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CMS-EXO-18-003 ; CERN-EP-2021-196
Search for long-lived particles decaying to leptons with large impact parameter in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Eur. Phys. J. C 82 (2022) 153
Abstract: A search for new long-lived particles decaying to leptons using proton-proton collision data produced by the CERN LHC at $\sqrt{s} = $ 13 TeV is presented. Events are selected with two leptons (an electron and a muon, two electrons, or two muons) that both have transverse impact parameter values between 0.01 and 10 cm and are not required to form a common vertex. Data used for the analysis were collected with the CMS detector in 2016, 2017, and 2018, and correspond to an integrated luminosity of 118 (113) fb$^{-1}$ in the ee channel (e$\mu$ and $\mu\mu$ channels). The search is designed to be sensitive to a wide range of models with displaced e$\mu$, ee, and $\mu\mu$ final states. The results constrain several well-motivated models involving new long-lived particles that decay to displaced leptons. For some areas of the available phase space, these are the most stringent constraints to date.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Feynman diagrams for ${\tilde{\mathrm{t}} \to \mathrm{b} \ell}$ (upper left), ${\tilde{\mathrm{t}} \to \mathrm{d} \ell}$ (upper right), $\tilde{\ell} \to \ell \tilde{\mathrm{G}} $ (lower left), and $\mathrm{H} \to \mathrm{S} \mathrm{S} $, $\mathrm{S} \to \ell ^{+}\ell ^{-}$ (lower right).

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Figure 1-a:
Feynman diagram for ${\tilde{\mathrm{t}} \to \mathrm{b} \ell}$.

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Figure 1-b:
Feynman diagram for ${\tilde{\mathrm{t}} \to \mathrm{d} \ell}$.

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Figure 1-c:
Feynman diagram for $\tilde{\ell} \to \ell \tilde{\mathrm{G}} $.

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Figure 1-d:
Feynman diagram for $\mathrm{H} \to \mathrm{S} \mathrm{S} $, $\mathrm{S} \to \ell ^{+}\ell ^{-}$.

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Figure 2:
A diagram of the ABCD method, shown for illustration on simulated background events passing the e$\mu $ preselection with 2018 conditions. In each ${{| d^{\text {a}}_0 |}} - {{| d^{\text {b}}_0 |}}$ bin, the number of events divided by the bin area is plotted. A, B, and C are CRs. SRs I-IV are described in Section 7.2.

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Figure 3:
The number of observed and estimated background events in each channel and SR, with a representative signal overlaid. The lower panel shows the fractional difference between the data and the background. For each background estimate and signal yield, the total uncertainty (statistical plus systematic) is given. The distributions shown are those obtained before the final maximum likelihood fit to the data.

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Figure 4:
The observed 95% CL upper limits on the long-lived top squark production cross section, in the ${c\tau _0}$-mass plane, for the three channels combined. The ${\tilde{\mathrm{t}} \to \mathrm{b} \ell}$ (left) and ${\tilde{\mathrm{t}} \to \mathrm{d} \ell}$ (right) processes are shown. These limits assume either $\mathcal {B}({\tilde{\mathrm{t}} \to \mathrm{d} \ell})$ or $\mathcal {B}({\tilde{\mathrm{t}} \to \mathrm{b} \ell})$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

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Figure 4-a:
The observed 95% CL upper limits on the long-lived top squark production cross section, in the ${c\tau _0}$-mass plane, for the three channels combined. The ${\tilde{\mathrm{t}} \to \mathrm{b} \ell}$ process is shown. These limits assume $\mathcal {B}({\tilde{\mathrm{t}} \to \mathrm{b} \ell})$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

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Figure 4-b:
The observed 95% CL upper limits on the long-lived top squark production cross section, in the ${c\tau _0}$-mass plane, for the three channels combined. The ${\tilde{\mathrm{t}} \to \mathrm{d} \ell}$ process is shown. These limits assume $\mathcal {B}({\tilde{\mathrm{t}} \to \mathrm{d} \ell})$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

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Figure 5:
The 95% CL constraints on the long-lived slepton ${c\tau _0}$ and mass. The $\tilde{\tau}$ and co-NLSP limits are shown for the three channels combined, while the $\tilde{\mathrm{e}}$ and $\tilde{\mu}$ NLSP limits are shown for the ee and $\mu \mu $ channels, respectively. These limits assume that the superpartners of the left- and right-handed leptons are degenerate in mass and $\mathcal {B}(\tilde{\ell} \to \ell \tilde{\mathrm{G}})$ is 100%. The area to the left of the solid curves represents the observed exclusion region, and the dashed lines indicate the expected limits.

