CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-EXO-17-015 ; CERN-EP-2018-278
Search for dark matter in events with a leptoquark and missing transverse momentum in proton-proton collisions at 13 TeV
Phys. Lett. B 795 (2019) 76
Abstract: A search is presented for dark matter in proton-proton collisions at a center-of-mass energy of $\sqrt{s} = $ 13 TeV using events with at least one high transverse momentum (${p_{\mathrm{T}}}$) muon, at least one high-${p_{\mathrm{T}}}$ jet, and large missing transverse momentum. The data were collected with the CMS detector at the CERN LHC in 2016 and 2017, and correspond to an integrated luminosity of 77.4 fb$^{-1}$. In the examined scenario, a pair of scalar leptoquarks is assumed to be produced. One leptoquark decays to a muon and a jet while the other decays to dark matter and low-${p_{\mathrm{T}}}$ standard model particles. The signature for signal events would be significant missing transverse momentum from the dark matter in conjunction with a peak at the leptoquark mass in the invariant mass distribution of the highest ${p_{\mathrm{T}}}$ muon and jet. The data are observed to be consistent with the background predicted by the standard model. For the first benchmark scenario considered, dark matter masses up to 500 GeV are excluded for leptoquark masses ${{m_{\mathrm{LQ}}}} \approx$ 1400 GeV, and up to 300 GeV for ${{m_{\mathrm{LQ}}}} \approx$ 1500 GeV. For the second benchmark scenario, dark matter masses up to 600 GeV are excluded for ${{m_{\mathrm{LQ}}}} \approx$ 1400 GeV.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
An example Feynman diagram for the signal process considered in this study, where g is a gluon, LQ a leptoquark, DM a dark matter particle, and X a new Dirac fermion. The superscript "*'' indicates an off-shell particle.

png pdf
Figure 2:
The ${{m_{\mu \mathrm {j}}}}$ distributions in data and simulation for the (left) ${\mathrm{t} {}\mathrm{\bar{t}}} $- and (right) W+jets-enriched control samples for the combined 2016 and 2017 data sets. The respective data-to-simulation normalization scale factors have been applied to the simulated distributions. The lower panels show the ratio of the observed to the simulated results. The vertical error bars on the data points are statistical. The gray band shows the total uncertainty in the background prediction, including both statistical and systematic terms.

png pdf
Figure 2-a:
The ${{m_{\mu \mathrm {j}}}}$ distributions in data and simulation for the ${\mathrm{t} {}\mathrm{\bar{t}}} $-enriched control sample for the combined 2016 and 2017 data sets. The data-to-simulation normalization scale factors have been applied to the simulated distribution. The lower panel shows the ratio of the observed to the simulated results. The vertical error bars on the data points are statistical. The gray band shows the total uncertainty in the background prediction, including both statistical and systematic terms.

png pdf
Figure 2-b:
The ${{m_{\mu \mathrm {j}}}}$ distributions in data and simulation for the W+jets-enriched control sample for the combined 2016 and 2017 data sets. The data-to-simulation normalization scale factors have been applied to the simulated distribution. The lower panel shows the ratio of the observed to the simulated results. The vertical error bars on the data points are statistical. The gray band shows the total uncertainty in the background prediction, including both statistical and systematic terms.

png pdf
Figure 3:
The observed distribution of ${{m_{\mu \mathrm {j}}}}$ in comparison to the post-fit SM background predictions for the combined 2016 and 2017 data sets. "Post-fit'' means that the constraints from the maximum likelihood fit are incorporated. The unstacked predictions for two signal models with $ {{m_{\mathrm {LQ}}}} = $ 1000 GeV and $ {m_{\mathrm {DM}}} = $ 400 GeV are also shown: one with $ {B} =$ 0.5 and the other with $ {B} =$ 0.1. The difference is just an overall relative normalization of about 2 for the latter compared to the former. The ratio of the observed results to the total SM prediction is shown in the lower panel. The vertical error bars on the data points are statistical. The gray band shows the total uncertainty in the background prediction, including both statistical and systematic terms.

