CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-SUS-19-003
Search for top squark pair production in a di-tau final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Abstract: A search for the pair production of the supersymmetric partner of the top quark, the top squark, produced in proton-proton collision events at $ \sqrt{s} = $ 13 TeV is presented in final states containing hadronically decaying tau leptons and large missing transverse momentum. These final states are highly sensitive to high $ \tan{\beta} $ or higgsino-like scenarios in which decays of electroweak gauginos to tau leptons are dominant. The search uses a dataset corresponding to an integrated luminosity of 77 fb$^{-1}$ which was recorded by the CMS detector during 2016 and 2017. No significant excess is observed with respect to the background prediction, and exclusion limits at 95% confidence level are presented in the top squark and lightest neutralino mass plane within the framework of simplified models. It is found that top squark masses up to 1100 GeV are excluded for a nearly massless neutralino.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Top squark pair production in proton-proton collisions at the LHC, producing pairs of b quarks and taus accompanied with neutrinos and LSPs in the final state.

png pdf
Figure 1-a:
Top squark pair production in proton-proton collisions at the LHC, producing pairs of b quarks and taus accompanied with neutrinos and LSPs in the final state.

png pdf
Figure 1-b:
Top squark pair production in proton-proton collisions at the LHC, producing pairs of b quarks and taus accompanied with neutrinos and LSPs in the final state.

png pdf
Figure 1-c:
Top squark pair production in proton-proton collisions at the LHC, producing pairs of b quarks and taus accompanied with neutrinos and LSPs in the final state.

png pdf
Figure 1-d:
Top squark pair production in proton-proton collisions at the LHC, producing pairs of b quarks and taus accompanied with neutrinos and LSPs in the final state.

png pdf
Figure 2:
Distributions of the search variables ${{p_{\mathrm {T}}} ^\text {miss}}$, ${m_\text {T2}}$, and ${H_{\mathrm {T}}}$ after baseline selections for data and the predicted background. The distributions for a few representative signal points corresponding to $ x = $ 0.5 and [$ m_{\tilde{\mathrm{t}}_{1}} $, $ m_{\tilde{\chi}^0_1} $] = [300, 100] GeV, [500, 350] GeV, and [800, 300] GeV are overlaid.

png pdf
Figure 2-a:
Distribution of the search variable ${{p_{\mathrm {T}}} ^\text {miss}}$ after baseline selections for data and the predicted background. The distributions for a few representative signal points corresponding to $ x = $ 0.5 and [$ m_{\tilde{\mathrm{t}}_{1}} $, $ m_{\tilde{\chi}^0_1} $] = [300, 100] GeV, [500, 350] GeV, and [800, 300] GeV are overlaid.

png pdf
Figure 2-b:
Distribution of the search variable ${m_\text {T2}}$ after baseline selections for data and the predicted background. The distributions for a few representative signal points corresponding to $ x = $ 0.5 and [$ m_{\tilde{\mathrm{t}}_{1}} $, $ m_{\tilde{\chi}^0_1} $] = [300, 100] GeV, [500, 350] GeV, and [800, 300] GeV are overlaid.

png pdf
Figure 2-c:
Distribution of the search variable ${H_{\mathrm {T}}}$ after baseline selections for data and the predicted background. The distributions for a few representative signal points corresponding to $ x = $ 0.5 and [$ m_{\tilde{\mathrm{t}}_{1}} $, $ m_{\tilde{\chi}^0_1} $] = [300, 100] GeV, [500, 350] GeV, and [800, 300] GeV are overlaid.

png pdf
Figure 3:
The 15 search regions defined in bins of ${{p_{\mathrm {T}}} ^\text {miss}}$, ${m_\text {T2}}$, and ${H_{\mathrm {T}}}$.

png pdf
Figure 4:
Plots showing the purities (top), scale-factors (middle), and $ \text {SF}^{e \mu} - \text {SF}^{\mu \mu} $ (bottom) in the different bins of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR for 2016 (left) and 2017 (right) data.

png pdf
Figure 4-a:
Plots showing the purities (top), scale-factors (middle), and $ \text {SF}^{e \mu} - \text {SF}^{\mu \mu} $ (bottom) in the different bins of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR for 2016 data.

png pdf
Figure 4-b:
Plots showing the purities (top), scale-factors (middle), and $ \text {SF}^{e \mu} - \text {SF}^{\mu \mu} $ (bottom) in the different bins of the ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR for 2017 data.

png pdf
Figure 5:
Event yields in the 15 search bins as defined in Figure 3. The yields for a few representative signal points corresponding to $ x = $ 0.5 and [$ m_{\tilde{\mathrm{t}}_{1}} $, $ m_{\tilde{\chi}^0_1} $] = [300, 100] GeV, [500, 350] GeV, and [800, 300] GeV are overlaid.