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Figure 6:
The 95% CL upper limits on the $\mathrm{H} \to \mathrm{S} \mathrm{S} $, $\mathrm{S} \to \ell ^{+}\ell ^{-}$ branching fraction as a function of ${c\tau _0}$, for a Higgs boson with a mass of 125 GeV and a long-lived scalar with a mass of 30 GeV or 50 GeV, for the three channels combined. These limits assume that $\mathcal {B}(\mathrm{H} \to \mathrm{S} \mathrm{S})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curve represents the observed (expected) exclusion region.
Tables

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Table 1:
The cumulative efficiencies for ${\tilde{\mathrm{t}} \to \mathrm{b} \ell}$ signal events to pass the 2018 inclusive SR selection, for several choices of $\tilde{\mathrm{t}}$ mass (columns) and ${c\tau _0}$ (rows). For each entry, the numerator is the weighted number of events passing the SR selection, and the denominator is the total weighted number of generated signal events. The corrections described in Section 6 are applied.

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Table 2:
Closure test results in data, background simulation, and background simulation with the ${\mathrm{Z} \to \tau \tau}$ events removed in the 100-500 $\mu$m region. The extrapolated ratios of the actual yield to the estimated yield (averaged over the two one-prompt/one-displaced sidebands) and their statistical uncertainties are given. The last row lists the average of the six previous rows.

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Table 3:
Closure test results in data, background simulation, and background simulation with the ${\mathrm{Z} \to \tau \tau}$ events removed in the 500 $\mu$m -10 cm region. The ratios of the actual yield to the estimated yield (averaged over the two one-prompt/one-displaced sidebands) and their statistical uncertainties are given. The last row lists the average of the six previous rows.

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Table 4:
Closure test results in background simulation in the SRs, with the corrections applied. The estimated numbers of events, the actual numbers of events, and their total uncertainties (statistical plus systematic) are given. In cases where the actual number of events is zero, the uncertainty is given by the product of the average background simulation event weight and the upper bound of the 68% confidence level Poisson interval given by a single observation of zero events.

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Table 5:
Systematic uncertainties in the signal efficiency, for all three years and the three channels. For many sources of uncertainty, a range indicating the 68% confidence level of the spread is given. Uncertainties in the same row are treated as correlated among the data-taking years, except for the displaced tracking and pixel detector hit efficiencies for muons, where the 2016 uncertainty is treated as uncorrelated with the 2017 and 2018 uncertainties, as explained in the text.
Summary
A search has been presented for long-lived particles decaying to displaced leptons in proton-proton collisions at $\sqrt{s} = $ 13 TeV at the LHC. With collision data recorded in 2016, 2017, and 2018, and corresponding to an integrated luminosity of 113-118 fb$^{-1}$, no excess above the estimated background has been observed. Exclusion limits have been set at 95% confidence level. Top squarks with masses between 100 and at least 460 GeV have been excluded for 0.01 $ < {c\tau_0} < $ 1000 cm, with a maximum exclusion of 1500 GeV occurring at ${c\tau_0} =$ 2 cm, where ${c\tau_0} $ is the proper decay length. These exclusions assume that 100% of the top squarks decay to a lepton and a d or b quark, where the lepton has an equal probability of being an electron, muon, or tau lepton. The following exclusions assume that the superpartners of the left- and right-handed leptons are mass degenerate. Electron superpartners with masses of at least 50 GeV have been excluded for 0.007 $ < {c\tau_0} < $ 70 cm, with a maximum exclusion of 610 GeV occurring at ${c\tau_0} =$ 0.7 cm. Muon superpartners with masses of at least 50 GeV have been excluded for 0.005 $ < {c\tau_0} < $ 265 cm, with a maximum exclusion of 610 GeV occurring at ${c\tau_0} =$ 3 cm. Tau lepton superpartners with masses of at least 50 GeV have been excluded for 0.015 $ < {c\tau_0} < $ 20 cm, with a maximum exclusion of 405 GeV occurring at ${c\tau_0} =$ 2 cm. In the case that electron, muon, and tau lepton superpartners are mass degenerate, lepton superpartners with masses between 50 and at least 270 GeV have been excluded for 0.005 $ < {c\tau_0} < $ 265 cm, with a maximum exclusion of 680 GeV occurring at ${c\tau_0} =$ 2 cm. For sleptons with ${c\tau_0} < $ 0.8 cm, these are the most sensitive results published to date. For 0.10 $ < {c\tau_0} < $ 12 cm, branching fractions greater than 0.03% have been excluded for 125 GeV Higgs bosons decaying to two long-lived scalar particles, assuming each has a mass of 30 GeV and decays with equal probability to electrons or muons. For scalar particles with 0.1 $ < {c\tau_0} < $ 1000 cm, these are the most sensitive results published to date.
Additional Figures

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Additional Figure 1:
Diagram of a generic signal event, from a transverse view of the interaction point. The black arrows show the lepton $d_0$ vectors.

