Search for bottom-squark pair production in $pp$ collision events at $\sqrt{s}=13$ TeV with hadronically decaying $\tau$-leptons, $b$-jets and missing transverse momentum using the ATLAS detector
A search for pair production of bottom squarks in events with hadronically decaying $\tau$-leptons, $b$-tagged jets and large missing transverse momentum is presented. The analyzed dataset is based on proton-proton collisions at $\sqrt{s}$ = 13 TeV delivered by the Large Hadron Collider and recorded by the ATLAS detector from 2015 to 2018, and corresponds to an integrated luminosity of 139 fb$^{-1}$. The observed data are compatible with the expected Standard Model background. Results are interpreted in a simplified model where each bottom squark is assumed to decay into the second-lightest neutralino $\tilde \chi_2^0$ and a bottom quark, with $\tilde \chi_2^0$ decaying into a Higgs boson and the lightest neutralino $\tilde \chi_1^0$. The search focuses on final states where at least one Higgs boson decays into a pair of hadronically decaying $\tau$-leptons. This allows the acceptance and thus the sensitivity to be significantly improved relative to the previous results at low masses of the $\tilde \chi_2^0$, where bottom-squark masses up to 850 GeV are excluded at the 95% confidence level, assuming a mass difference of 130 GeV between $\tilde \chi_2^0$ and $\tilde \chi_1^0$. Model-independent upper limits are also set on the cross section of processes beyond the Standard Model.
15 March 2021
Table 01
Summary of the common analysis preselection.
The requirements in the upper part of the table apply to all analysis regions,
those in the lower part of the table to all but the Z($\tau\tau$) control regions as discussed in Section 6.
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Table 02
Definition of the single-bin and multi-bin signal regions.
The requirements are applied in addition to the preselection from Table 1.
The single-bin and multi-bin SRs only differ by the Θ
min requirement.
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Table 03
Definition of the control regions used for the top-quark background.
The requirements are applied in addition to the preselection.
A dash means that no requirement on this variable is applied.
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Table 04
Definition of the control regions used for the Z+jets background.
The requirements are applied in addition to the set of preselection criteria reported in the upper part of Table 1.
A dash means that no requirement on this variable is applied.
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Table 05
Values of normalization and transfer factors with their statistical and systematic uncertainties as obtained from the background-only fit,
in the top part of the table for top-quark background processes, and
in the bottom part for Z+jets.
The control regions that primarily affect the normalization factors are listed,
together with the purity of the CR in the relevant background process.
As TF
Top and TF
Z are ratios of two normalization factors,
one of which (the denominator) is listed in the row directly above,
the table lists the respective second control region (the numerator of the ratio) and its purity in top-quark or Z($\tau\tau$) + $b\bar b$ events.
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Table 06
Dominant systematic uncertainties in the background prediction for the signal regions after the fit to the control regions.
"Other" includes the uncertainties
arising from muons, jet-vertex tagging, modeling of pileup,
the $E_\mathrm{T}^\mathrm{miss}$ computation, multijet background, and luminosity.
The individual uncertainties can be correlated and do not necessarily add in quadrature to equal the total uncertainty.
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Table 07
The observed event yields in data,
the total expected yields from SM processes obtained from the background-only fit and breakdown of individual contributions,
and the expected signal contributions for three benchmark models
are shown for the single-bin signal region and the three bins of the multi-bin signal region.
Total uncertainties combining the statistical and systematic uncertainties are quoted for the background processes.
For the signal, the quoted uncertainties are only statistical.
"Other" combines all SM background contributions that are not listed explicitly,
covering V+jets except for Z($\tau\tau$)+jets, multijet, diboson and triboson contributions.
The dash means that no events pass the selection.
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Table 08
Upper limits at 95% CL on the visible cross section $\sigma_\mathrm{vis}$,
on the number of signal events ($S_\mathrm{obs}^{95}$),
and on number of signal events given the expected number (and ± 1σ excursions of the expectation) of background events ($S_\mathrm{exp}^{95}$).
The last two columns indicate the CL
b value,
i.e. the confidence level observed for the background-only hypothesis,
the discovery $p$-value ($p(s = 0)$),
and its associated significance Z.
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Figure 01
Expected and observed exclusion contours at the 95% CL as a function of $m(\tilde b)$ and $m(\tilde \chi_2^0)$,
assuming $\Delta m(\tilde\chi_2^0 , \tilde\chi_1^0)$ = 130 GeV.
Results are shown for the present search that requires hadronically decaying $\tau$-leptons, $b$-jets and $E_\mathrm{T}^\mathrm{miss}$ in the final state.
The grey numbers give the upper limit on the signal cross section
for each tested mass-parameter hypothesis for the underlying simplified model.
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Figure 02
Expected and observed exclusion contours at the 95% CL as a function of $m(\tilde b)$ and $m(\tilde\chi_2^0)$,
assuming $\Delta m(\tilde\chi_2^0, \tilde\chi_1^0)$ = 130 GeV.
