CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-EXO-24-033
Search for long-lived particles using displaced vertices with low-momentum tracks and missing transverse momentum in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Abstract: A search for long-lived particles using final states including a displaced vertex with low-momentum tracks, significant missing transverse momentum, and a jet from initial state radiation is presented. The search uses the proton-proton collision data at a center-of-mass energy of 13 TeV collected by the CMS experiment at the CERN LHC in 2017 and 2018 with a total integrated luminosity of 100 fb$ ^{-1} $. This search adopts specific supersymmetric (SUSY) coannihilation scenarios as benchmark signal models, characterized by a next-to-lightest SUSY particle (NLSP) with a mass difference of less than 25 GeV relative to the lightest SUSY particle (LSP). In the top squark coannihilation model, the NLSP is a long-lived top squark, while the LSP is a bino-like neutralino. In the bino-wino coannihilation model, the NLSPs are long-lived wino-like neutralino and prompt wino-like chargino, and the LSP remains a bino-like neutralino. The search excludes top squarks with masses less than 400-1100 GeV and wino-like neutralinos with masses less than 220-550 GeV, depending on the signal parameters. It sets the most stringent limits to date for the top squark coannihilation and bino-wino coannihilation models.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Feynman diagrams for top squark coannihilation model (left) and bino-wino coannihilation model (right). The ISR jet is not shown in the diagrams.

png pdf
Figure 1-a:
Feynman diagrams for top squark coannihilation model (left) and bino-wino coannihilation model (right). The ISR jet is not shown in the diagrams.

png pdf
Figure 1-b:
Feynman diagrams for top squark coannihilation model (left) and bino-wino coannihilation model (right). The ISR jet is not shown in the diagrams.

png pdf
Figure 2:
LLP reconstruction efficiency as a function of the transverse displacement. Bino-wino coannihilation samples with LLP mass of 400 GeV, $ c\tau = $ 20 mm, and $ \Delta m = $ 25 (blue) and 12 (red) GeV are shown in the plot. Tuned (solid) and default (dashed) IVF are compared.

png pdf
Figure 3:
Diagram that shows key features of a displaced vertex.

png pdf
Figure 4:
The vertex $ \alpha_{\text{p}} $ distribution compared between data, simulation, and bino-wino coannihilation sample with LLP mass of 400 GeV, $ c\tau = $ 20 mm, and $ \Delta m = $ 15 GeV. All distributions are normalized to unity. The ratios between data and simulation are shown in the lower panel.

png pdf
Figure 5:
Material map for CMS tracker derived from data.

png pdf
Figure 6:
Definition of signal (orange) and control (blue) regions. Different planes are defined based on the number of good tracks in the vertex. In each plane, different regions are divided according to the $ p_{\mathrm{T}}^\text{miss} $ and $ S_{xy}^{\text{vtx}} $. The letters in the boxes correspond to the region labels described in the text, while the numbers in the boxes correspond to the plane definitions.

png pdf
Figure 7:
The $ \mathrm{K^0_S} $ decay candidate vertex $ L_{xy} $ distribution compared between data and simulation. The ratios between data and simulation are shown in the lower panel.

png pdf
Figure 8:
Observed 95% CL upper limits on the top squark production cross section, as a function of $ m_{\tilde{\mathrm{t}}} $ and $ \Delta m $, for $ \mathcal{B}(\tilde{\mathrm{t}} \to \mathrm{b} \mathrm{f}\mathrm{\overline{f}'} \tilde{\chi}_{1}^{0}) $ of 10% (upper left), 50% (upper right), and 100% (lower). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 8-a:
Observed 95% CL upper limits on the top squark production cross section, as a function of $ m_{\tilde{\mathrm{t}}} $ and $ \Delta m $, for $ \mathcal{B}(\tilde{\mathrm{t}} \to \mathrm{b} \mathrm{f}\mathrm{\overline{f}'} \tilde{\chi}_{1}^{0}) $ of 10% (upper left), 50% (upper right), and 100% (lower). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 8-b:
Observed 95% CL upper limits on the top squark production cross section, as a function of $ m_{\tilde{\mathrm{t}}} $ and $ \Delta m $, for $ \mathcal{B}(\tilde{\mathrm{t}} \to \mathrm{b} \mathrm{f}\mathrm{\overline{f}'} \tilde{\chi}_{1}^{0}) $ of 10% (upper left), 50% (upper right), and 100% (lower). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 8-c:
Observed 95% CL upper limits on the top squark production cross section, as a function of $ m_{\tilde{\mathrm{t}}} $ and $ \Delta m $, for $ \mathcal{B}(\tilde{\mathrm{t}} \to \mathrm{b} \mathrm{f}\mathrm{\overline{f}'} \tilde{\chi}_{1}^{0}) $ of 10% (upper left), 50% (upper right), and 100% (lower). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 9:
Observed 95% CL upper limits on the production cross section for the bino-wino coannihilation model, as a function of LLP mass and $ c\tau $, for $ \Delta m $ of 12 GeV (upper left), 15 GeV (upper right), 20 GeV (lower left), and 25 GeV (lower right). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 9-a:
Observed 95% CL upper limits on the production cross section for the bino-wino coannihilation model, as a function of LLP mass and $ c\tau $, for $ \Delta m $ of 12 GeV (upper left), 15 GeV (upper right), 20 GeV (lower left), and 25 GeV (lower right). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 9-b:
Observed 95% CL upper limits on the production cross section for the bino-wino coannihilation model, as a function of LLP mass and $ c\tau $, for $ \Delta m $ of 12 GeV (upper left), 15 GeV (upper right), 20 GeV (lower left), and 25 GeV (lower right). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 9-c:
Observed 95% CL upper limits on the production cross section for the bino-wino coannihilation model, as a function of LLP mass and $ c\tau $, for $ \Delta m $ of 12 GeV (upper left), 15 GeV (upper right), 20 GeV (lower left), and 25 GeV (lower right). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.