png pdf
Figure 4:
Observed 95% CL upper limits on the product of cross section and branching fraction for the signal model of Fig. 1 assuming $B = {\cal {B}}(\mathrm {LQ}\to {\mathrm {c}}\mu /\mathrm{s} \mu ) |_{{m_{\mathrm {DM}}} = {m_{{\mathrm {X}}}} =0} $ to be (left) 0.5 or (right) 0.1. The solid and dashed black curves show the observed and expected 95% CL exclusion curves, taking into account both upper and lower components of the LQ doublet. The solid blue curve shows the observed exclusion limit for the upper component of the LQ doublet, i.e. to a muon and a c quark. The dotted blue curve shows the corresponding observed limits from the recast of the results from a search for pair produced second-generation LQs [23].

png pdf
Figure 4-a:
Observed 95% CL upper limits on the product of cross section and branching fraction for the signal model of Fig. 1 assuming $B = {\cal {B}}(\mathrm {LQ}\to {\mathrm {c}}\mu /\mathrm{s} \mu ) |_{{m_{\mathrm {DM}}} = {m_{{\mathrm {X}}}} =0} $ to be 0.5. The solid and dashed black curves show the observed and expected 95% CL exclusion curves, taking into account both upper and lower components of the LQ doublet. The solid blue curve shows the observed exclusion limit for the upper component of the LQ doublet, i.e. to a muon and a c quark. The dotted blue curve shows the corresponding observed limits from the recast of the results from a search for pair produced second-generation LQs [23].

png pdf
Figure 4-b:
Observed 95% CL upper limits on the product of cross section and branching fraction for the signal model of Fig. 1 assuming $B = {\cal {B}}(\mathrm {LQ}\to {\mathrm {c}}\mu /\mathrm{s} \mu ) |_{{m_{\mathrm {DM}}} = {m_{{\mathrm {X}}}} =0} $ to be 0.1. The solid and dashed black curves show the observed and expected 95% CL exclusion curves, taking into account both upper and lower components of the LQ doublet. The solid blue curve shows the observed exclusion limit for the upper component of the LQ doublet, i.e. to a muon and a c quark. The dotted blue curve shows the corresponding observed limits from the recast of the results from a search for pair produced second-generation LQs [23].
Tables

png pdf
Table 1:
Systematic uncertainties affecting the normalization of signal and background distributions. The PDF uncertainty affects the signal distribution only, while the other uncertainties affect both the signal and background distributions.

