CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-EXO-21-010 ; CERN-EP-2022-103
Search for resonant and nonresonant production of pairs of dijet resonances in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 07 (2023) 161
Abstract: A search for pairs of dijet resonances with the same mass is conducted in final states with at least four jets. Results are presented separately for the case where the four jet production proceeds via an intermediate resonant state and for nonresonant production. The search uses a data sample corresponding to an integrated luminosity of 138 fb$^{-1}$ collected by the CMS detector in proton-proton collisions at $\sqrt{s} = $ 13 TeV. Model-independent limits, at 95% confidence level, are reported on the production cross section of four-jet and dijet resonances. These first LHC limits on resonant pair production of dijet resonances via high mass intermediate states are applied to a signal model of diquarks that decay into pairs of vector-like quarks, excluding diquark masses below 7.6 TeV for a particular model scenario. There are two events in the tails of the distributions, each with a four-jet mass of 8 TeV and an average dijet mass of 2 TeV, resulting in local and global significances of 3.9 and 1.6 standard deviations, respectively, if interpreted as a signal. The nonresonant search excludes pair production of top squarks with masses between 0.50 TeV to 0.77 TeV, with the exception of a small interval between 0.52 and 0.58 TeV, for supersymmetric $R$-parity-violating decays to quark pairs, significantly extending previous limits. Here, the most significant excess above the predicted background occurs at an average dijet mass of 0.95 TeV, for which the local and global significances are 3.6 and 2.5 standard deviations, respectively.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
(Left) Resonant production via a particle, Y, of pairs of dijet resonances, X. (Right) Nonresonant production of pairs of dijet resonances.

png pdf
Figure 1-a:
(Left) Resonant production via a particle, Y, of pairs of dijet resonances, X. (Right) Nonresonant production of pairs of dijet resonances.

png pdf
Figure 1-b:
(Left) Resonant production via a particle, Y, of pairs of dijet resonances, X. (Right) Nonresonant production of pairs of dijet resonances.

png pdf
Figure 2:
Numbers of events observed (color scale) within bins of the four-jet mass and the average mass of the two dijets. The dotted and dashed curves show the 68% and 95% probability contours, respectively, from a signal simulation of a diquark with a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

png pdf
Figure 3:
(Left) Numbers of events observed (color scale) within bins of the four-jet mass and the ratio $\alpha $, which is the average mass of the two dijets divided by the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV. Both plots also show the thirteen $\alpha $ bins used to define the four-jet mass distributions used in the resonant search (dashed lines).

png pdf
Figure 3-a:
(Left) Numbers of events observed (color scale) within bins of the four-jet mass and the ratio $\alpha $, which is the average mass of the two dijets divided by the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV. Both plots also show the thirteen $\alpha $ bins used to define the four-jet mass distributions used in the resonant search (dashed lines).

png pdf
Figure 3-b:
(Left) Numbers of events observed (color scale) within bins of the four-jet mass and the ratio $\alpha $, which is the average mass of the two dijets divided by the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV. Both plots also show the thirteen $\alpha $ bins used to define the four-jet mass distributions used in the resonant search (dashed lines).

png pdf
Figure 4:
(Left) Numbers of events observed (color scale) within bins of the average mass of the two dijets and the ratio $\alpha $ of that mass to the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of the production and $R$-parity violating decay of a pair of top squarks with a mass of 2 TeV. Both plots also show the three $\alpha $ bins used to define the average dijet mass distributions in the nonresonant search (dashed lines).

png pdf
Figure 4-a:
(Left) Numbers of events observed (color scale) within bins of the average mass of the two dijets and the ratio $\alpha $ of that mass to the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of the production and $R$-parity violating decay of a pair of top squarks with a mass of 2 TeV. Both plots also show the three $\alpha $ bins used to define the average dijet mass distributions in the nonresonant search (dashed lines).

