Searches for physics beyond the standard model with the $M_\mathrm{T2}$ variable in hadronic final states with and without disappearing tracks in proton-proton collisions at $\sqrt{s}=$ 13 TeV

The CMS collaboration
Eur.Phys.J.C 80 (2020) 3, 2020.

Abstract (data abstract)
Two related searches for phenomena beyond the standard model (BSM) are performed using events with hadronic jets and significant transverse momentum imbalance. The results are based on a sample of proton-proton collisions at a center-of-mass energy of 13 TeV, collected by the CMS experiment at the LHC in 2016--2018 and corresponding to an integrated luminosity of 137 fb$^{-1}$. The first search is inclusive, based on signal regions defined by the hadronic energy in the event, the jet multiplicity, the number of jets identified as originating from bottom quarks, and the value of the kinematic variable $M_\mathrm{T2}$ for events with at least two jets. For events with exactly one jet, the transverse momentum of the jet is used instead. The second search looks in addition for disappearing tracks produced by BSM long-lived charged particles that decay within the volume of the tracking detector. No excess event yield is observed above the predicted standard model background. This is used to constrain a range of BSM models that predict the following: the pair production of gluinos and squarks in the context of supersymmetry models conserving $R$-parity, with or without intermediate long-lived charginos produced in the decay chain; the resonant production of a colored scalar state decaying to a massive Dirac fermion and a quark; or the pair production of scalar and vector leptoquarks each decaying to a neutrino and a top, bottom, or light-flavor quark. In most of the cases, the results obtained are the most stringent constraints to date.

  • Table 6 (SSRs)

    Table 6

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    Definitions of super signal regions, along with predictions, observed data, and the observed 95% CL upper limits on the number...

  • Figure 11 (T1qqqq)

    Figure 11 (upper)

    10.17182/hepdata.90834.v1/t2

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks ($\tilde{g}\to q\bar{q}\tilde{\chi}_1^0$). Signal...

  • Figure 11 (T5qqqqVV)

    Figure 11 (lower left)

    10.17182/hepdata.90834.v1/t3

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and either a...

  • Figure 11 (T5qqqqWW)

    Figure 11 (lower right)

    10.17182/hepdata.90834.v1/t4

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and a $\tilde{\chi}_1^\pm$...

  • Figure 12 (T1bbbb)

    Figure 12 (left)

    10.17182/hepdata.90834.v1/t5

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to bottom quarks ($\tilde{g}\to b\bar{b}\tilde{\chi}_1^0$). Signal...

  • Figure 12 (T1tttt)

    Figure 12 (right)

    10.17182/hepdata.90834.v1/t6

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to top quarks ($\tilde{g}\to t\bar{t}\tilde{\chi}_1^0$). Signal...

  • Figure 13 (T2qq)

    Figure 13 (upper left)

    10.17182/hepdata.90834.v1/t7

    Exclusion limits at 95% CL for light-flavor squark pair production, where the squarks decay to $q\tilde{\chi}_1^0$. Signal cross sections are...

  • Figure 13 (T2bb)

    Figure 13 (upper right)

    10.17182/hepdata.90834.v1/t8

    Exclusion limits at 95% CL for bottom squark pair production, where the squarks decay to $b\tilde{\chi}_1^0$. Signal cross sections are...

  • Figure 13 (T2tt)

    Figure 13 (lower)

    10.17182/hepdata.90834.v1/t9

    Exclusion limits at 95% CL for top squark pair production, where the squarks decay to $t\tilde{\chi}_1^0$. Signal cross sections are...

  • Figure 14 (T2bW)

    Figure 14 (upper left)

    10.17182/hepdata.90834.v1/t10

    Exclusion limits at 95% CL for top squark pair production, where the squarks decay to $b\tilde{\chi}_1^\pm$ and the $\tilde{\chi}_1^0$ decay...

  • Figure 14 (T2bt)

    Figure 14 (upper right)

    10.17182/hepdata.90834.v1/t11

    Exclusion limits at 95% CL for top squark pair production, where the squarks decay either to $b\tilde{\chi}_1^\pm\to bW^\pm\tilde{\chi}_1^0$ or to...

  • Figure 14 (T2cc)

    Figure 14 (lower)

    10.17182/hepdata.90834.v1/t12

    Exclusion limits at 95% CL for top squark pair production, where the squarks decay to $c\tilde{\chi}_1^0$. Signal cross sections are...

  • Figure 15 (mono-$\phi$)

    Figure 15

    10.17182/hepdata.90834.v1/t13

    Exclusion limits at 95% CL for the mono-$\phi$ model, in which a resonantly-produced colored scalar decays to a massive Dirac...