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Additional Figure 2:
The distribution of electron ${{| d_0 |}}$ for the events in data and signal that pass the e$\mu$ preselection. The last bin includes the overflow. The electron ${{| d_0 |}}$ distributions have a longer tail than those of muons because the muon ${{| d_0 |}}$ values are measured more precisely.

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Additional Figure 3:
The distribution of muon ${{| d_0 |}}$ for the events in data and signal that pass the e$\mu$ preselection. The last bin includes the overflow. The electron ${{| d_0 |}}$ distributions have a longer tail than those of muons because the muon ${{| d_0 |}}$ values are measured more precisely.

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Additional Figure 4:
Two-dimensional distribution of the leading electron vs the leading muon ${{| d_0 |}}$ for the events in data that pass the e$\mu$ preselection. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 5:
Two-dimensional distribution of the leading vs the subleading electron ${{| d_0 |}}$ for the events in data that pass the ee preselection. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 6:
Two-dimensional distribution of the leading vs the subleading muon ${{| d_0 |}}$ for the events in data that pass the $ {{\mu}} {{\mu}}$ preselection. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 7:
Two-dimensional distribution of the leading electron vs the leading muon ${{| d_0 |}}$ for $ {\tilde{\mathrm {t}}} \to {\mathrm {b} \ell}$ signal events with a $ {\tilde{\mathrm {t}}} $ mass of 700 GeV and a proper decay length of 1 cm that pass the e$\mu$ preselection and correspond to 2018 data-taking conditions. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 8:
Two-dimensional distribution of the leading vs the subleading electron ${{| d_0 |}}$ for $ {\tilde{\mathrm {t}}} \to {\mathrm {b} \ell}$ signal events with a $ {\tilde{\mathrm {t}}} $ mass of 700 GeV and a proper decay length of 1 cm that pass the ee preselection and correspond to 2018 data-taking conditions. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 9:
Two-dimensional distribution of the leading vs the subleading muon ${{| d_0 |}}$ for $ {\tilde{\mathrm {t}}} \to {\mathrm {b} \ell}$ signal events with a $ {\tilde{\mathrm {t}}} $ mass of 700 GeV and a proper decay length of 1 cm that pass the $ {{\mu}} {{\mu}}$ preselection and correspond to 2018 data-taking conditions. In each ${{| d_0 |}}$-${{| d_0 |}}$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each ${{| d_0 |}}$ variable shown.

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Additional Figure 10:
The number of observed and estimated background events in each channel and SR in 2016, with a representative signal overlaid. For each background estimate and signal yield, the total uncertainty is given. The distributions shown correspond to the events before the final maximum likelihood fit to the data.

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Additional Figure 11:
The number of observed and estimated background events in each channel and SR in 2017 and 2018, with a representative signal overlaid. For each background estimate and signal yield, the total uncertainty is given. The distributions shown correspond to the events before the final maximum likelihood fit to the data.

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Additional Figure 12:
The 95% $ CL $ upper limits on the long-lived top squark proper decay length ($c\tau _0$) as a function of its mass, for the e$\mu$, ee, and $ {{\mu}} {{\mu}}$ channels, and their combination. The $ {\tilde{\mathrm {t}}} \to {\mathrm {b} \ell}$ process is shown. These limits assume $\mathcal {B}({\tilde{\mathrm {t}}} \to {\mathrm {b}}\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton.

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Additional Figure 13:
The 95% $ CL $ upper limits on the long-lived top squark proper decay length ($c\tau _0$) as a function of its mass, for the e$\mu$, ee, and $ {{\mu}} {{\mu}}$ channels, and their combination. The $ {\tilde{\mathrm {t}}} \to {\mathrm {d}}$ process is shown. These limits assume $\mathcal {B}({\tilde{\mathrm {t}}} \to {\mathrm {d}}\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton.

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Additional Figure 14:
The observed 95% $ CL $ upper limits on the long-lived slepton production cross section, in the $c\tau _0$-mass plane. The co-NLSP limits are shown for the three channels combined. These limits assume that the superpartners of the left- and right-handed leptons are degenerate in mass and $\mathcal {B}(\tilde{\ell} \to \ell {\tilde{{\mathrm {G}}}})$ is 100%. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

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Additional Figure 15:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ as a function of $c\tau _0$, for a 300 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 16:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ as a function of $c\tau _0$, for a 400 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 17:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ as a function of $c\tau _0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 18:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ as a function of $c\tau _0$, for a 800 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 19:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ as a function of $c\tau _0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 20:
The 95% $ CL $ upper limits on the branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 125 GeV Higgs boson and several long-lived scalar masses, for the ee channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two electrons. The area above the solid (dashed) curves represents the observed (expected) exclusion region. The curves are not smooth because very few ee channel events pass the preselection for the Higgs boson and scalar masses shown in this figure.

