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Feynman diagrams for (left) the HAHM model, showing the production of long-lived dark photons $\PZD$ via the Higgs portal, through $\PSMHiggs$--$\PDarkHiggs$ mixing with the parameter $\kappa$, with subsequent decays to pairs of muons or other fermions via the vector portal; and (right) pair production of squarks followed by $\squarktoqchi$ decays, where the RPV neutralino is assumed to be a long-lived particle that decays into a neutrino and two charged leptons.

Feynman diagrams for (left) the HAHM model, showing the production of long-lived dark photons $\PZD$ via the Higgs portal, through $\PSMHiggs$--$\PDarkHiggs$ mixing with the parameter $\kappa$, with subsequent decays to pairs of muons or other fermions via the vector portal; and (right) pair production of squarks followed by $\squarktoqchi$ decays, where the RPV neutralino is assumed to be a long-lived particle that decays into a neutrino and two charged leptons.

The \pt and \dzero coverage of the 2016 Run~2 triggers (light blue), 2018 Run~2 triggers (blue), and newly designed 2022 Run~3 triggers described in the text (red). The two values of the \pt refer to the trigger thresholds for the muons.

Efficiencies of the various displaced dimuon trigger paths and their combination as a function of $\cTau$ for the HAHM signal events with $\mZD = 20\GeV$. The efficiency is defined as the fraction of simulated events that satisfy the detector acceptance and the requirements of the following sets of trigger paths: the Run~2 (2018) triggers (dashed black); the Run~3 (2022, L3) triggers (blue); the Run~3 (2022, L2) triggers (red); and the OR of all these triggers (Run~3 (2022), black). The lower panel shows the ratio of the overall Run~3 (2022) efficiency to the Run~2 (2018) efficiency.

Distributions of \DeltaPhiAbs for (left) STA-STA and (right) TMS-TMS dimuons in data samples obtained by inverting some of the selection criteria and enriched in DY events (black circles) and for events passing all selection criteria except for a requirement on \DeltaPhiAbs in all HAHM (blue triangles) and RPV SUSY (orange squares) generated signal samples combined. All distributions are normalized to unit area.

Distributions of \DeltaPhiAbs for (left) STA-STA and (right) TMS-TMS dimuons in data samples obtained by inverting some of the selection criteria and enriched in DY events (black circles) and for events passing all selection criteria except for a requirement on \DeltaPhiAbs in all HAHM (blue triangles) and RPV SUSY (orange squares) generated signal samples combined. All distributions are normalized to unit area.

Overall efficiencies in the STA-STA (green) and TMS-TMS (red) dimuon categories, as well as their combination (black) as a function of $\cTau$ for the HAHM signal events with $\mZD=20\GeV$. The solid curves show efficiencies achieved with the 2022 Run 3 triggers, whereas dashed curves show efficiencies for the subset of events selected by the triggers used in the 2018 Run 2 analysis. The efficiency is defined as the fraction of signal events that satisfy the criteria of the indicated trigger as well as the full set of offline selection criteria. The lower panel shows the relative improvement of the overall signal efficiency brought in by improvements in the trigger.