png pdf
Figure 4-b:
(Left) Numbers of events observed (color scale) within bins of the average mass of the two dijets and the ratio $\alpha $ of that mass to the four-jet mass. (Right) Number of events predicted in the same bins by a simulation of the production and $R$-parity violating decay of a pair of top squarks with a mass of 2 TeV. Both plots also show the three $\alpha $ bins used to define the average dijet mass distributions in the nonresonant search (dashed lines).

png pdf
Figure 5:
Signal differential distributions for the resonant search (left) as functions of four-jet mass, and the nonresonant search (right) as functions of the average mass of the two dijets, for various resonance masses, and for the alpha bins with the largest signal yield in each search. The integral of each distribution has been normalized to unity.

png pdf
Figure 5-a:
Signal differential distributions for the resonant search (left) as functions of four-jet mass, and the nonresonant search (right) as functions of the average mass of the two dijets, for various resonance masses, and for the alpha bins with the largest signal yield in each search. The integral of each distribution has been normalized to unity.

png pdf
Figure 5-b:
Signal differential distributions for the resonant search (left) as functions of four-jet mass, and the nonresonant search (right) as functions of the average mass of the two dijets, for various resonance masses, and for the alpha bins with the largest signal yield in each search. The integral of each distribution has been normalized to unity.

png pdf
Figure 6:
The products of acceptance and efficiency of a resonant signal vs. the diquark mass (left), and a nonresonant signal vs. the top squark mass (right), inclusively, i.e., for all $\alpha $ values, and for the three $\alpha $ bins that contain the majority ($\geq $85%) of the signal. The case when the efficiency of the mass selection is unity is also shown as a solid line.

png pdf
Figure 6-a:
The products of acceptance and efficiency of a resonant signal vs. the diquark mass (left), and a nonresonant signal vs. the top squark mass (right), inclusively, i.e., for all $\alpha $ values, and for the three $\alpha $ bins that contain the majority ($\geq $85%) of the signal. The case when the efficiency of the mass selection is unity is also shown as a solid line.

png pdf
Figure 6-b:
The products of acceptance and efficiency of a resonant signal vs. the diquark mass (left), and a nonresonant signal vs. the top squark mass (right), inclusively, i.e., for all $\alpha $ values, and for the three $\alpha $ bins that contain the majority ($\geq $85%) of the signal. The case when the efficiency of the mass selection is unity is also shown as a solid line.

png pdf
Figure 7:
The four-jet mass distributions of the data (points), within three of the thirteen $\alpha $ bins of the resonant search, compared with the simulated LO QCD background distribution (green histogram) and fitted with three functions: a power-law times an exponential (red dotted), the dijet function (red dashed), and the modified dijet function (red solid), each function with three free parameters. Examples of predicted diquark signals are shown, with cross sections equal to the observed upper limits at 95% confidence level, for resonance masses of 2.0 (blue dotted), 5.0 (blue dashed), and 8.6 TeV (blue solid). The lower panels show the pulls from the fit of the modified dijet function to the data, calculated using the statistical uncertainty of the data.

png pdf
Figure 8:
The pulls from the fit of the modified dijet function to the four-jet mass distribution, and the reduced chi-squared of the fit $\chi ^2$/NDF, for all thirteen $\alpha $ bins of the resonant search. See Fig. 7 for the distributions and fits for the 0.22 $ < \alpha < $ 0.24, 0.24 $ < \alpha < $ 0.26 and 0.26 $ < \alpha < $ 0.28 bins. The pulls are calculated using the statistical uncertainty of the data.

png pdf
Figure 9:
The average dijet mass distributions for the data (points), within the three $\alpha $ bins of the nonresonant search, compared with LO QCD (green histogram) and fitted with three functions: a power-law times an exponential (red dotted), the dijet function (red dashed), and the modified dijet function (red solid), each function with three free parameters. Examples of predicted top squark pair production signals are shown, with cross sections equal to the expected SUSY cross sections, for top squark masses of 0.6 (blue solid), 1.0 (blue dotted), and 2.0 TeV (blue dashed). The lower panels show the pulls from the fit of the modified dijet function to the dijet mass distribution, calculated using the statistical uncertainty of the data, the aforementioned signals, and the goodness of fit measure $\chi ^2$/NDF, for all three $\alpha $ bins of the nonresonant search.