Results are shown for the present search that requires hadronically decaying $\tau$-leptons, $b$-jets and $E_\mathrm{T}^\mathrm{miss}$ in the final state.
The grey numbers give the expected upper limit on the signal cross section
for each tested mass-parameter hypothesis for the underlying simplified model.
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Figure 03
Expected and observed exclusion contours at the 95% CL as function of $m(\tilde b)$ and $m(\tilde\chi_2^0)$,
assuming $\Delta m(\tilde\chi_2^0, \tilde\chi_1^0)$ = 130 GeV.
Results are shown for the present search that requires hadronically decaying $\tau$-leptons, $b$-jets and $E_\mathrm{T}^\mathrm{miss}$ in the final state.
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Figure 04a
Schematic representation of the Θ
min variable in a tt̄ event with two hadronically decaying $\tau$-leptons (blue) and two $b$-jets (red).
The dashed grey lines are the neutrinos.
The left image shows the decay chain, the right image the four angles Θ
i for all combinations of $b$-jets and $\tau$-leptons
of which Θ
min is the minimum.
The angles Θ
i are depicted here as all lying in the same plane,
but they are actually defined between the 3-dimensional momentum vectors.
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Figure 04b
Schematic representation of the Θ
min variable in a tt̄ event with two hadronically decaying $\tau$-leptons (blue) and two $b$-jets (red).
The dashed grey lines are the neutrinos.
The left image shows the decay chain, the right image the four angles Θ
i for all combinations of $b$-jets and $\tau$-leptons
of which Θ
min is the minimum.
The angles Θ
i are depicted here as all lying in the same plane,
but they are actually defined between the 3-dimensional momentum vectors.
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Figure 05
Distribution of $E_\mathrm{T}^\mathrm{miss}$ in the multijet-enriched selection.
The hatched band indicates the total statistical and systematic uncertainty of the SM background.
The rightmost bin includes the overflow.
The bottom panel shows the ratio of the observed data and the expected Standard Model background.
The "Other" contribution includes
top-quark production, V+jets, di-/tribosons and tt̄X.
The discontinuity at 200 GeV is due to the transition from the combined $b$-jet-plus-$E_\mathrm{T}^\mathrm{miss}$ trigger to the $E_\mathrm{T}^\mathrm{miss}$ trigger,
which has a higher selection efficiency in this regime.
Except for this multijet-enriched selection, the multijet background is found to be negligible in all analysis selections.
This selection is therefore not part of the fit.
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Figure 06
Distribution of Θ
min for events that pass the preselection and have at least two hadronically decaying $\tau$-leptons.
Predictions from three signal models are shown
in addition to the observed data and the expected SM background,
with the masses of $\tilde b$ and $\tilde\chi_2^0$ given in GeV in the legend.
The hatched band indicates the total statistical and systematic uncertainty of the SM background.
The "Other" contribution includes all the backgrounds not explicitly listed in the legend (V+jets except Z($\tau\tau$)+jets, di-/triboson, multijet).
The top-quark and Z($\tau\tau$) background contributions are scaled with the normalization factors obtained from the background-only fit described in Section 6.
The rightmost bin includes the overflow.
The bottom panel shows the ratio of the observed data and the expected Standard Model background.
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Figure 08a
Acceptance (top) and efficiency (bottom) of the bin Θ
min < 0.5 of the multi-bin SR.
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Figure 08b
Acceptance (top) and efficiency (bottom) of the bin Θ
min < 0.5 of the multi-bin SR.
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Figure 09a
Acceptance (top) and efficiency (bottom) of the bin 0.5 < Θ
min < 1.0 of the multi-bin SR.
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Figure 09b
Acceptance (top) and efficiency (bottom) of the bin 0.5 < Θ
min < 1.0 of the multi-bin SR.
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Figure 10a
Acceptance (top) and efficiency (bottom) of the bin Θ
min > 1.0 of the multi-bin SR.
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Figure 10b
Acceptance (top) and efficiency (bottom) of the bin Θ
min > 1.0 of the multi-bin SR.
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Table 01
Cutflow for the benchmark signal model ($m(\tilde b), m(\tilde\chi_2^0)$) = (800,180) GeV.
The simulated sample contains 30000 raw MC events after the generator filters are applied,
which is equivalent to 152130 raw MC events before the generator filters.
Weighted event yields are reported, normalized to an integrated luminosity of 139 fb
-1.
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Table 02
The observed event yields in data and the total expected yields from SM processes and breakdown of individual contributions
are shown for the three bins of the multi-bin signal regions after the fit.
The fit configuration is that of an exclusion fit with a signal strength set to 0,
which is equivalent to a background-only fit with SRs treated as CRs.
Total uncertainties combining the statistical and systematic uncertainties are quoted for the background processes.
The row "other" combines all SM background contributions that are not listed explicitly,
covering V+jets except for Z($\tau\tau$)+jets, multijet, diboson and triboson contributions.
The dash means that no events pass the selection.
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