png pdf
Figure 6:
The exclusion limits at 95% CL for the pair production of the top squark decaying in a di-tau final state are displayed in the $ m_{\tilde{\mathrm{t}}_{1}} \text {-} m_{\tilde{\chi}^0_1} $ plane for $ x = $ 0.25 (top left), 0.5 (top right) and 0.75 (bottom), as described in Equation 1. The black (red) lines represent the observed (expected) limits. The solid lines represent the central values, and the dashed lines the one standard deviation variation due to the theoretical or experimental uncertainties around the central values. The colour shading corresponds to the observed limit on the cross section.

png pdf
Figure 6-a:
The exclusion limits at 95% CL for the pair production of the top squark decaying in a di-tau final state are displayed in the $ m_{\tilde{\mathrm{t}}_{1}} \text {-} m_{\tilde{\chi}^0_1} $ plane for $ x = $ 0.25, as described in Equation 1. The black (red) lines represent the observed (expected) limits. The solid lines represent the central values, and the dashed lines the one standard deviation variation due to the theoretical or experimental uncertainties around the central values. The colour shading corresponds to the observed limit on the cross section.

png pdf
Figure 6-b:
The exclusion limits at 95% CL for the pair production of the top squark decaying in a di-tau final state are displayed in the $ m_{\tilde{\mathrm{t}}_{1}} \text {-} m_{\tilde{\chi}^0_1} $ plane for $ x = $ 0.5, as described in Equation 1. The black (red) lines represent the observed (expected) limits. The solid lines represent the central values, and the dashed lines the one standard deviation variation due to the theoretical or experimental uncertainties around the central values. The colour shading corresponds to the observed limit on the cross section.

png pdf
Figure 6-c:
The exclusion limits at 95% CL for the pair production of the top squark decaying in a di-tau final state are displayed in the $ m_{\tilde{\mathrm{t}}_{1}} \text {-} m_{\tilde{\chi}^0_1} $ plane for $ x = $ 0.75, as described in Equation 1. The black (red) lines represent the observed (expected) limits. The solid lines represent the central values, and the dashed lines the one standard deviation variation due to the theoretical or experimental uncertainties around the central values. The colour shading corresponds to the observed limit on the cross section.
Tables

png pdf
Table 1:
Relative systematic uncertainties from different sources on signal and background yields in 2016 and 2017 combined. These values are the weighted (by the yields in the respective bins) averages of the relative uncertainties in the different search bins. For the asymmetric uncertainties, the upper (lower) entry is the uncertainty due to the upward (downward) variation. The numbers in box brackets in the heading indicate the top squark and LSP masses in GeV, respectively.

png pdf
Table 2:
Event yields along with statistical and systematic uncertainties in 2016 and 2017 combined, for different background sources in the 15 search bins as defined in Figure 3. The notation used here is, $ \text {yield} ^{+\text {stat} +\text {syst}}_{-\text {stat}-\text {syst}} $.
Summary
The signature of top squark pair production in final states with two tau leptons has been explored in data collected by the CMS detector during 2016 and 2017, corresponding to integrated luminosities of 35.9 fb$^{-1}$ and 41.3 fb$^{-1}$, respectively. The search was performed in a final state containing an oppositely charged hadronic tau lepton pair, at least one jet identified as likely to contain a b hadron, and missing transverse momentum. The dominant standard model backgrounds were found to originate from top quark pair production and processes where jets were misidentified as hadronic tau lepton decays. Data driven techniques were followed to estimate these backgrounds, while other backgrounds were estimated using simulations.