png pdf
Figure 10:
The observed 95% CL upper limits (black lines with points) on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances decaying to a quark-gluon pair, with the values of $\alpha _{\mathrm {true}} = M(\mathrm{X})/M(\mathrm{Y}) $ shown. The corresponding expected limits (dashed lines) and their variations at the 1 and 2 standard deviation levels (shaded bands) are also shown. Limits are compared to predictions for a scalar diquark [22] (dot-dashed line) with couplings to pairs of up quarks, $y_{uu}=$ 0.4, and to pairs of vector-like quarks, $y_{\chi}=$ 0.6.

png pdf
Figure 11:
The observed 95% CL upper limits (black lines with points) on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances decaying to a quark-gluon pair, with $\alpha _{\mathrm {true}}=M(\mathrm{X})/M(\mathrm{Y})=$ 0.25. The corresponding expected limits (dashed lines) and their variations at the 1 and 2 standard deviation levels (shaded bands) are also shown. Limits are compared to predictions for a scalar diquark [22] (dot-dashed line) with couplings to pairs of up quarks, $y_{uu}=$ 0.4, and to pairs of vector-like quarks, $y_{\chi}=$ 0.6.

png pdf
Figure 12:
The observed 95% CL upper limits (black lines with points) on the product of the cross section, branching fraction, and acceptance for the nonresonant production of top squark pairs in the RPV SUSY decay scenario. The corresponding expected limits (dashed lines) and their variations at the 1 and 2 standard deviation levels (shaded bands) are also shown. Limits are compared to the top squark model cross section (dot dashed lines).

png pdf
Figure 13:
Observed $p$-values (points) for nonresonant production of a paired dijet resonance, X. The vertical scales indicate the local $p$-value (left axis) and the global $p$-value (right axis in blue) for a signal over all $\alpha $ bins. Also shown are corresponding levels of local significance (dashed) and global significance (blue dashed) in units of standard deviation ($\sigma $).

png pdf
Figure 14:
Observed $p$-values (points) for a four-jet resonance, Y, decaying to a pair of dijet resonances, X, with $\alpha _\textrm {true} = M(\mathrm{X})/M(\mathrm{Y}) = $ 0.25. The vertical scales indicate the local $p$-value (left axis) and the global $p$-value (right axis in blue) for a signal over all $\alpha $ bins. Also shown are corresponding levels of local significance (dashed) and global significance (blue dashed) in units of standard deviation ($\sigma $).

png pdf
Figure 15:
The four-jet mass distributions of the data (points) for all $\alpha $ bins together. The data are compared with an LO QCD prediction of jet production from {pythia} 8 (green histogram) and fitted with three functions: a power-law times an exponential (red dotted), the dijet function (red dashed), and the modified dijet function (red solid), each function has five free parameters. Examples of predicted diquark signals, with cross sections equal to the observed upper limits at 95% CL, are shown for resonance masses of 2.0 (blue dotted), 5.0 (blue dashed), and 8.6 TeV (blue solid). The lower panel shows the pulls from the fit of the modified dijet function to the data.

png pdf
Figure 16:
Three-dimensional display of the event with the highest four-jet mass of 8.0 TeV. The display shows the energy deposited in the electromagnetic (red) and hadronic (blue) calorimeters and the reconstructed tracks of charged particles (green). The grouping of the four observed jets into two dijet pairs (purple box) is discussed in the text.

png pdf
Figure 17:
Three-dimensional display of the event with the second-highest four-jet mass of 7.9 TeV. The display shows the energy deposited in the electromagnetic (red) and hadronic (blue) calorimeters and the reconstructed tracks of charged particles (green). The grouping of the four observed jets into two dijet pairs (purple box) is discussed in the text.
Summary
A search for paired dijet resonances has been presented in final states with at least four jets, probing dijet masses above 0.35 TeV and four-jet masses above 1.6 TeV. Data from proton-proton collisions at $\sqrt{s} = $ 13 TeV were used in this search, collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 138 fb$^{-1}$.

