=0.5(m_{\tilde{ \gamma } }+m_{\tilde{\chi}^0_1 })$. The solid black (dashed red) lines correspond to the observed (expected) mass limits, with the thicker lines representing the central values and the thinner lines representing the ${\pm }1\sigma $ uncertainty bands related to the theoretical (experimental) uncertainties.
Tables

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Table 1:
Expected event yields for SUSY signal benchmark models, normalized to 2.3 fb$^{-1}$. The baseline selection corresponds to all requirements up to and including the requirement on ${L_\mathrm {T}} $. The last two lines are exclusive for the zero-b and the multi-b selection, respectively. The events are corrected with scale factors to account for differences in the lepton identification and isolation efficiencies, trigger efficiency, and the b-tagging efficiency between simulation and data.

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Table 2:
Search regions and the corresponding minimum ${\Delta \Phi }$ requirements.

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Table 3:
Overview of the definitions of sideband and mainband regions. For the multijet (QCD) fit the electron (e) sample is used, while for the determination (det.) of $ {R_\mathrm {CS}} (\mathrm{ W^{\pm} })$ the muon ($\mu $) sample is used. Empty cells are not used in this analysis.

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Table 4:
Summary of systematic uncertainties in the total background prediction for the multi-b and for the zero-b analysis.

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Table 5:
Summary of the systematic uncertainties and their average effect on the yields of the benchmark signals. The values are very similar for the multi-b and the zero-b analysis, and are usually larger for compressed scenarios, where the mass difference between gluino and neutralino is small.

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Table 6:
Summary of the results in the multi-b search.

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Table 7:
Summary of the results of the zero-b search.
Summary
A search for supersymmetry has been performed with 2.3 fb$^{-1}$ of proton-proton collision data recorded by the CMS experiment at $ \sqrt{s} = $ 13 TeV in 2015. The data are analyzed in several exclusive categories, differing in the number of jets and b-tagged jets, the scalar sum of all jet transverse momenta, and the scalar sum of the missing transverse momentum and the transverse momentum of the lepton. The main background is significantly reduced by requiring a large azimuthal angle between the directions of the momenta of the lepton and of the reconstructed W boson. No significant excess is observed, and the results are interpreted in terms of two simplified models that describe gluino pair production. For the simplified model T1tttt, in which each gluino decays through an off-shell top squark to a $\mathrm{ t \bar{t} }$ pair and the lightest neutralino, gluino masses up to 1.6 TeV are excluded for neutralino masses below 600 GeV. Neutralino masses below 850 GeV can be excluded for a gluino mass up to 1.4 TeV. Similar to Ref. [16], these results extend the limits obtained from the 8 TeV searches [13,14,15] by about 250 GeV. The second simplified model T5qqqqWW also contains gluino pair production, with the gluinos decaying to first or second generation squarks and a chargino, which then decays to a W boson and the lightest neutralino. The chargino mass in this decay chain is taken to be $m_{\tilde{\chi}^{pm}_1}= 0.5(m_{\tilde{ \gamma }}+m_{\tilde{\chi}^0_1})$. In this model, gluino masses below 1.4 TeV are excluded for neutralino masses below 700 GeV. For a gluino mass of 1.3 TeV, neutralinos with masses up to 850 GeV can be excluded. These results improve existing limits [17] on the neutralino mass in this channel for gluino masses between 900 GeV and 1.4 TeV.
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