Search for Higgs boson pair production in the two bottom quarks plus two photons final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-180, 2021.
Inspire Record 1995886 DOI 10.17182/hepdata.105864

Searches are performed for nonresonant and resonant di-Higgs boson production in the $b\bar{b}\gamma\gamma$ final state. The data set used corresponds to an integrated luminosity of 139 fb$^{-1}$ of proton-proton collisions at a center-of-mass energy of 13 TeV recorded by the ATLAS detector at the CERN Large Hadron Collider. No excess above the expected background is found and upper limits on the di-Higgs boson production cross sections are set. A 95% confidence-level upper limit of 4.2 times the cross section predicted by the Standard Model is set on $pp \rightarrow HH$ nonresonant production, where the expected limit is 5.7 times the Standard Model predicted value. The expected constraints are obtained for a background hypothesis excluding $pp \rightarrow HH$ production. The observed (expected) constraints on the Higgs boson trilinear coupling modifier $\kappa_{\lambda}$ are determined to be $[-1.5, 6.7]$ $([-2.4, 7.7])$ at 95% confidence level, where the expected constraints on $\kappa_{\lambda}$ are obtained excluding $pp \rightarrow HH$ production from the background hypothesis. For resonant production of a new hypothetical scalar particle $X$ ($X \rightarrow HH \rightarrow b\bar{b}\gamma\gamma$), limits on the cross section for $pp \to X \to HH$ are presented in the narrow-width approximation as a function of $m_{X}$ in the range $251 \leq m_{X} \leq 1000$ GeV. The observed (expected) limits on the cross section for $pp \to X \to HH$ range from 610 fb to 47 fb (360 fb to 43 fb) over the considered mass range.

31 data tables

The BDT distribution of the di-Higgs ggF signal for two different values of $\kappa_{\lambda}$ and the main backgrounds in the low mass region ($m^{*}_{b\bar{b}\gamma\gamma} < 350$ GeV). Distributions are normalized to unit area. The dotted lines denote the category boundaries. Events with a BDT score below 0.881 in the low mass region are discarded.

The BDT distribution (with x-axis zoomed in) of the di-Higgs ggF signal for two different values of $\kappa_{\lambda}$ and the main backgrounds in the low mass region ($m^{*}_{b\bar{b}\gamma\gamma} < 350$ GeV). Distributions are normalized to unit area. The dotted lines denote the category boundaries. Events with a BDT score below 0.881 in the low mass region are discarded. The range of BDT scores is from 0.8 to 1.

The BDT distribution of the di-Higgs ggF signal for two different values of $\kappa_{\lambda}$ and the main backgrounds in the high mass region ($m^{*}_{b\bar{b}\gamma\gamma} > 350$ GeV). Distributions are normalized to unit area. The dotted lines denote the category boundaries. Events with a BDT score below 0.857 in the high mass region are discarded.

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Search for associated production of a $Z$ boson with an invisibly decaying Higgs boson or dark matter candidates at $\sqrt{s}=13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-204, 2021.
Inspire Record 1969392 DOI 10.17182/hepdata.114363

A search for invisible decays of the Higgs boson as well as searches for dark matter candidates, produced together with a leptonically decaying $Z$ boson, are presented. The analysis is performed using proton-proton collisions at a centre-of-mass energy of 13 TeV, delivered by the LHC, corresponding to an integrated luminosity of 139 fb$^{-1}$ and recorded by the ATLAS experiment. Assuming Standard Model cross-sections for $ZH$ production, the upper limit on the branching ratio of the Higgs boson to invisible particles is found to be 19% at the 95% confidence level. Exclusion limits are also set for simplified dark matter models and 2HDM$+a$ models.

28 data tables

The expected exclusion contours as a function of (m(med), m($\chi$)), with Axial-vector mediator)

The observed exclusion contours as a function of (m(med), m($\chi$)), with Axial-vector mediator)

The expected exclusion contours as a function of (m(med), m($\chi$)), with Vector mediator)

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Constraints on Higgs boson production with large transverse momentum using $H\rightarrow b\bar{b}$ decays in the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-185, 2021.
Inspire Record 1969589 DOI 10.17182/hepdata.102183

This paper reports constraints on Higgs boson production with transverse momentum above 1 TeV. The analyzed data from proton-proton collisions at a center-of-mass energy of 13 TeV were recorded with the ATLAS detector at the Large Hadron Collider from 2015 to 2018 and correspond to an integrated luminosity of 136 fb$^{-1}$. Higgs bosons decaying into $b\bar{b}$ are reconstructed as single large-radius jets recoiling against a hadronic system and identified by the experimental signature of two $b$-hadron decays. The experimental techniques are validated in the same kinematic regime using the $Z\rightarrow b\bar{b}$ process. The 95% confidence-level upper limit on the cross section for Higgs boson production with transverse momentum above 450 GeV is 115 fb, and above 1 TeV it is 9.6 fb. The Standard Model predictions in the same kinematic regions are 18.4 fb and 0.13 fb, respectively.