For the first time, a search for resonant production of pairs of dijet resonances, where a massive intermediate state leads to a four-jet resonance in the final state, has been performed. A search for pairs of equal mass dijet resonances produced by a nonresonant process has also been conducted. Empirical functions that model the background, and simulated shapes of resonance signals, are fit to the observed four-jet and dijet mass distributions. There are two events in the tails of the distributions, with a four-jet mass of 8 TeV and an average dijet mass of 2 TeV. They result in a local significance of 3.9 standard deviations and a global significance of 1.6 standard deviations, when interpreted as a signal of a four-jet resonance with mass 8.6 TeV and a dijet resonance with mass 2.15 TeV. More data are needed to establish if these events are the first hints of a signal, and LHC data with the highest possible collision energy would be very effective.

Model-independent upper limits at 95% confidence level (CL) are presented on the production cross section times branching fraction and acceptance. For resonant production, the limits are presented as a function of the four-jet resonance mass between 2 and 9 TeV, for all accessible values of the ratio of the dijet to four-jet resonance masses. For nonresonant production, the limits are presented as functions of dijet resonance mass between 0.5 and 3.0 TeV.

Limits from the resonant search are compared to a model [22] of diquarks, which decay to pairs of vector-like quarks, which in-turn decay to a quark and a gluon. Mass limits for all accessible values of the ratio of the vector-like quark to diquark masses, for a benchmark scenario where the diquark couplings to pairs of up quarks is 0.4, and the diquark couplings to pairs of vector-like quarks is 0.6 are presented. In particular, when the ratio of the vector-like quark to diquark mass is chosen to be 0.25, motivated by the two observed events discussed above, diquarks with a mass less than 7.6 TeV (observed) and 7.8 TeV (expected) are excluded at 95% CL.