  • Figure 16 ($\mathrm{LQ}\to\mathrm{q}\nu$)

    Figure 16 (upper left)

    10.17182/hepdata.90834.v1/t14

    Cross section limits for $\mathrm{LQ}\to\mathrm{q}\nu$, where $q=u,\,d,\,s,\,\mathrm{or}\,c$. Limits are at the 95% confidence level. Theory cross sections are LO for...

  • Figure 16 ($\mathrm{LQ}\to\mathrm{b}\nu$)

    Figure 16 (upper right)

    10.17182/hepdata.90834.v1/t15

    Cross section limits for $\mathrm{LQ}\to\mathrm{b}\nu$. Limits are at the 95% confidence level. Theory cross sections are LO for vector LQ,...

  • Figure 16 ($\mathrm{LQ}\to\mathrm{t}\nu$)

    Figure 16 (lower)

    10.17182/hepdata.90834.v1/t16

    Cross section limits for $\mathrm{LQ}\to\mathrm{t}\nu$. Limits are at the 95% confidence level. Theory cross sections are LO for vector LQ,...

  • Table 12

    Table 12 in Appendix B.1, or Figure 5 (upper, left side)

    10.17182/hepdata.90834.v1/t17

    Predictions and observations for monojet signal regions

  • Table 13

    Table 13 in Appendix B.1, or Figure 23 (upper)

    10.17182/hepdata.90834.v1/t18

    Predictions and observations for signal regions with $250 \leq H_\mathrm{T} < 450$ GeV

  • Table 14

    Table 14 in Appendix B.1, or Figure 23 (lower)

    10.17182/hepdata.90834.v1/t19

    Predictions and observations for signal regions with $450 \leq H_\mathrm{T} < 575$ GeV and $N_\mathrm{j}<7$

  • Table 15

    Table 15 in Appendix B.1, or Figure 23 (lower)

    10.17182/hepdata.90834.v1/t20

    Predictions and observations for signal regions with $450 \leq H_\mathrm{T} < 575$ GeV and $N_\mathrm{j}\geq7$

  • Table 16

    Table 16 in Appendix B.1, or Figure 5 (lower)

    10.17182/hepdata.90834.v1/t21

    Predictions and observations for signal regions with $575 \leq H_\mathrm{T} < 1200$ GeV and $N_\mathrm{j}^\mathrm{hi}<4$

  • Table 17

    Table 17 in Appendix B.1, or Figure 5 (lower)

    10.17182/hepdata.90834.v1/t22

    Predictions and observations for signal regions with $575 \leq H_\mathrm{T} < 1200$ GeV and $4\leq N_\mathrm{j}^\mathrm{hi}<7$

  • Table 18

    Table 18 in Appendix B.1, or Figure 5 (lower)

    10.17182/hepdata.90834.v1/t23

    Predictions and observations for signal regions with $575 \leq H_\mathrm{T} < 1200$ GeV and $N_\mathrm{j}\geq7$

  • Table 19

    Table 19 in Appendix B.1, or Figure 24 (upper) in Appendix C.1

    10.17182/hepdata.90834.v1/t24

    Predictions and observations for signal regions with $1200 \leq H_\mathrm{T} < 1500$ GeV and $N_\mathrm{j}^\mathrm{hi}<4$

  • Table 20

    Table 20 in Appendix B.1, or Figure 24 (upper) in Appendix C.1

    10.17182/hepdata.90834.v1/t25

    Predictions and observations for signal regions with $1200 \leq H_\mathrm{T} < 1500$ GeV and $4\leq N_\mathrm{j}^\mathrm{hi}<7$

  • Table 21

    Table 21 in Appendix B.1, or Figure 24 (upper) in Appendix C.1

    10.17182/hepdata.90834.v1/t26

    Predictions and observations for signal regions with $1200 \leq H_\mathrm{T} < 1500$ GeV and $N_\mathrm{j}\geq7$

  • Table 22

    Table 22 in Appendix B.1, or Figure 24 (lower) in Appendix C.1

    10.17182/hepdata.90834.v1/t27

    Predictions and observations for signal regions with $H_\mathrm{T} \geq 1500$ GeV and $N_\mathrm{j}<7$

  • Table 23

    Table 23 in Appendix B.1, or Figure 24 (lower) in Appendix C.1

    10.17182/hepdata.90834.v1/t28

    Predictions and observations for signal regions with $H_\mathrm{T} \geq 1500$ GeV and $N_\mathrm{j}\geq7$

  • $M_\mathrm{T2}$ covariance matrix

    Additional Figure 2

    10.17182/hepdata.90834.v1/t29

    Covariance matrix for the 282 signal regions of the inclusive $M_\mathrm{T2}$ search

  • $M_\mathrm{T2}$ correlation matrix

    Additional Figure 1

    10.17182/hepdata.90834.v1/t30

    Correlation matrix for the 282 signal regions of the inclusive $M_\mathrm{T2}$ search

  • $M_\mathrm{T2}$ covariance matrix bin mappings

    Bin definitions for Additional Figures 1 and 2

    10.17182/hepdata.90834.v1/t31

    Bin number definitions for the $M_\mathrm{T2}$ covariance and correlation matrices

  • Figure 17 (T1qqqq 10 cm)

    Figure 17 (upper left)

    10.17182/hepdata.90834.v1/t32

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and either the...