No significant excess was observed, and exclusion limits on top squark masses in terms of neutralino masses were set at 95% confidence level, within the framework of simplfied models where the top squark decays via a chargino to final states including tau leptons. In such models, top squark masses have been excluded up to 1100 GeV for an almost massless LSP, and LSP masses up to 450 GeV have been excluded for a top squark mass of 900 GeV. These results are very useful in probing a region of the supersymmetric parameter space corresponding to high $\tan\beta$ and higgsino-like scenarios.
References
1 P. Ramond Dual Theory for Free Fermions PRD3 (1971) 2415--2418
2 \relax Yu. A. Golfand and E. P. Likhtman Extension of the Algebra of Poincare Group Generators and Violation of p Invariance JEPTL 13 (1971) 323--326.[Pisma Zh. Eksp. Teor. Fiz.13,452(1971)]
3 A. Neveu and J. H. Schwarz Factorizable dual model of pions NPB31 (1971) 86--112
4 J. Wess and B. Zumino A Lagrangian Model Invariant Under Supergauge Transformations PL49B (1974) 52
5 P. Fayet Supergauge Invariant Extension of the Higgs Mechanism and a Model for the electron and Its Neutrino NPB90 (1975) 104--124
6 G. 't Hooft Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking NATO Sci. Ser. B 59 (1980) 135--157
7 R. K. Kaul and P. Majumdar Cancellation of Quadratically Divergent Mass Corrections in Globally Supersymmetric Spontaneously Broken Gauge Theories NPB199 (1982) 36
8 H. P. Nilles Supersymmetry, Supergravity and Particle Physics PR 110 (1984) 1--162
9 S. P. Martin A Supersymmetry primer hep-ph/9709356
10 J. R. Ellis, K. Enqvist, D. V. Nanopoulos, and F. Zwirner Observables in Low-Energy Superstring Models MPLA1 (1986) 57
11 R. Barbieri and G. F. Giudice Upper Bounds on Supersymmetric Particle Masses NPB306 (1988) 63--76
12 H. Baer et al. Collider phenomenology for supersymmetry with large tan Beta PRL 79 (1997) 986--989 hep-ph/9704457
13 M. Guchait and D. P. Roy Using $ \tau $ polarization as a distinctive SUGRA signature at LHC PLB541 (2002) 356--361 hep-ph/0205015
14 J. Alwall, P. Schuster, and N. Toro Simplified Models for a First Characterization of New Physics at the LHC PRD79 (2009) 075020 0810.3921
15 LHC New Physics Working Group Collaboration Simplified Models for LHC New Physics Searches JPG39 (2012) 105005 1105.2838
16 CMS Collaboration Search for top squark pair production in pp collisions at $ \sqrt{s}= $ 13 TeV using single lepton events JHEP 10 (2017) 019 CMS-SUS-16-051
1706.04402
17 CMS Collaboration Search for top squarks and dark matter particles in opposite-charge dilepton final states at $ \sqrt{s}= $ 13 TeV PRD97 (2018), no. 3, 032009 CMS-SUS-17-001
1711.00752
18 CMS Collaboration Search for top-squark pair production in the single-lepton final state in pp collisions at $ \sqrt{s} = $ 8 TeV EPJC73 (2013), no. 12 CMS-SUS-13-011
1308.1586
19 CMS Collaboration Search for direct pair production of scalar top quarks in the single- and dilepton channels in proton-proton collisions at $ \sqrt{s}= $ 8 TeV JHEP 07 (2016) 027 CMS-SUS-14-015
1602.03169
20 CMS Collaboration Search for top squark pair production in compressed-mass-spectrum scenarios in proton-proton collisions at $ \sqrt{s} = $ 8 TeV using the $ \alpha_T $ variable PLB767 (2017) 403--430 CMS-SUS-14-006
1605.08993
21 CMS Collaboration Searches for pair production of third-generation squarks in $ \sqrt{s}= $ 13 TeV pp collisions EPJC77 (2017), no. 5, 327 CMS-SUS-16-008
1612.03877
22 CMS Collaboration Search for direct production of supersymmetric partners of the top quark in the all-jets final state in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 10 (2017) 005 CMS-SUS-16-049
1707.03316
23 CMS Collaboration Search for supersymmetry in proton-proton collisions at 13 TeV using identified top quarks PRD97 (2018), no. 1, 012007 CMS-SUS-16-050
1710.11188
24 ATLAS Collaboration Search for direct top squark pair production in final states with two leptons in $ \sqrt{s} = $ 13 TeV pp collisions with the ATLAS detector EPJC77 (2017), no. 12, 898 1708.03247
25 ATLAS Collaboration ATLAS Run 1 searches for direct pair production of third-generation squarks at the Large Hadron Collider EPJC75 (2015), no. 10, 510 1506.08616
26 ATLAS Collaboration Search for top squark pair production in final states with one isolated lepton, jets, and missing transverse momentum in $ \sqrt s = 8 TeV pp $ collisions with the ATLAS detector JHEP 11 (2014) 118 1407.0583
27 ATLAS Collaboration Search for direct top-squark pair production in final states with two leptons in pp collisions at $ \sqrt{s} = $ 8TeV with the ATLAS detector JHEP 06 (2014) 124 1403.4853
28 ATLAS Collaboration Search for top squarks in final states with one isolated lepton, jets, and missing transverse momentum in $ \sqrt{s}=$ 13 TeV pp collisions with the ATLAS detector PRD94 (2016), no. 5, 052009 1606.03903
29 ATLAS Collaboration Search for top squarks decaying to tau sleptons in $ pp $ collisions at $ \sqrt{s}=$ 13 TeV with the atlas detector PRD 98 (Aug, 2018) 032008
30 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
31 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