png pdf
Table 2:
Observed number of events, post-fit SM background predictions and post-fit uncertainties for the combined 2016 and 2017 data sets. "Electroweak" refers to the sum of expected events from the single top quark, Z boson, and diboson background processes. The predictions for two signal models with $ {{m_{\mathrm {LQ}}}} = $ 1000 GeV and $ {m_{\mathrm {DM}}} = $ 400 GeV are also shown: one with $ {B} =$ 0.5 and the other with $ {B} =$ 0.1. The uncertainties represent the statistical and systematic terms added in quadrature.
Summary
A search has been performed for dark matter in events containing a muon, a jet, and significant missing transverse momentum. The study is conducted using proton-proton collision data at $\sqrt{s} = $ 13 TeV recorded with the CMS detector, corresponding to an integrated luminosity of 77.4 fb$^{-1}$. It is assumed that dark matter is produced through the production of a leptoquark pair, with one leptoquark decaying to a muon and a jet, and the other to dark matter and low-${p_{\mathrm{T}}}$ standard model particles. The analysis is performed by searching for a peak in the leptoquark candidate invariant mass ${{m_{\mu\mathrm{j}}}}$ distribution formed from the highest ${p_{\mathrm{T}}}$ muon and jet in an event, with the requirement of significant missing transverse momentum, as is expected from the presence of dark matter. The observation of such a peak in this novel search would provide strong evidence for the existence of both dark matter particles and leptoquarks. The data are observed to agree with the standard model background predictions within the uncertainties. Upper limits on the product of the cross section and branching fraction are obtained at 95% confidence level as a function of the leptoquark and dark matter particle masses. For the first benchmark scenario considered, dark matter masses up to 500 GeV are excluded for leptoquark masses ${{m_{\mathrm{LQ}}}} \approx$ 1400 GeV, and up to 300 GeV for ${{m_{\mathrm{LQ}}}} \approx$ 1500 GeV. For the second benchmark scenario, dark matter masses up to 600 GeV are excluded for ${{m_{\mathrm{LQ}}}} \approx$ 1400 GeV.
References
1 G. Bertone, D. Hooper, and J. Silk Particle dark matter: Evidence, candidates and constraints PR 405 (2005) 279 hep-ph/0404175
2 J. L. Feng Dark matter candidates from particle physics and methods of detection Ann. Rev. Astron. Astrophys. 48 (2010) 495 1003.0904
3 T. A. Porter, R. P. Johnson, and P. W. Graham Dark matter searches with astroparticle data Ann. Rev. Astron. Astrophys. 49 (2011) 155 1104.2836
4 Particle Data Group, M. Tanabashi et al. Review of particle physics PRD 98 (2018) 030001
5 Planck Collaboration Planck 2015 results. XIII. Cosmological parameters Astron. Astrophys. 594 (2016) A13 1502.01589
6 CMS Collaboration Search for new physics in final states with an energetic jet or a hadronically decaying W or Z boson and transverse momentum imbalance at $ \sqrt{s}= $ 13 TeV PRD 97 (2018) 092005 CMS-EXO-16-048
1712.02345
7 CMS Collaboration Search for new physics in events with a leptonically decaying Z boson and a large transverse momentum imbalance in proton-proton collisions at $ \sqrt{s} = $ 13 TeV EPJC 78 (2018) 291 CMS-EXO-16-052
1711.00431
8 CMS Collaboration Search for new physics in the monophoton final state in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 10 (2017) 073 CMS-EXO-16-039
1706.03794
9 ATLAS Collaboration Search for dark matter at $ \sqrt{s}= $ 13 TeV in final states containing an energetic photon and large missing transverse momentum with the ATLAS detector EPJC 77 (2017) 393 1704.03848
10 ATLAS Collaboration Search for new phenomena in final states with an energetic jet and large missing transverse momentum in $ pp $ collisions at $ \sqrt{s}= $ 13 TeV using the ATLAS detector PRD 94 (2016) 032005 1604.07773
11 ATLAS Collaboration Search for dark matter produced in association with a hadronically decaying vector boson in $ pp $ collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PLB 763 (2016) 251--268 1608.02372
12 ATLAS Collaboration Search for dark matter and other new phenomena in events with an energetic jet and large missing transverse momentum using the ATLAS detector JHEP 01 (2018) 126 1711.03301
13 ATLAS Collaboration Search for dark matter in events with a hadronically decaying vector boson and missing transverse momentum in $ pp $ collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 10 (2018) 180 1807.11471
14 CMS Collaboration Search for dark matter produced in association with a Higgs boson decaying to $ \gamma\gamma $ or $ \tau^+\tau^- $ at $ \sqrt{s} = $ 13 TeV JHEP 09 (2018) 046 CMS-EXO-16-055
1806.04771
15 B. Penning The pursuit of dark matter at colliders--an overview JPG 45 (2018) 063001 1712.01391
16 M. J. Baker et al. The coannihilation codex JHEP 12 (2015) 120 1510.03434
17 J. C. Pati and A. Salam Unified lepton-hadron symmetry and a gauge theory of the basic interactions PRD 8 (1973) 1240
18 J. C. Pati and A. Salam Lepton number as the fourth color PRD 10 (1974) 275, .[Erratum: \DOI10.1103/PhysRevD.11.703.2]
19 H. Georgi and S. L. Glashow Unity of all elementary particle forces PRL 32 (1974) 438