11 data tables

- - - - - - - - Overview of HEPData Record - - - - - - - - <br/><br/> <b>Standard Model cross sections:</b> <a href="102183?table=SMcrosssections">table</a><br/><br/> <b>Cutflow ggF:</b> <a href="102183?table=CutflowggF">table</a><br/><br/> <b>Cutflow VBF:</b> <a href="102183?table=CutflowVBF">table</a><br/><br/> <b>Cutflow VH:</b> <a href="102183?table=CutflowVH">table</a><br/><br/> <b>Cutflow ttH:</b> <a href="102183?table=CutflowttH">table</a><br/><br/> <b>Production mode fractional contributions::</b> <a href="102183?table=Fractionalcontribution">table</a><br/><br/> <b>Acceptance times efficiency - fiducial:</b> <a href="102183?table=Acceptancetimesefficiency-fiducial">table</a><br/><br/> <b>Acceptance times efficiency - differential:</b> <a href="102183?table=Acceptancetimesefficiency-differential">table</a><br/><br/> <b>Yield table - fiducial:</b> <a href="102183?table=Eventyields-fiducial">table</a><br/><br/> <b>Yield table - differential:</b> <a href="102183?table=Eventyields-differential">table</a><br/><br/>

Predicted Higgs boson production cross sections within fiducial volumes obtained from the four production mode MC samples (ggF, VBF, VH, and ttH) described in Section 3 with and without higher order electroweak (EW) corrections. All μH values reported are with respect to cross section with EW corrections.

The efficiency for simulated ggF events to pass each analysis cut.

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Measurement of Higgs boson decay into $b$-quarks in associated production with a top-quark pair in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-202, 2021.
Inspire Record 1967501 DOI 10.17182/hepdata.114360

The associated production of a Higgs boson and a top-quark pair is measured in events characterised by the presence of one or two electrons or muons. The Higgs boson decay into a $b$-quark pair is used. The analysed data, corresponding to an integrated luminosity of 139 fb$^{-1}$, were collected in proton-proton collisions at the Large Hadron Collider between 2015 and 2018 at a centre-of-mass energy of $\sqrt{s}=13$ TeV. The measured signal strength, defined as the ratio of the measured signal yield to that predicted by the Standard Model, is $0.35^{+0.36}_{-0.34}$. This result is compatible with the Standard Model prediction and corresponds to an observed (expected) significance of 1.0 (2.7) standard deviations. The signal strength is also measured differentially in bins of the Higgs boson transverse momentum in the simplified template cross-section framework, including a bin for specially selected boosted Higgs bosons with transverse momentum above 300 GeV.

74 data tables

Comparison between data and prediction for the DNN $P(H)$ output for the Higgs boson candidate prior to any fit to the data in the single-lepton boosted channel for $300\le p_T^H<450$ GeV. The dashed line shows the ${t\bar {t}H}$ signal distribution normalised to the total background prediction. The uncertainty band includes all uncertainties and their correlations.

Comparison between data and prediction for the DNN $P(H)$ output for the Higgs boson candidate prior to any fit to the data in the single-lepton boosted channel for $p_{{T}}^{H}\ge 450$ GeV. The dashed line shows the ${t\bar {t}H}$ signal distribution normalised to the total background prediction. The uncertainty band includes all uncertainties and their correlations.

Performance of the Higgs boson reconstruction algorithms. For each row of `truth' ${\hat{p}_{{T}}^{H}}$, the matrix shows (in percentages) the fraction of all Higgs boson candidates with reconstructed $p_T^H$ in the various bins of the dilepton (left), single-lepton resolved (middle) and boosted (right) channels.

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Search for Higgs bosons decaying into new spin-0 or spin-1 particles in four-lepton final states with the ATLAS detector with 139 fb$^{-1}$ of $pp$ collision data at $\sqrt{s}=13$ TeV

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-193, 2021.
Inspire Record 1954278 DOI 10.17182/hepdata.111057

Searches are conducted for new spin-0 or spin-1 bosons using events where a Higgs boson with mass $125$ GeV decays into four leptons ($\ell =$$e$,$\mu$). This decay is presumed to occur via an intermediate state which contains two on-shell, promptly decaying bosons: $H \rightarrow XX/ZX \rightarrow 4\ell$, where the new boson $X$ has a mass between 1 and 60 GeV. The search uses $pp$ collision data collected with the ATLAS detector at the LHC with an integrated luminosity of 139 fb$^{-1}$ at a centre-of-mass energy $\sqrt{s}=13$ TeV. The data are found to be consistent with Standard Model expectations. Limits are set on fiducial cross sections and on the branching ratio of the Higgs boson to decay into $XX/ZX$, improving those from previous publications by a factor between two and four. Limits are also set on mixing parameters relevant in extensions of the Standard Model containing a dark sector where $X$ is interpreted to be a dark boson.