  • Figure 17 (T1qqqq 50 cm)

    Figure 17 (upper right)

    10.17182/hepdata.90834.v1/t33

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and either the...

  • Figure 17 (T1qqqq 200 cm)

    Figure 17 (lower)

    10.17182/hepdata.90834.v1/t34

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and either the...

  • Figure 18 (T2qq 10 cm)

    Figure 18 (upper left)

    10.17182/hepdata.90834.v1/t35

    Exclusion limits at 95% CL for direct light squark pair production, where the squarks decay to light-flavor quarks and either...

  • Figure 18 (T2qq 50 cm)

    Figure 18 (upper right)

    10.17182/hepdata.90834.v1/t36

    Exclusion limits at 95% CL for direct light squark pair production, where the squarks decay to light-flavor quarks and either...

  • Figure 18 (T2qq 200 cm)

    Figure 18 (lower)

    10.17182/hepdata.90834.v1/t37

    Exclusion limits at 95% CL for direct light squark pair production, where the squarks decay to light-flavor quarks and either...

  • Figure 19 (T2bt 10 cm)

    Figure 19 (upper left)

    10.17182/hepdata.90834.v1/t38

    Exclusion limits at 95% CL for direct stop pair production, where the stops decay to either a top and the...

  • Figure 19 (T2bt 50 cm)

    Figure 19 (upper right)

    10.17182/hepdata.90834.v1/t39

    Exclusion limits at 95% CL for direct stop pair production, where the stops decay to either a top and the...

  • Figure 19 (T2bt 200 cm)

    Figure 19 (lower)

    10.17182/hepdata.90834.v1/t40

    Exclusion limits at 95% CL for direct stop pair production, where the stops decay to either a top and the...

  • Figure 20 (T1qqqq Max Chargino Exclusion)

    Figure 20 (upper left)

    10.17182/hepdata.90834.v1/t41

    The maximum chargino mass excluded at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks...

  • Figure 20 (T2qq, one light squark, Max Chargino Exclusion)

    Figure 20 (lower left)

    10.17182/hepdata.90834.v1/t42

    The maximum chargino mass excluded at 95% CL for direct squark pair production, where the squarks decay to light-flavor quarks...

  • Figure 20 (T2qq Max Chargino Exclusion)

    Figure 20 (lower right)

    10.17182/hepdata.90834.v1/t43

    The maximum chargino mass excluded at 95% CL for direct squark pair production, where the squarks decay to light-flavor quarks...

  • Figure 21 (T2bt Max Chargino Exclusion)

    Figure 21

    10.17182/hepdata.90834.v1/t44

    Exclusion limits at 95% CL for direct stop pair production, where the stops decay to either a top and the...

  • Figure 22 (T1qqqq Fixed Masses)

    Figure 22 (upper)

    10.17182/hepdata.90834.v1/t45

    Exclusion limits at 95% CL for direct gluino pair production, where the gluinos decay to light-flavor quarks and either the...

  • Figure 22 (T2qq Fixed Masses)

    Figure 22 (lower left)

    10.17182/hepdata.90834.v1/t46

    Exclusion limits at 95% CL for direct squark pair production, where the squarks decay to light-flavor quarks and either the...

  • Figure 22 (T2bt Fixed Masses)

    Figure 22 (lower right)

    10.17182/hepdata.90834.v1/t47

    Exclusion limits at 95% CL for direct stop pair production, where the stops decay to either a top and the...

  • Table 24

    Table 24 in Appendix B.2

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    Predictions and observations for 2016 disappearing track signal regions

  • Table 25

    Table 25 in Appendix B.2

    10.17182/hepdata.90834.v1/t49

    Predictions and observations for 2017-2018 pixel track signal regions

  • Table 26

    Table 26 in Appendix B.2

    10.17182/hepdata.90834.v1/t50

    Predictions and observations for 2017-2018 medium (M) and long (L) length track signal regions

  • $M_\mathrm{T2}$ disappearing tracks covariance matrix

    Additional Figure 4

    10.17182/hepdata.90834.v1/t51

    Covariance matrix for the 68 signal regions of the disappearing tracks $M_\mathrm{T2}$ search

  • $M_\mathrm{T2}$ disappearing tracks correlation matrix

    Additional Figure 3

    10.17182/hepdata.90834.v1/t52

    Correlation matrix for the 68 signal regions of the disappearing tracks $M_\mathrm{T2}$ search

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