png pdf
Figure 9-d:
Observed 95% CL upper limits on the production cross section for the bino-wino coannihilation model, as a function of LLP mass and $ c\tau $, for $ \Delta m $ of 12 GeV (upper left), 15 GeV (upper right), 20 GeV (lower left), and 25 GeV (lower right). The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the plot.
Tables

png pdf
Table 1:
Summary of the systematic uncertainties.

png pdf
Table 2:
Event yield of data in the search planes. Predictions for control regions, including all regions in the control plane and Regions B and D in the loose signal plane, are not available because those regions are used to make predictions. In addition, the event yield of the top squark coannihilation sample with $ m_{\tilde{\mathrm{t}}}= $ 1000 GeV, $ \Delta m = $ 20 GeV, and $ \mathcal{B}(\tilde{\mathrm{t}} \to \mathrm{b} \mathrm{f}\mathrm{\overline{f}'} \tilde{\chi}_{1}^{0}) = $ 100% is shown in the row labeled as ``signal''.
Summary
This note presents a search for long-lived particles in signatures of low-momentum displaced vertices, missing transverse momentum, and an initial state radiation jet. Proton-proton collision data at a center-of-mass energy of 13 TeV collected by the CMS experiment at the CERN LHC, with a total integrated luminosity of 100 fb$ ^{-1} $, are used in the search. Compared with the previous CMS and ATLAS searches using displaced vertices, this search targets vertices with significantly lower momentum. This search adopts specific supersymmetric (SUSY) coannihilation scenarios as benchmark signal models, characterized by a long-lived next-to-lightest SUSY particle (NLSP) with a mass difference of less than 25 GeV relative to the lightest SUSY particle (LSP). In the top squark coannihilation model, the NLSP is a top squark, while the LSP is a bino-like neutralino. In the bino-wino coannihilation model, the NLSPs are long-lived wino-like neutralino and prompt wino-like chargino, and the LSP remains a bino-like neutralino. This search reconstructs displaced vertices using a customized reconstruction algorithm based on the adaptive vertex fitter [60]. In addition, the background estimation method using transfer factors allows targeting multiple search regions, thus enhancing the search sensitivity. The search shows good overall agreement between the background predictions and observed event yields across most search regions. The resulting $ p $-value is 0.5, indicating no significant deviation from the background expectation. It excludes top squark masses less than 400-1100 GeV and wino-like neutralinos with masses less than 220 -550 GeV, depending on signal parameters. This search is the first LHC search that targets displaced vertices and shows sensitivity for hadronically decaying long-lived particles with a mass difference of less than 25 GeV. It sets the most stringent upper limits to date for the top squark coannihilation and bino-wino coannihilation signal models.
References
1 A. Delgado et al. The light stop window EPJC 73 (2013) 2370 1212.6847
2 R. Gröber, M. M. Mühlleitner, E. Popenda, and A. Wlotzka Light stop decays: Implications for LHC searches EPJC 75 (2015) 420 1408.4662
3 N. Nagata, H. Otono, and S. Shirai Probing bino-wino coannihilation at the LHC JHEP 10 (2015) 086 1506.08206
4 G. F. Giudice and A. Romanino Split supersymmetry NPB 699 (2004) 65 hep-ph/0406088
5 J. L. Hewett, B. Lillie, M. Masip, and T. G. Rizzo Signatures of long-lived gluinos in split supersymmetry JHEP 09 (2004) 070 hep-ph/0408248
6 N. Arkani-Hamed, S. Dimopoulos, G. F. Giudice, and A. Romanino Aspects of split supersymmetry NPB 709 (2005) 3 hep-ph/0409232
7 P. Gambino, G. F. Giudice, and P. Slavich Gluino decays in split supersymmetry NPB 726 (2005) 35 hep-ph/0506214
8 A. Arvanitaki, N. Craig, S. Dimopoulos, and G. Villadoro Mini-split JHEP 02 (2013) 126 1210.0555
9 N. Arkani-Hamed et al. Simply unnatural supersymmetry 1212.6971
10 J. Fan, M. Reece, and J. T. Ruderman Stealth supersymmetry JHEP 11 (2011) 012 1105.5135
11 J. Fan, M. Reece, and J. T. Ruderman A stealth supersymmetry sampler JHEP 07 (2012) 196 1201.4875
12 G. F. Giudice and R. Rattazzi Theories with gauge mediated supersymmetry breaking Phys. Rept. 322 (1999) 419 hep-ph/9801271
13 P. Meade, N. Seiberg, and D. Shih General gauge mediation Prog. Theor. Phys. Suppl. 177 (2009) 143 0801.3278
14 M. Buican, P. Meade, N. Seiberg, and D. Shih Exploring general gauge mediation JHEP 03 (2009) 016 0812.3668
15 M. J. Strassler and K. M. Zurek Echoes of a hidden valley at hadron colliders PLB 651 (2007) 374 hep-ph/0604261
16 M. J. Strassler and K. M. Zurek Discovering the Higgs through highly-displaced vertices PLB 661 (2008) 263 hep-ph/0605193
17 T. Han, Z. Si, K. M. Zurek, and M. J. Strassler Phenomenology of hidden valleys at hadron colliders JHEP 07 (2008) 008 0712.2041
18 ATLAS Collaboration Search for long-lived, massive particles in events with displaced vertices and missing transverse momentum in $ \sqrt{s} $ = 13 TeV pp collisions with the ATLAS detector PRD 97 (2018) 052012 1710.04901