31 data tables

Distribution of $\langle m_{\ell\ell}\rangle$ for events selected in the HM $H\to XX \to 4\ell$ $\, ( 15 \,\text{GeV} < m_{X} < 60 \,\text{GeV})$ analysis. (Pre-fit background expectations and signal templates for $m_{Z_d} = 20 \,\text{GeV}$, $35 \,\text{GeV}$, and $55 \,\text{GeV}$ are given. The latter's yields are normalized with $\sigma(pp\to H\to Z_dZ_d\to 4\ell) =\frac{1}{10}\sigma_{\textrm{SM}}(pp\to H\to ZZ^*\to 4\ell)$.

Distribution of $\langle m_{\ell\ell}\rangle$ for events selected in the LM $H\to XX \to 4\mu$ $( 1 \,\text{GeV} < m_{X} < 15 \, \text{GeV} )$ analysis. The regions of 2 GeV to 4.4 GeV, and 8 GeV to 12 GeV are each excluded by the quarkonia veto. No data events pass this selection. Background expectations are pre-fit. Signal templates for $m_{Z_d} = 2 \,\text{GeV}$, $6 \,\text{GeV}$, and $15 \,\text{GeV}$ are given. All signal yields are normalized with $\sigma(pp\to H\to aa\to 4\mu) = \frac{1}{10}\sigma_{\textrm{SM}}(pp\to H\to ZZ^*\to 4\mu) = 0.15 \text{ fb}$ .

Distribution of $m_{34}$ for data and background events in the mass range $115 \,\text{GeV} < m_{4\ell} < 130 \,\text{GeV}$ after the $H\to ZX\to 4\ell$ selection. The background yield for the $H \to ZZ^* \to 4\ell$ process is post-fit and constrained to $1.2 \pm 0.16$ times the Standard Model expectation. Three $H \to ZZ_d \to 4\ell$ signal templates are shown for $Z_d$ masses of $m_{Z_d} = 20 \,\text{GeV}$, $35 \,\text{GeV}$, and $55 \,\text{GeV}$. They are normalized to a branching ratio of $\textrm{BR}(H\rightarrow ZZ_d \rightarrow 4\ell) = \frac{1}{10}\textrm{BR}(H\rightarrow ZZ^*\rightarrow 4\ell)$.

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Version 2
Measurement of the energy asymmetry in $t\bar{t}j$ production at 13 TeV with the ATLAS experiment and interpretation in the SMEFT framework

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-181, 2021.
Inspire Record 1941095 DOI 10.17182/hepdata.111348

A measurement of the energy asymmetry in jet-associated top-quark pair production is presented using 139 $\mathrm{fb}^{-1}$ of data collected by the ATLAS detector at the Large Hadron Collider during $pp$ collisions at $\sqrt{s}=13$ TeV. The observable measures the different probability of top and antitop quarks to have the higher energy as a function of the jet scattering angle with respect to the beam axis. The energy asymmetry is measured in the semileptonic $t\bar{t}$ decay channel, and the hadronically decaying top quark must have transverse momentum above $350$ GeV. The results are corrected for detector effects to particle level in three bins of the scattering angle of the associated jet. The measurement agrees with the SM prediction at next-to-leading-order accuracy in quantum chromodynamics in all three bins. In the bin with the largest expected asymmetry, where the jet is emitted perpendicular to the beam, the energy asymmetry is measured to be $-0.043\pm0.020$, in agreement with the SM prediction of $-0.037\pm0.003$. Interpreting this result in the framework of the Standard Model effective field theory (SMEFT), it is shown that the energy asymmetry is sensitive to the top-quark chirality in four-quark operators and is therefore a valuable new observable in global SMEFT fits.

6 data tables

Data Measurements and predictions of the energy asymmetry in three bins of the jet angle $\theta_j$. The SM prediction was obtained from simulations of $t\bar{t}j$ events with MadGraph5_aMC@NLO + Pythia 8 at NLO in QCD for $t\bar{t}j$ + PS, including MC statistical and scale uncertainties.