Limits from the nonresonant search are compared to a model [23] of $R$-parity-violating supersymmetry, with pair produced top squarks decaying to down and strange quarks. Top squarks with masses between 0.50 TeV to 0.77 TeV are excluded at 95% CL, with the exception of a small interval between 0.52 and 0.58 TeV, compared with an exclusion of less than 0.67 TeV (expected), significantly extending the previous observed limit of 0.52 TeV [21]. In this case, the most significant signal hypothesis occurs at an average dijet mass of 0.95 TeV, for which the local and global significances are 3.6 and 2.5 standard deviations, respectively.
References
1 CMS Collaboration Search for high mass dijet resonances with a new background prediction method in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 05 (2020) 033 CMS-EXO-19-012
1911.03947
2 ATLAS Collaboration Search for new resonances in mass distributions of jet pairs using 139 fb$ ^{-1} $ of pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector JHEP 03 (2020) 145 1910.08447
3 CMS Collaboration Search for narrow and broad dijet resonances in proton-proton collisions at $ \sqrt{s}= $ 13 TeV and constraints on dark matter mediators and other new particles JHEP 08 (2018) 130 CMS-EXO-16-056
1806.00843
4 ATLAS Collaboration Search for new phenomena in dijet events using 37 fb$ ^{-1} $ of pp collision data collected at $ \sqrt{s}= $ 13 TeV with the ATLAS detector PRD 96 (2017) 052004 1703.09127
5 CMS Collaboration Search for dijet resonances in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and constraints on dark matter and other models PLB 769 (2017) 520 CMS-EXO-16-032
1611.03568
6 CMS Collaboration Search for narrow resonances decaying to dijets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRL 116 (2016) 071801 CMS-EXO-15-001
1512.01224
7 ATLAS Collaboration Search for new phenomena in dijet mass and angular distributions from pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector PLB 754 (2016) 302 1512.01530
8 CMS Collaboration Search for narrow resonances in dijet final states at $ \sqrt{s}= $ 8 TeV with the novel CMS technique of data scouting PRL 117 (2016) 031802 CMS-EXO-14-005
1604.08907
9 CMS Collaboration Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at $ \sqrt{s} = $ 8 TeV PRD 91 (2015) 052009 CMS-EXO-12-059
1501.04198
10 ATLAS Collaboration Search for new phenomena in the dijet mass distribution using pp collision data at $ \sqrt{s}= $ 8 TeV with the ATLAS detector PRD 91 (2015) 052007 1407.1376
11 CMS Collaboration Search for narrow resonances using the dijet mass spectrum in pp collisions at $ \sqrt{s} = $ 8 TeV PRD 87 (2013) 114015 CMS-EXO-12-016
1302.4794
12 CMS Collaboration Search for narrow resonances and quantum black holes in inclusive and b-tagged dijet mass spectra from pp collisions at $ \sqrt{s}= $ 7 TeV JHEP 01 (2013) 013 CMS-EXO-11-094
1210.2387
13 ATLAS Collaboration Search for new physics in the dijet mass distribution using 1 fb$ ^{-1} $ of pp collision data at $ \sqrt{s} = $ 7 TeV collected by the ATLAS detector PLB 708 (2012) 37 1108.6311
14 ATLAS Collaboration ATLAS search for new phenomena in dijet mass and angular distributions using pp collisions at $ \sqrt{s}= $ 7 TeV JHEP 01 (2013) 029 1210.1718
15 CMS Collaboration Search for resonances in the dijet mass spectrum from 7 TeV pp collisions at CMS PLB 704 (2011) 123 CMS-EXO-11-015
1107.4771
16 ATLAS Collaboration Search for new physics in dijet mass and angular distributions in pp collisions at $ \sqrt{s} = $ 7 TeV measured with the ATLAS detector New J. Phys. 13 (2011) 053044 1103.3864
17 CMS Collaboration Search for dijet resonances in 7 TeV pp collisions at CMS PRL 105 (2010) 211801 CMS-EXO-10-010
1010.0203
18 ATLAS Collaboration Search for new particles in two-jet final states in 7 TeV proton-proton collisions with the ATLAS detector at the LHC PRL 105 (2010) 161801 1008.2461
19 R. M. Harris and K. Kousouris Searches for dijet resonances at hadron colliders Int. J. Mod. Phys. A 26 (2011) 5005 1110.5302
20 ATLAS Collaboration Dijet resonance search with weak supervision using $ \sqrt{s}=$ 13 TeV pp collisions in the ATLAS detector PRL 125 (2020) 131801 2005.02983
21 CMS Collaboration Search for pair-produced resonances decaying to quark pairs in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRD 98 (2018) 112014 CMS-EXO-17-021
1808.03124
22 B. A. Dobrescu, R. M. Harris, and J. Isaacson Ultraheavy resonances at the LHC: beyond the QCD background 2018 1810.09429