19 ATLAS Collaboration Search for long-lived, massive particles in events with a displaced vertex and a muon with large impact parameter in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 102 (2020) 032006 2003.11956
20 CMS Collaboration Search for long-lived particles decaying to jets with displaced vertices in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRD 104 (2021) 052011 CMS-EXO-19-013
2104.13474
21 CMS Collaboration Search for long-lived particles using displaced jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 104 (2021) 012015 CMS-EXO-19-021
2012.01581
22 ATLAS Collaboration Search for long-lived, massive particles in events with displaced vertices and multiple jets in pp collisions at $ \sqrt{s} $ = 13 TeV with the ATLAS detector JHEP 06 (2023) 200 2301.13866
23 CMS Collaboration Search for long-lived particles using displaced vertices and missing transverse momentum in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 109 (2024) 112005 CMS-EXO-22-020
2402.15804
24 CMS Collaboration Search for light long-lived particles decaying to displaced jets in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV Rept. Prog. Phys. 88 (2025) 037801 CMS-EXO-23-013
2409.10806
25 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
26 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
27 CMS Collaboration Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13\,TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
28 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
29 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
30 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
31 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
32 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
33 Tracker Group of the CMS Collaboration The CMS Phase-1 pixel detector upgrade JINST 16 (2021) P02027 2012.14304
34 CMS Collaboration Track impact parameter resolution for the full pseudo rapidity coverage in the 2017 dataset with the CMS Phase-1 pixel detector CMS Detector Performance Summary CMS-DP-2020-049, 2020
CDS
35 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
36 CMS Collaboration Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid CMS Technical Proposal CERN-LHCC-2015-010, CMS-TDR-15-02, 2015
link
37 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
38 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
39 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
40 CMS Collaboration CMS jet algorithms performance in 13 TeV data CMS Physics Analysis Summary, 2016
CMS-PAS-JME-16-003
CMS-PAS-JME-16-003
41 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
42 E. Bols et al. Jet flavour classification using DeepJet JINST 15 (2020) P12012 2008.10519
43 CMS Collaboration Performance of the DeepJet b tagging algorithm using 41.9/fb of data from proton-proton collisions at 13 TeV with Phase 1 CMS detector CMS Detector Performance Summary CMS-DP-2018-058, 2018
CDS
44 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
45 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
46 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
47 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
48 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
49 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
50 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
51 W. Beenakker et al. NNLL-fast: Predictions for coloured supersymmetric particle production at the LHC with threshold and Coulomb resummation JHEP 12 (2016) 133 1607.07741
52 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
53 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
54 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
55 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
56 E. Re Single-top $ {\mathrm{W}}{\mathrm{t}} $-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
57 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111 0907.4076
58 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
59 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
60 J. D'Hondt, P. Vanlaer, R. Fruhwirth, and W. Waltenberger Sensitivity of robust vertex fitting algorithms IEEE Trans. Nucl. Sci. 51 (2004) 2037
61 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} $ = 13 TeV CMS Physics Analysis Summary, 2018
link
CMS-PAS-LUM-17-004
62 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} $ = 13 TeV CMS Physics Analysis Summary, 2019
link
CMS-PAS-LUM-18-002
63 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
64 A. L. Read Presentation of search results: The CL$ _{\text{s}} $ technique JPG 28 (2002) 2693
65 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
66 CMS Collaboration The CMS statistical analysis and combination tool: \textscCombine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
67 C. Borschensky et al. Squark and gluino production cross sections in pp collisions at $ \sqrt{s} $ = 13, 14, 33 and 100 TeV EPJC 74 (2014) 3174 1407.5066
Compact Muon Solenoid
LHC, CERN