Correlation coefficients $\rho_{i,j}$ for the statistical and systematic uncertainties between the $i$-th and $j$-th bin of the differential $A_E$ measurement as a function of the jet scattering angle $\theta_j$

The effects on the energy asymmetry of $1\sigma$ variations in its influencing nuisance parameters for the three $\theta_j$ bins. These are extracted from the samples of the posterior distribution with $\sigma_i^{(j)} = c_{ij}/\sqrt{c_{jj}}$ being the estimated shift of bin $i$ in conjunction with a shift $\Delta\theta_j$ of nuisance parameter $j$. The data statistical (Data stat.) uncertainty is obtained from running the unfolding with all nuisance parameters being fixed to their post-marginalised values, the MC statistical uncertainty on the response matrix ($t\bar{t}$ response MC stat.) is evaluated using a bootstrapping method from the covariance matrix of the ensemble of repeated unfolding results with varied response matrices. The $\gamma$ variations denote the statistical uncertainties of the background predictions in the corresponding bin of the $\Delta E$ vs $\theta_{j}$ distribution. The numbers appended to the $W$+jets PDF variations denote the corresponding NNPDF3.0 PDF sets.

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Search for Higgs boson decays into a pair of pseudoscalar particles in the $bb\mu\mu$ final state with the ATLAS detector in $pp$ collisions at $\sqrt s$=13  TeV

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
Phys.Rev.D 105 (2022) 012006, 2022.
Inspire Record 1937344 DOI 10.17182/hepdata.107761

This paper presents a search for decays of the Higgs boson with a mass of 125 GeV into a pair of new pseudoscalar particles, $H\rightarrow aa$, where one $a$-boson decays into a $b$-quark pair and the other into a muon pair. The search uses 139 fb$^{-1}$ of proton-proton collision data at a center-of-mass energy of $\sqrt{s}=13$ TeV recorded between 2015 and 2018 by the ATLAS experiment at the LHC. A narrow dimuon resonance is searched for in the invariant mass spectrum between 16 GeV and 62 GeV. The largest excess of events above the Standard Model backgrounds is observed at a dimuon invariant mass of 52 GeV and corresponds to a local (global) significance of $3.3 \sigma$ ($1.7 \sigma$). Upper limits at 95% confidence level are placed on the branching ratio of the Higgs boson to the $bb\mu\mu$ final state, $\mathcal{B}(H\rightarrow aa\rightarrow bb\mu\mu)$, and are in the range $\text{(0.2-4.0)} \times 10^{-4}$, depending on the signal mass hypothesis.

11 data tables

Post-fit number of background events in all SR bins (after applying the BDT cuts) that are tested for the presence of signal. The bins are 2 GeV (3 GeV) wide in mmumu for ma ≤ 45 GeV (ma > 45 GeV). Events in neighbouring bins partially overlap. Discontinuities in the background predictions appear when the BDT discriminant used for the selection changes from the one trained in the lower mass range to the one trained in the higher mass range.

Post-fit number of background events in all SR bins without applying the BDT cuts that are tested for the presence of signal. The bins are 2 GeV (3 GeV) wide in mµµ for $m_a$ ≤ 45 GeV ($m_a$ > 45 GeV). Events in neighbouring bins partially overlap. Discontinuities in the background predictions appear when the BDT discriminant used for the selection changes from the one trained in the lower mass range to the one trained in the higher mass range.

Probability that the observed spectrum is compatible with the background-only hypothesis. The local $p_0$-values are quantified in standard deviations $\sigma$.

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Search for exotic decays of the Higgs boson into $b\bar{b}$ and missing transverse momentum in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-098, 2021.
Inspire Record 1917172 DOI 10.17182/hepdata.104855

A search for the exotic decay of the Higgs boson ($H$) into a $b\bar{b}$ resonance plus missing transverse momentum is described. The search is performed with the ATLAS detector at the Large Hadron Collider using 139 $\mathrm{fb}^{-1}$ of $pp$ collisions at $\sqrt{s} = 13$ TeV. The search targets events from $ZH$ production in an NMSSM scenario where $H \rightarrow \tilde{\chi}^{0}_{2}\tilde{\chi}^{0}_{1}$, with $\tilde{\chi}^{0}_{2} \rightarrow {a} \tilde{\chi}^{0}_{1}$, where $a$ is a light pseudoscalar Higgs boson and $\tilde{\chi}^{0}_{1,2}$ are the two lightest neutralinos. The decay of the $a$ boson into a pair of $b$-quarks results in a peak in the dijet invariant mass distribution. The final-state signature consists of two leptons, two or more jets, at least one of which is identified as originating from a $b$-quark, and missing transverse momentum. Observations are consistent with Standard Model expectations and upper limits are set on the product of cross section times branching ratio for a three-dimensional scan of the masses of the $\tilde{\chi}^{0}_{2}$, $\tilde{\chi}^{0}_{1}$ and $a$ boson.