Example of background prediction checks in the STA-STA category: distributions of (left) $\DeltaPhiAbs$ and (right) $\LxySig$ for events with $\mMuMu > 15\GeV$ in the $\LxySig < 6$ validation region in data (black circles) compared to the background predictions (histograms). The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the STA-STA category: distributions of (left) $\DeltaPhiAbs$ and (right) $\LxySig$ for events with $\mMuMu > 15\GeV$ in the $\LxySig < 6$ validation region in data (black circles) compared to the background predictions (histograms). The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the TMS-TMS category: $\LxySig$ distributions for events with (left) $\DeltaPhiAbs < \pi/4 $ and (right) $\DeltaPhiAbs < \pi/30$ in the $2 < \text{min}(\dzeroSig) < 6$ validation regions compared to the background predictions. The number of observed events (black circles) is overlaid with stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. The last bin includes events in the histogram overflow. The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the TMS-TMS category: $\LxySig$ distributions for events with (left) $\DeltaPhiAbs < \pi/4 $ and (right) $\DeltaPhiAbs < \pi/30$ in the $2 < \text{min}(\dzeroSig) < 6$ validation regions compared to the background predictions. The number of observed events (black circles) is overlaid with stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. The last bin includes events in the histogram overflow. The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the STA-STA category: distributions of (left) $\DeltaPhiAbs$ and (right) $\mMuMu$ for dimuons in the low-mass ($6 < \mMuMu < 10 \GeV$) validation region in data (black circles) compared to the background predictions (histograms). The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the STA-STA category: distributions of (left) $\DeltaPhiAbs$ and (right) $\mMuMu$ for dimuons in the low-mass ($6 < \mMuMu < 10 \GeV$) validation region in data (black circles) compared to the background predictions (histograms). The lower panels show the ratio of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the TMS-TMS category: (left) distribution of min($\dzeroSig$) for events in the $\pi/4 < \DeltaPhiAbs < \pi/2$ validation region; (right) distribution of \mMuMu for events in the $2 < \text{min}(\dzeroSig) < 6$ validation region. The number of observed events (black circles) is overlaid with stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. The last bin includes events in the histogram overflow. The lower panels show the ratios of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Example of background prediction checks in the TMS-TMS category: (left) distribution of min($\dzeroSig$) for events in the $\pi/4 < \DeltaPhiAbs < \pi/2$ validation region; (right) distribution of \mMuMu for events in the $2 < \text{min}(\dzeroSig) < 6$ validation region. The number of observed events (black circles) is overlaid with stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. The last bin includes events in the histogram overflow. The lower panels show the ratios of the observed to predicted number of events. Hatched histograms show the statistical uncertainty in the background prediction.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping (left) \mMuMu and (right) \mMuMuCorr intervals in the STA-STA dimuon category, in the signal regions optimized for the (left) HAHM and (right) RPV SUSY model. Yellow and green stacked filled histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping (left) \mMuMu and (right) \mMuMuCorr intervals in the STA-STA dimuon category, in the signal regions optimized for the (left) HAHM and (right) RPV SUSY model. Yellow and green stacked filled histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Distributions of $\text{min}(\dzeroSig)$ for TMS-TMS dimuons with (left) $\DeltaPhiAbs < \pi/30$ and (right) $\DeltaPhiAbs < \pi/4$, for events in all mass intervals combined, for both the validation ($\min(\dzeroSig) < 6$) and signal ($\min(\dzeroSig) > 6$) regions. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. Statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. Events are required to satisfy all nominal selection criteria with the exception of the $\dzeroSig$ requirement. The last bin includes events in the histogram overflow.

Distributions of $\text{min}(\dzeroSig)$ for TMS-TMS dimuons with (left) $\DeltaPhiAbs < \pi/30$ and (right) $\DeltaPhiAbs < \pi/4$, for events in all mass intervals combined, for both the validation ($\min(\dzeroSig) < 6$) and signal ($\min(\dzeroSig) > 6$) regions. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. Statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. Events are required to satisfy all nominal selection criteria with the exception of the $\dzeroSig$ requirement. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in bins of \mMuMuCorr in the TMS-TMS dimuon category, in the signal regions optimized for the RPV SUSY model. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $\mMuMuCorr$ in three min($\dzeroSig$) bins: (left) 6--10, (center) 10--20, and (right) ${>}20$. Hatched histograms show statistical uncertainties in the total expected background. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in bins of \mMuMu in the TMS-TMS dimuon category, in the signal regions optimized for the HAHM. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $\mMuMu$ in three min($\dzeroSig$) bins: (left) 6--10, (center) 10--20, and (right) ${>}20$. Hatched histograms show statistical uncertainties in the total expected background. Signal contributions expected from simulated $\PSMHiggs \to \PZD \PZD$ events with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95\% \CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination. The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\mathcal{B}(\PSMHiggs \to \PZD \PZD)$ as a function of $\cTau(\PZD)$ in the HAHM model, for $\mZD$ ranging from (upper left) 10\GeV to (lower right) 60\GeV, obtained in this analysis, the Run~2 analysis~\cite{EXO-21-006}, and their combination. The observed limits in this analysis and in the Run 2 analysis~\cite{EXO-21-006} are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95\% quantiles for the combined expected limits.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.

The 95\% \CL upper limits on $\sigma(\Pp\Pp\to\PRPVSquark\PASQ)\mathcal{B}(\squarktoqchi)$ as a function of $\cTau(\PRPVChi)$ in the RPV SUSY model, for $\mathcal{B}(\chitomumunu) = 0.5$ and $\mSquark$ ranging from (upper left) 125\GeV to (lower right) 1.6\TeV. The observed limits for various combinations of $\mSquark$ and $\mChi$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95\% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $\mChi = 50\GeV$ and omitted for other neutralino masses for clarity. The gray horizontal lines indicate the theoretical values of the squark-antisquark production cross sections with the uncertainties shown as gray shaded bands. The predicted cross sections for $\mSquark$ = 125, 200, and 350\GeV are, respectively, 7200, 840, and 50\unit{pb}, and fall outside the $y$-axis range.