20 H. Fritzsch and P. Minkowski Unified interactions of leptons and hadrons Annals Phys. 93 (1975) 193
21 B. Schrempp and F. Schrempp Light leptoquarks PLB 153 (1985) 101
22 I. Dor\vsner et al. Physics of leptoquarks in precision experiments and at particle colliders PR 641 (2016) 1 1603.04993
23 CMS Collaboration Search for pair production of second-generation leptoquarks at $ \sqrt{s}= $ 13 TeV PRD 99 (2019) 032014 CMS-EXO-17-003
1808.05082
24 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
25 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
26 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
27 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
28 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
29 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
30 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
31 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
32 M. Cacciari and G. P. Salam Pileup subtraction using jet areas PLB 659 (2008) 119 0707.1378
33 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
34 CMS Collaboration Pileup removal algorithms CMS-PAS-JME-14-001 CMS-PAS-JME-14-001
35 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
36 UA1 Collaboration Experimental observation of isolated large transverse energy electrons with associated missing energy at $ \sqrt{s}= $ 540 ~GeV PLB 122 (1983) 103
37 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
38 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
39 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
40 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111 0907.4076
41 E. Re Single-top Wt-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
42 S. Frixione, P. Nason, and G. Ridolfi A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction JHEP 09 (2007) 126 0707.3088
43 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
44 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
45 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
46 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
47 R. Gavin, Y. Li, F. Petriello, and S. Quackenbush FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order CPC 182 (2011) 2388 1011.3540
48 Y. Li and F. Petriello Combining QCD and electroweak corrections to dilepton production in FEWZ PRD 86 (2012) 094034 1208.5967
49 T. Melia, P. Nason, R. Rontsch, and G. Zanderighi W$ ^+ $W$ ^- $, WZ and ZZ production in the POWHEG BOX JHEP 11 (2011) 078 1107.5051
50 M. Kramer, T. Plehn, M. Spira, and P. M. Zerwas Pair production of scalar leptoquarks at the CERN LHC PRD 71 (2005) 057503 hep-ph/0411038
51 M. Kramer, T. Plehn, M. Spira, and P. M. Zerwas Pair production of scalar leptoquarks at the Tevatron PRL 79 (1997) 341 hep-ph/9704322
52 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
53 GEANT4 Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250
54 CMS Collaboration Measurement of the differential cross section for top quark pair production in pp collisions at $ \sqrt{s} = $ 8 TeV EPJC 75 (2015) 542 CMS-TOP-12-028
1505.04480
55 CMS Collaboration Measurement of differential top-quark pair production cross sections in pp collisions at $ \sqrt{s}= $ 7 TeV EPJC 73 (2013) 2339 CMS-TOP-11-013
1211.2220
56 CMS Collaboration Cross section measurement of $ t $-channel single top quark production in pp collisions at $ \sqrt s = $ 13 TeV PLB 772 (2017) 752 CMS-TOP-16-003
1610.00678
57 CMS Collaboration Measurement of differential cross sections for Z boson production in association with jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV EPJC 78 (2018) 965 CMS-SMP-16-015
1804.05252
58 CMS Collaboration Measurement of the inclusive W and Z production cross sections in pp collisions at $ \sqrt{s} = $ 7 TeV with the CMS experiment JHEP 10 (2011) 132 CMS-EWK-10-005
1107.4789
59 CMS Collaboration Performance of tau-lepton reconstruction and identification in CMS JINST 7 (2012) P01001 CMS-TAU-11-001
1109.6034
60 CMS Collaboration Reconstruction and identification of $ \tau $ lepton decays to hadrons and $ \nu_{\tau} $ at CMS JINST 11 (2016) P01019 CMS-TAU-14-001
1510.07488
61 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
62 R. Barlow and C. Beeston Fitting using finite Monte Carlo samples CPC 77 (1993) 219
63 CMS Collaboration CMS luminosity measurements for the 2016 data taking period CMS-PAS-LUM-17-001 CMS-PAS-LUM-17-001
64 CMS Collaboration CMS Luminosity Measurements for the 2017 data-taking Period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-17-004 CMS-PAS-LUM-17-004
65 CMS Collaboration Jet algorithms performance in 13 TeV data CMS-PAS-JME-16-003 CMS-PAS-JME-16-003
66 CMS Collaboration Performance of missing energy reconstruction in 13 TeV pp collision data using the CMS detector CMS-PAS-JME-16-004 CMS-PAS-JME-16-004
67 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
68 T. Junk Confidence level computation for combining searches with small statistics NIMA 434 (1999) 435 hep-ex/9902006
69 A. L. Read Presentation of search results: the $ \rm CL_s $ technique JPG 28 (2002) 2693
70 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
71 The ATLAS Collaboration, The CMS Collaboration, The LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in Summer 2011 CMS-NOTE-2011-005
Compact Muon Solenoid
LHC, CERN