20 data tables

Distribution of the dijet invariant mass in CRZ. The Z+HF and $t\bar{t}$ scale factors, described in the text, have been applied to the simulated samples. The distribution labeled "Signal" is for the model with ($m_a$, $m_{\tilde{\chi}_{1}^{0}}$, $m_{\tilde{\chi}_{2}^{0}}$) = (45 GeV, 10 GeV, 80 GeV).

Distribution of the missing transverse energy in VRMET. The Z+HF and $t\bar{t}$ scale factors, described in the text, have been applied to the simulated samples. The distribution labeled "Signal" is for the model with ($m_a$, $m_{\tilde{\chi}_{1}^{0}}$, $m_{\tilde{\chi}_{2}^{0}}$) = (45 GeV, 10 GeV, 80 GeV).

Distribution of the dijet invariant mass in CRTop. The Z+HF and $t\bar{t}$ scale factors, described in the text, have been applied to the simulated samples. The distribution labeled "Signal" is for the model with ($m_a$, $m_{\tilde{\chi}_{1}^{0}}$, $m_{\tilde{\chi}_{2}^{0}}$) = (45 GeV, 10 GeV, 80 GeV).

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Observation of electroweak production of two jets in association with an isolated photon and missing transverse momentum, and search for a Higgs boson decaying into invisible particles at 13 TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
2021.
Inspire Record 1915357 DOI 10.17182/hepdata.107760

This paper presents the measurement of the electroweak production of two jets in association with a $Z\gamma$ pair with the $Z$ boson decaying into two neutrinos. It also presents the search for invisible or partially invisible decays of a Higgs boson with a mass of 125 GeV produced through vector-boson fusion with a photon in the final state. These results use data from LHC proton-proton collisions at $\sqrt{s}$ = 13 TeV collected with the ATLAS detector corresponding to an integrated luminosity of 139 fb$^{-1}$. The event signature, shared by all benchmark processes considered for measurements and searches, is characterized by a significant amount of unbalanced transverse momentum and a photon in the final state, in addition to a pair of forward jets. For electroweak production of $Z\gamma$ in association with two jets, the background-only hypothesis is rejected with an observed (expected) significance of 5.2 (5.1) standard deviations. The measured fiducial cross-section for this process is 1.31$\pm$0.29 fb. Observed (expected) upper limit of 0.37 (0.34) at 95% confidence level is set on the branching ratio of a 125 GeV Higgs boson to invisible particles, assuming the Standard Model production cross-section. The signature is also interpreted in the context of decays of a Higgs boson to a photon and a dark photon. An observed (expected) 95% CL upper limit on the branching ratio for this decay is set at 0.018 (0.017), assuming the 125 GeV Standard Model Higgs boson production cross-section.

16 data tables

Post-fit results for all $m_\text{jj}$ SR and CR bins in the EW $Z \gamma + \text{jets}$ cross-section measurement with the $\mu_{Z \gamma_\text{EW}}$ signal normalization floating. The post-fit uncertainties include statistical, experimental, and theory contributions.

Post-fit results for all DNN SR and CR bins in the search for $H \to \text{inv.}$ with the $\mathcal{B}_\text{inv}$ signal normalization set to zero. For the $Z_\text{Rev.Cen.}^\gamma$ CR, the third bin contains all events with DNN output score values of 0.6-1.0. The $H \to \text{inv.}$ signal is scaled to a $\mathcal{B}_\text{inv}$ of 37%. The post-fit uncertainties include statistical, experimental, and theoretical contributions.

Post-fit results for the ten [$m_\text{jj}$, $m_\text{T}$] bins constituting the SR and CRs defined for the dark photon search with the $\mathcal{B}(H \to \gamma \gamma_\text{d})$ signal normalization set to zero. A $H \to \gamma \gamma_\text{d}$ signal is shown for two different mass hypotheses (125 GeV, 500 GeV) and scaled to a branching ratio of 2% and 1%, respectively. The post-fit uncertainties include statistical, experimental, and theoretical contributions.