23 R. Barbier et al. R-parity violating supersymmetry PR 420 (2005) 1 hep-ph/0406039
24 CMS Collaboration Search for pair-produced dijet resonances in four-jet final states in pp collisions at $ \sqrt{s} = $ 7 TeV PRL 110 (2013) 141802 CMS-EXO-11-016
1302.0531
25 ATLAS Collaboration Search for pair-produced massive coloured scalars in four-jet final states with the ATLAS detector in proton-proton collisions at $ \sqrt{s}= $ 7 TeV EPJC 73 (2013) 2263 1210.4826
26 CMS Collaboration Search for pair-produced resonances decaying to jet pairs in proton-proton collisions at $ \sqrt{s} = $ 8 TeV PLB 747 (2015) 98 CMS-EXO-12-052
1412.7706
27 ATLAS Collaboration A search for top squarks with R-parity-violating decays to all-hadronic final states with the ATLAS detector in $ \sqrt{s} = $ 8 TeV proton-proton collisions JHEP 06 (2016) 067 1601.07453
28 ATLAS Collaboration A search for pair-produced resonances in four-jet final states at $ \sqrt{s} = $ 13 TeV with the ATLAS detector EPJC 78 (2018) 250 1710.07171
29 Y. Bai and B. A. Dobrescu Heavy octets and tevatron signals with three or four b jets JHEP 07 (2011) 100 1012.5814
30 C. Kilic, S. Schumann, and M. Son Searching for multijet resonances at the LHC JHEP 04 (2009) 128 0810.5542
31 C. Kilic, T. Okui, and R. Sundrum Colored resonances at the Tevatron: phenomenology and discovery potential in multijets JHEP 07 (2008) 038 0802.2568
32 K. Agashe, M. Ekhterachian, D. Kim, and D. Sathyan LHC Signals for KK Graviton from an Extended Warped Extra Dimension JHEP 11 (2020) 109 2008.06480
33 CMS Collaboration HEPData record for this analysis link
34 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
35 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
36 P. Skands, S. Carrazza, and J. Rojo Tuning PYTHIA 8.1: the Monash 2013 tune EPJC 74 (2014) 3024 1404.5630
37 NNPDF Collaboration Parton distributions with LHC data NPB 867 (2013) 244 1207.1303
38 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
39 J. A. Evans and Y. Kats LHC coverage of RPV MSSM with light stops JHEP 04 (2013) 028 1209.0764
40 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
41 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
42 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
43 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying event measurements EPJC 80 (2020) 4
44 GEANT4 Collaboration Geant4 --- a simulation toolkit NIM A 506 (2003) 250
45 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
46 M. Cacciari and G. P. Salam Dispelling the $ N^{3} $ myth for the $ k_\mathrm{t} $ jet-finder PLB 641 (2006) 57 hep-ph/0512210
47 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
48 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
49 CMS Collaboration Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid CMS-PAS-TDR-15-002 CMS-PAS-TDR-15-002
50 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
51 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
52 CMS Collaboration Jet algorithms performance in 13 TeV data CMS-PAS-JME-16-003 CMS-PAS-JME-16-003
53 CDF Collaboration Search for new particles decaying into dijets in proton-antiproton collisions at $ \sqrt{s} = $ 1.96 TeV PRD 79 (2009) 112002 0812.4036
54 E. Gross and O. Vitells Trial factors for the look elsewhere effect in high energy physics EPJC 70 (2010) 525
55 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS EPJC 81 (2021) 880 CMS-LUM-17-003
2104.01927
56 CMS Collaboration CMS luminosity measurements for the 2017 data-taking period CMS-PAS-LUM-17-004 CMS-PAS-LUM-17-004
57 CMS Collaboration CMS luminosity measurements for the 2018 data-taking period CMS-PAS-LUM-18-002 CMS-PAS-LUM-18-002
58 P. D. Dauncey, M. Kenzie, N. Wardle, and G. J. Davies Handling uncertainties in background shapes: the discrete profiling method JINST 10 (2015) P04015 1408.6865
59 T. Junk Confidence level computation for combining searches with small statistics Nucl. Instr. Meth. A 434 (1999) 435 hep-ex/9902006
60 A. L. Read Presentation of search results: the $ CL_s $ technique JPG 28 (2002) 2693
61 ATLAS and CMS Collaborations, and LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in summer 2011 CMS-NOTE-2011-005
62 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554, .[Erratum: \DOI10.1140/epjc/s10052-013-2501-z]
63 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
64 W. Beenakker et al. NLO+NLL squark and gluino production cross-sections with threshold-improved parton distributions EPJC 76 (2016) 53 1510.00375
Compact Muon Solenoid
LHC, CERN