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CMS-PAS-EXO-21-014
Search for long-lived particles in pp collision events with delayed trackless jets at $ \sqrt{s} = $ 13 TeV
Abstract: A search for long-lived particles decaying in the outer regions of the CMS silicon tracker or in the calorimeters is presented. The data sample consists of 138 fb$ ^{-1} $ of proton-proton collisions at $ \sqrt{s} = $ 13 TeV, recorded at the LHC in 2016--2018. A novel technique, using trackless and delayed jet information combined in a deep neural network discriminator, is employed to identify decays of long-lived particles. The results are interpreted in a simplified model of chargino-neutralino production, where the neutralino is the next-to-lightest supersymmetric particle, is long-lived, and decays to a gravitino and either a Higgs or Z boson. This search is most sensitive to neutralino proper decay lengths of $ \approx $1 $ \mathrm{m} $, for which neutralino masses from up to 1180 GeV are excluded at 95% confidence level.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagrams of the effective neutralino pair production in the GMSB simplified model in which the two neutralinos decay into two gravitinos and two Z bosons (left), a Z and a Higgs boson (H) (center), or two Higgs bosons (right).

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Figure 1-a:
Feynman diagrams of the effective neutralino pair production in the GMSB simplified model in which the two neutralinos decay into two gravitinos and two Z bosons.

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Figure 1-b:
Feynman diagrams of the effective neutralino pair production in the GMSB simplified model in which the two neutralinos decay into two gravitinos and a Z and a Higgs boson (H).

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Figure 1-c:
Feynman diagrams of the effective neutralino pair production in the GMSB simplified model in which the two neutralinos decay into two gravitinos and two Higgs bosons.

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Figure 2:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 2-a:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 2-b:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 2-c:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 2-d:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 2-e:
The distributions of the most impactful input variables to the TD jet tagger for signal (red) and collision background (blue). They include the charged and neutral hadron energy fraction, the number of track constituents in the jet, the $ \Delta R $ between the jet axis and the closest track associated with the PV, and the jet time.

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Figure 3:
Left: TD jet tagger score distributions for signal, in red, and collision background, in blue. Right: Identification probability for the signal versus the misidentification probability for the background with the tagger working point used in the analysis shown as a blue marker.

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Figure 3-a:
TD jet tagger score distributions for signal, in red, and collision background, in blue.

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Figure 3-b:
Identification probability for the signal versus the misidentification probability for the background with the tagger working point used in the analysis shown as a blue marker.

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Figure 4:
TD jet tagger score distributions for background, in blue, and data, black markers, when using electrons from $ \mathrm{W}\to\mathrm{e}\nu_{\!\mathrm{e}} $ events as proxy objects.

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Figure 5:
The TD jet tagger misidentification probability measured using the nominal W+jets MR is shown along with the systematic uncertainty, quantifying the degree of process dependence measured from alternative MRs. On the left, the TD jet tagger misidentification probability is shown for the first 19.9 fb$ ^{-1} $ of data collected in 2016, while on the right the TD jet tagger misidentification probability is shown for the last 16.4 fb$ ^{-1} $ of data collected in 2016 along with data collected in 2017 and 2018.

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Figure 5-a:
The TD jet tagger misidentification probability measured using the nominal W+jets MR is shown along with the systematic uncertainty, quantifying the degree of process dependence measured from alternative MRs. The TD jet tagger misidentification probability is shown for the first 19.9 fb$ ^{-1} $ of data collected in 2016.

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Figure 5-b:
The TD jet tagger misidentification probability measured using the nominal W+jets MR is shown along with the systematic uncertainty, quantifying the degree of process dependence measured from alternative MRs. The TD jet tagger misidentification probability is shown for the last 16.4 fb$ ^{-1} $ of data collected in 2016 along with data collected in 2017 and 2018.

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Figure 6:
Distribution of the number of TD tagged jets for the $ m_{\tilde{\chi}_{1}^{0}} = $ 400 GeV signal samples with $ c\tau_{\tilde{\chi}_{1}^{0}}= $ 0.5 m (red line) and $ c\tau_{\tilde{\chi}_{1}^{0}}= $ 3 m (dotted green line), estimated background (blue markers), and observed data (black markers). The blue shaded region indicates the systematic uncertainty of the background prediction. No background prediction is shown for the bin with zero TD tagged jets as it is the main control region used to predict the background for the remaining two bins.

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Figure 7:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ m_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ c\tau = $ 0.5 m (left) or 3 m (right).

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Figure 7-a:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ m_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ c\tau = $ 0.5 m.

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Figure 7-b:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ m_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ c\tau = $ 3 m.

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Figure 8:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ c\tau_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ m_{\tilde{\chi}_{1}^{0}}= $ 400 GeV (left) or 1000 GeV (right).

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Figure 8-a:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ c\tau_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ m_{\tilde{\chi}_{1}^{0}}= $ 400 GeV.

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Figure 8-b:
95% CL expected and observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ c\tau_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5 and $ m_{\tilde{\chi}_{1}^{0}}= $ 1000 GeV.

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Figure 9:
95% CL observed upper limits on $ \sigma_{\tilde{\chi}_{1}^{0}\tilde{\chi}_{1}^{0}} $ as a function of $ m_{\tilde{\chi}_{1}^{0}} $ and $ c\tau_{\tilde{\chi}_{1}^{0}} $ in a scenario with $ \mathcal{B}(\tilde{\chi}_{1}^{0}\to\mathrm{H}\tilde{\mathrm{G}}) = $ 0.5.
Tables

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Table 1:
Summary of statistical and systematic uncertainties, the size of their effect, and whether it applies to the signal or background yield predictions. Ranges for signal systematic uncertainties reflect their impact on different signal parameter space points.
Summary
A search for long-lived particles was carried out on 138 fb$ ^{-1} $ of proton-proton collision data at $ \sqrt{s} = $ 13 TeV using missing transverse momentum and a novel and highly discriminating deep neutral network tagger for trackless and delayed (TD) jets. Each additional TD-tagged jet required suppresses standard model background processes by more than three orders of magnitude while maintaining signal efficiency above 80%. A data-driven background estimation method uses the tagger's measured misidentification probability to extrapolate from event samples with one or fewer tagged jets to the signal region comprising events with two or more tagged jets. The results are interpreted in the context of a simplified model of electroweak production of chargino-neutralino pairs. For a neutralino ($ \tilde{\chi}_{1}^{0} $) proper decay length of $ c\tau_{\tilde{\chi}_{1}^{0}}= $ 0.5 m, we exclude cross sections of 160, 2.6, and 0.8 fb for $ \tilde{\chi}_{1}^{0} $ masses ($ m_{\tilde{\chi}_{1}^{0}} $) of 200, 400, and 600 GeV, respectively, at a 95% confidence level. Compared to previous searches for promptly decaying $ \tilde{\chi}_{1}^{0} $ in the same simplified model, the sensitivity of the current search is about 20 (10) times better at $ m_{\tilde{\chi}_{1}^{0}} = $ 400 (600) GeV. In the case of a long-lived $ \tilde{\chi}_{1}^{0} $ with $ c\tau_{\tilde{\chi}_{1}^{0}}= $ 0.5 m, $ \tilde{\chi}_{1}^{0} $ masses up to 1.18 TeV are excluded at a 95% confidence level.
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