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Measurement of the nuclear modification factor for muons from charm and bottom hadrons in Pb+Pb collisions at 5.02 TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-153, 2021.
Inspire Record 1914582 DOI 10.17182/hepdata.111123

Heavy-flavour hadron production provides information about the transport properties and microscopic structure of the quark-gluon plasma created in ultra-relativistic heavy-ion collisions. A measurement of the muons from semileptonic decays of charm and bottom hadrons produced in Pb+Pb and $pp$ collisions at a nucleon-nucleon centre-of-mass energy of 5.02 TeV with the ATLAS detector at the Large Hadron Collider is presented. The Pb+Pb data were collected in 2015 and 2018 with sampled integrated luminosities of $208~\mathrm{\mu b}^{-1}$ and $38~\mathrm{\mu b^{-1}}$, respectively, and $pp$ data with a sampled integrated luminosity of $1.17~\mathrm{pb}^{-1}$ were collected in 2017. Muons from heavy-flavour semileptonic decays are separated from the light-flavour hadronic background using the momentum imbalance between the inner detector and muon spectrometer measurements, and muons originating from charm and bottom decays are further separated via the muon track's transverse impact parameter. Differential yields in Pb+Pb collisions and differential cross sections in $pp$ collisions for such muons are measured as a function of muon transverse momentum from 4 GeV to 30 GeV in the absolute pseudorapidity interval $|\eta| < 2$. Nuclear modification factors for charm and bottom muons are presented as a function of muon transverse momentum in intervals of Pb+Pb collision centrality. The measured nuclear modification factors quantify a significant suppression of the yields of muons from decays of charm and bottom hadrons, with stronger effects for muons from charm hadron decays.

6 data tables

Summary of charm muon double differential cross section in pp collisions at 5.02 TeV as a function of pT. Uncertainties are statistical and systematic, respectively.

Summary of charm muon per-event invariant yields in Pb+Pb collisions at 5.02 TeV as a function of pT for five different centrality intervals. Uncertainties are statistical and systematic, respectively.

Summary of bottom muon per-event invariant yields in Pb+Pb collisions at 5.02 TeV as a function of pT for five different centrality intervals. Uncertainties are statistical and systematic, respectively.

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Measurement of $b$-quark fragmentation properties in jets using the decay $B^{\pm} \to J/\psi K^{\pm}$ in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
CERN-EP-2021-123, 2021.
Inspire Record 1913061 DOI 10.17182/hepdata.94220

The fragmentation properties of jets containing $b$-hadrons are studied using charged $B$ mesons in 139 fb$^{-1}$ of $pp$ collisions at $\sqrt{s} = 13$ TeV, recorded with the ATLAS detector at the LHC during the period from 2015 to 2018. The $B$ mesons are reconstructed using the decay of $B^{\pm}$ into $J/\psi K^{\pm}$, with the $J/\psi$ decaying into a pair of muons. Jets are reconstructed using the anti-$k_t$ algorithm with radius parameter $R=0.4$. The measurement determines the longitudinal and transverse momentum profiles of the reconstructed $B$ hadrons with respect to the axes of the jets to which they are geometrically associated. These distributions are measured in intervals of the jet transverse momentum, ranging from 50 GeV to above 100 GeV. The results are corrected for detector effects and compared with several Monte Carlo predictions using different parton shower and hadronisation models. The results for the longitudinal and transverse profiles provide useful inputs to improve the description of heavy-flavour fragmentation in jets.

8 data tables

Longitudinal profile for 50 GeV < pT < 70 GeV.

Transverse profile for 50 GeV < pT < 70 GeV.

Longitudinal profile for 70 GeV < pT < 100 GeV.

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Search for heavy particles in the $b$-tagged dijet mass distribution with additional $b$-tagged jets in proton-proton collisions at $\sqrt s$= 13  TeV with the ATLAS experiment

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
Phys.Rev.D 105 (2022) 012001, 2022.
Inspire Record 1909506 DOI 10.17182/hepdata.111056

A search optimized for new heavy particles decaying to two $b$-quarks and produced in association with additional $b$-quarks is reported. The sensitivity is improved by $b$-tagging at least one lower-$p_\text{T}$ jet in addition to the two highest-$p_\text{T}$ jets. The data used in this search correspond to an integrated luminosity of 103 $\text{fb}^{-1}$ collected with a dedicated trijet trigger during the 2017 and 2018 $\sqrt{s} = 13$ TeV proton$-$proton collision runs with the ATLAS detector at the LHC. The search looks for resonant peaks in the $b$-tagged dijet invariant mass spectrum over a smoothly falling background. The background is estimated with an innovative data-driven method based on orthonormal functions. The observed $b$-tagged dijet invariant mass spectrum is compatible with the background-only hypothesis. Upper limits at 95% confidence level on a heavy vector-boson production cross section times branching ratio to a pair of $b$-quarks are derived.

4 data tables

Background estimate from the FD method with N=3 and data in the SR.