32 C. Oleari The powheg box Nuclear Physics B - Proceedings Supplements 205-206 (2010) 36 -- 41, . Loops and Legs in Quantum Field Theory
33 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
34 T. Sjostrand, S. Mrenna, and P. Z. Skands PYTHIA 6.4 Physics and Manual JHEP 05 (2006) 026 hep-ph/0603175
35 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements CDS
36 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements CMS-GEN-17-001
1903.12179
37 GEANT4 Collaboration GEANT4: A Simulation toolkit NIMA506 (2003) 250--303
38 W. Beenakker, R. Hopker, M. Spira, and P. M. Zerwas Squark and gluino production at hadron colliders NPB 492 (1997) 51 hep-ph/9610490
39 A. Kulesza and L. Motyka Threshold resummation for squark-antisquark and gluino-pair production at the LHC PRL 102 (2009) 111802 0807.2405
40 A. Kulesza and L. Motyka Soft gluon resummation for the production of gluino-gluino and squark-antisquark pairs at the LHC PRD 80 (2009) 095004 0905.4749
41 W. Beenakker et al. Soft-gluon resummation for squark and gluino hadroproduction JHEP 12 (2009) 041 0909.4418
42 W. Beenakker et al. Squark and gluino hadroproduction Int. J. Mod. Phys. A 26 (2011) 2637 1105.1110
43 A. Giammanco The Fast Simulation of the CMS Experiment J. Phys. Conf. Ser. 513 (2014) 022012
44 CMS Collaboration Particle-flow reconstruction and global event description with the cms detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
45 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_t $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
46 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
47 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
48 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
49 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
50 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
51 M. Cacciari and G. P. Salam Pileup subtraction using jet areas Physics Letters B 659 (2008), no. 1, 119 -- 126
52 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector Submitted to: JINST (2019) CMS-JME-17-001
1903.06078
53 CMS Collaboration Technical proposal for the Phase-II upgrade of the Compact Mon Solenoid CMS-PAS-TDR-15-002 CMS-PAS-TDR-15-002
54 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and v$ _\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV Journal of Instrumentation 13 (Oct, 2018) P10005--P10005
55 C. G. Lester and D. J. Summers Measuring masses of semiinvisibly decaying particles pair produced at hadron colliders PLB463 (1999) 99--103 hep-ph/9906349
56 A. Barr, C. Lester, and P. Stephens m(T2): The Truth behind the glamour JPG29 (2003) 2343--2363 hep-ph/0304226
57 A. J. Barr and C. Gwenlan The Race for supersymmetry: Using m(T2) for discovery PRD80 (2009) 074007 0907.2713
58 CMS Collaboration Search for heavy neutrinos and third-generation leptoquarks in hadronic states of two $ \tau $ leptons and two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 03 (2019) 170 CMS-EXO-17-016
1811.00806
59 CMS Collaboration Search for supersymmetry in events with a $ \tau $ lepton pair and missing transverse momentum in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 11 (2018) 151 CMS-SUS-17-003
1807.02048
60 CMS Collaboration Measurement of the differential Drell-Yan cross section in proton-proton collisions at $ \sqrt{s} = $ 13 TeV Submitted to: JHEP (2018) CMS-SMP-17-001
1812.10529
61 CMS Collaboration Measurements of $ \mathrm{t\overline{t}} $ differential cross sections in proton-proton collisions at $ \sqrt{s}= $ 13 TeV using events containing two leptons JHEP 02 (2019) 149 CMS-TOP-17-014
1811.06625
62 CMS Collaboration Measurement of the WW cross section pp collisions at sqrt(s)=13 TeV CMS-PAS-SMP-16-006 CMS-PAS-SMP-16-006
63 CMS Collaboration Measurement of top quark pair production in association with a Z boson in proton-proton collisions at $ \sqrt{s} = $ 13 TeV CMS-PAS-TOP-18-009 CMS-PAS-TOP-18-009
64 CMS Collaboration Measurement of differential cross sections and charge ratios for t-channel single top quark production at 13 TeV CMS-PAS-TOP-17-023 CMS-PAS-TOP-17-023
65 CMS Collaboration Measurements of the pp $ \to $ WZ inclusive and differential production cross section and constraints on charged anomalous triple gauge couplings at $ \sqrt{s} = $ 13 TeV JHEP 04 (2019) 122 CMS-SMP-18-002
1901.03428
66 CMS Collaboration Measurement of the differential cross sections for the associated production of a $ W $ boson and jets in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRD96 (2017), no. 7, 072005 CMS-SMP-16-005
1707.05979
67 T. Junk Confidence level computation for combining searches with small statistics Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 434 (1999), no. 2, 435 -- 443
68 A. L. Read Presentation of search results: the CLs technique Journal of Physics G: Nuclear and Particle Physics 28 (sep, 2002) 2693--2704
69 The ATLAS Collaboration, The CMS Collaboration, The LHC Higgs Combination Group Collaboration Procedure for the LHC Higgs boson search combination in Summer 2011
70 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC71 (2011) 1554 1007.1727
Compact Muon Solenoid
LHC, CERN