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Additional Figure 21:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the ee channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two electrons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 22:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the ee channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two electrons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 23:
The 95% $ CL $ upper limits on the branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 125 GeV Higgs boson and several long-lived scalar masses, for the $ {{\mu}} {{\mu}}$ channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 24:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the $ {{\mu}} {{\mu}}$ channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 25:
The 95% $ CL $ upper limits on the product of the cross section and branching fraction $ {\mathrm {H}} \to {{S}} {{S}} \to 4\ell$ as a function of $c\tau _0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the $ {{\mu}} {{\mu}}$ channel only. These limits assume that $\mathcal {B}({\mathrm {H}} \to {{S}} {{S}})=$ 100% and each S has a 100% probability of decaying to two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

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Additional Figure 26:
Display of a simulated signal event with a $ {\tilde{\mathrm {t}}} $ mass of 700 GeV and a proper decay length of 10 cm that resides in the e$\mu$ channel inclusive SR. The muon track is represented by the red line. The electron is represented by the blue line (showing its track) connected to the red wedge (showing its calorimeter energy deposit). The electron with ($\eta $, $\phi $) equal to (0.8, 0.9) has a ${p_{\mathrm {T}}}$ of 673 GeV and a ${{| d_0 |}}$ of 2700 $\mu$m, and the muon with ($\eta $, $\phi $) equal to (0.2, 2.1) has a ${p_{\mathrm {T}}}$ of 160 GeV and a ${{| d_0 |}}$ of 29000 $\mu$m. The scale in the figure frame is given in cm.

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Additional Figure 27:
Zoomed-in display of a simulated signal event with a $ {\tilde{\mathrm {t}}} $ mass of 700 GeV and a proper decay length of 10 cm that resides in the e$\mu$ channel inclusive SR. The muon track is represented by the red line. The muon track is represented by the red line, and the electron track is represented by the blue line. Both tracks are visibly displaced from the interaction point. The electron with ($\eta $, $\phi $) equal to (0.8, 0.9) has a ${p_{\mathrm {T}}}$ of 673 GeV and a ${{| d_0 |}}$ of 2700 $\mu$m, and the muon with ($\eta $, $\phi $) equal to (0.2, 2.1) has a ${p_{\mathrm {T}}}$ of 160 GeV and a ${{| d_0 |}}$ of 29000 $\mu$m. The scale in the figure frame is given in cm.

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Additional Figure 28:
Display of an event in 2018 data that resides in the e$\mu$ channel, SR I, low ${p_{\mathrm {T}}}$ bin. The muon track is represented by the red line. The electron is represented by the blue line (showing its track) connected to the red wedge (showing its calorimeter energy deposit). The electron with ($\eta $, $\phi $) equal to (-0.9, 0.9) has a ${p_{\mathrm {T}}}$ of 118 GeV and a ${{| d_0 |}}$ of 250 $\mu$m, and the muon with ($\eta $, $\phi $) equal to (0.4, -2.0) has a ${p_{\mathrm {T}}}$ of 54 GeV and a ${{| d_0 |}}$ of 160 $\mu$m. The scale in the figure frame is given in cm.

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Additional Figure 29:
Zoomed-in display of an event in 2018 data that resides in the e$\mu$ channel, SR I, low ${p_{\mathrm {T}}}$ bin. The muon track is represented by the red line, and the electron track is represented by the blue line. Both tracks are visibly displaced from the interaction point. The electron with ($\eta $, $\phi $) equal to (-0.9, 0.9) has a ${p_{\mathrm {T}}}$ of 118 GeV and a ${{| d_0 |}}$ of 250 $\mu$m, and the muon with ($\eta $, $\phi $) equal to (0.4, -2.0) has a ${p_{\mathrm {T}}}$ of 54 GeV and a ${{| d_0 |}}$ of 160 $\mu$m. The scale in the figure frame is given in cm.
Additional Tables

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Additional Table 1:
The cumulative efficiencies for $\tilde{\ell} \to \bar{\ell} {\tilde{{\mathrm {G}}}} $ signal events to pass the 2018 inclusive signal region selection, for several choices of mass (columns) and $c\tau $ (rows).

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Additional Table 2:
The cumulative efficiencies for $ {\mathrm {H}} \to {{S}} {{S}} $, ${{S}} \to \ell^{+}\ell^{-}$ signal events to pass the 2018 inclusive signal region selection, for a Higgs mass of 125 GeV and several choices of S mass (columns) and $c\tau $ (rows).
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