The observed (solid) and expected (dashed) 95% CL upper limits on the production of $Z' \to b\bar{b}$ in association with b-quarks.

Acceptance and Acceptance times efficiency for the LUV Z' model.

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Search for new phenomena in $pp$ collisions in final states with tau leptons, b-jets, and missing transverse momentum with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
Phys.Rev.D 104 (2021) 112005, 2021.
Inspire Record 1907601 DOI 10.17182/hepdata.105998

A search for new phenomena in final states with hadronically decaying tau leptons, $b$-jets, and missing transverse momentum is presented. The analyzed dataset comprises $pp$~collision data at a center-of-mass energy of $\sqrt s = 13$ TeV with an integrated luminosity of 139/fb, delivered by the Large Hadron Collider and recorded with the ATLAS detector from 2015 to 2018. The observed data are compatible with the expected Standard Model background. The results are interpreted in simplified models for two different scenarios. The first model is based on supersymmetry and considers pair production of top squarks, each of which decays into a $b$-quark, a neutrino and a tau slepton. Each tau slepton in turn decays into a tau lepton and a nearly massless gravitino. Within this model, top-squark masses up to 1.4 TeV can be excluded at the 95% confidence level over a wide range of tau-slepton masses. The second model considers pair production of leptoquarks with decays into third-generation leptons and quarks. Depending on the branching fraction into charged leptons, leptoquarks with masses up to around 1.25 TeV can be excluded at the 95% confidence level for the case of scalar leptoquarks and up to 1.8 TeV (1.5 TeV) for vector leptoquarks in a Yang--Mills (minimal-coupling) scenario. In addition, model-independent upper limits are set on the cross section of processes beyond the Standard Model.

89 data tables

Relative systematic uncertainties in the estimated number of background events in the signal regions. In the lower part of the table, a breakdown of the total uncertainty into different categories is given. For the multi-bin SR, the breakdown refers to the integral over all three $p_{\text{T}}(\tau)$ bins. As the individual uncertainties are correlated, they do not add in quadrature to equal the total background uncertainty.

Distributions of $m_{\text{T}2}(\tau_{1},\tau_{2})$ in the di-tau SR. The stacked histograms show the various SM background contributions. The hatched band indicates the total statistical and systematic uncertainty of the SM background. The $t\bar{t}$ (2 real $\tau$) and $t\bar{t}$ (1 real $\tau$) as well as the single-top background contributions are scaled with the normalization factors obtained from the background-only fit. Minor backgrounds are grouped together and denoted as 'Other'. This includes $t\bar{t}$-fake, single top, and other top (di-tau channel) or $t\bar{t}$-fake, $t\bar{t}+H$, multiboson, and other top (single-tau channel). The overlaid dotted lines show the additional contributions for signal scenarios close to the expected exclusion contour with the particle type and the mass and $\beta$ parameters for the simplified models indicated in the legend. For the leptoquark signal model the shapes of the distributions for $\text{LQ}_{3}^{\text{d}}$ and $\text{LQ}_{3}^{\text{v}}$ (not shown) are similar to that of $\text{LQ}_{3}^{\text{u}}$. The rightmost bin includes the overflow.

Distributions of $E_{\text{T}}^{\text{miss}}$ in the di-tau SR. The stacked histograms show the various SM background contributions. The hatched band indicates the total statistical and systematic uncertainty of the SM background. The $t\bar{t}$ (2 real $\tau$) and $t\bar{t}$ (1 real $\tau$) as well as the single-top background contributions are scaled with the normalization factors obtained from the background-only fit. Minor backgrounds are grouped together and denoted as 'Other'. This includes $t\bar{t}$-fake, single top, and other top (di-tau channel) or $t\bar{t}$-fake, $t\bar{t}+H$, multiboson, and other top (single-tau channel). The overlaid dotted lines show the additional contributions for signal scenarios close to the expected exclusion contour with the particle type and the mass and $\beta$ parameters for the simplified models indicated in the legend. For the leptoquark signal model the shapes of the distributions for $\text{LQ}_{3}^{\text{d}}$ and $\text{LQ}_{3}^{\text{v}}$ (not shown) are similar to that of $\text{LQ}_{3}^{\text{u}}$. The rightmost bin includes the overflow.

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Search for charginos and neutralinos in final states with two boosted hadronically decaying bosons and missing transverse momentum in $pp$ collisions at $\sqrt {s}$ = 13  TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
Phys.Rev.D 104 (2021) 112010, 2021.
Inspire Record 1906174 DOI 10.17182/hepdata.104458

A search for charginos and neutralinos at the Large Hadron Collider is reported using fully hadronic final states and missing transverse momentum. Pair-produced charginos or neutralinos are explored, each decaying into a high-$p_{\text{T}}$ Standard Model weak boson. Fully-hadronic final states are studied to exploit the advantage of the large branching ratio, and the efficient background rejection by identifying the high-$p_{\text{T}}$ bosons using large-radius jets and jet substructure information. An integrated luminosity of 139 fb$^{-1}$ of proton-proton collision data collected by the ATLAS detector at a center-of-mass energy of 13 TeV is used. No significant excess is found beyond the Standard Model expectation. The 95% confidence level exclusion limits are set on wino or higgsino production with varying assumptions in the decay branching ratios and the type of the lightest supersymmetric particle. A wino (higgsino) mass up to 1060 (900) GeV is excluded when the lightest SUSY particle mass is below 400 (240) GeV and the mass splitting is larger than 400 (450) GeV. The sensitivity to high-mass wino and higgsino is significantly extended compared with the previous LHC searches using the other final states.

145 data tables

- - - - - - - - Overview of HEPData Record - - - - - - - - <br/><br/> <b>Cutflow:</b> <a href="104458?version=1&table=Cut flows for the representative signals">table</a><br/><br/> <b>Boson tagging:</b> <ul> <li><a href="104458?version=1&table=%24W%2FZ%5Crightarrow%20qq%24%20tagging%20efficiency">$W/Z\rightarrow qq$ tagging efficiency</a> <li><a href="104458?version=1&table=%24W%2FZ%5Crightarrow%20qq%24%20tagging%20rejection">$W/Z\rightarrow qq$ tagging rejection</a> <li><a href="104458?version=1&table=%24Z%2Fh%20%5Crightarrow%20bb%24%20tagging%20efficiency">$Z/h\rightarrow bb$ tagging efficiency</a> <li><a href="104458?version=1&table=%24Z%2Fh%20%5Crightarrow%20bb%24%20tagging%20rejection">$Z/h\rightarrow bb$ tagging rejection</a> <li><a href="104458?version=1&table=%24W%5Crightarrow%20qq%24%20tagging%20efficiency%20(vs%20official%20WP)">$W\rightarrow qq$ tagging efficiency (vs official WP)</a> <li><a href="104458?version=1&table=%24W%5Crightarrow%20qq%24%20tagging%20rejection%20(vs%20official%20WP)">$W\rightarrow qq$ tagging rejection (vs official WP)</a> <li><a href="104458?version=1&table=%24Z%5Crightarrow%20qq%24%20tagging%20efficiency%20(vs%20official%20WP)">$Z\rightarrow qq$ tagging efficiency (vs official WP)</a> <li><a href="104458?version=1&table=%24Z%5Crightarrow%20qq%24%20tagging%20rejection%20(vs%20official%20WP)">$Z\rightarrow qq$ tagging rejection (vs official WP)</a> </ul> <b>Systematic uncertainty:</b> <a href="104458?version=1&table=Total%20systematic%20uncertainties">table</a><br/><br/> <b>Summary of SR yields:</b> <a href="104458?version=1&table=Data%20yields%20and%20background%20expectation%20in%20the%20SRs">table</a><br/><br/> <b>Expected background yields and the breakdown:</b> <ul> <li><a href="104458?version=1&table=Data%20yields%20and%20background%20breakdown%20in%20SR">CR0L / SR</a> <li><a href="104458?version=1&table=Data%20yields%20and%20background%20breakdown%20in%20CR%2FVR%201L(1Y)">CR1L / VR1L /CR1Y / VR1Y</a> </ul> <b>SR distributions:</b> <ul> <li><a href="104458?version=1&table=Effective mass distribution in SR-4Q-VV">SR-4Q-VV: Effective mass</a> <li><a href="104458?version=1&table=Leading large-$R$ jet mass distribution in SR-4Q-VV">SR-4Q-VV: Leading jet mass</a> <li><a href="104458?version=1&table=Leading large-$R$ jet $D_{2}$ distribution in SR-4Q-VV">SR-4Q-VV: Leading jet $D_{2}$</a> <li><a href="104458?version=1&table=Sub-leading large-$R$ jet mass distribution in SR-4Q-VV">SR-4Q-VV: Sub-leading jet mass</a> <li><a href="104458?version=1&table=Sub-leading large-$R$ jet $D_{2}$ distribution in SR-4Q-VV">SR-4Q-VV: Sub-leading jet $D_{2}$</a> <li><a href="104458?version=1&table=$m_{T2}$ distribution in SR-2B2Q-VZ">SR-2B2Q-VZ: $m_{\textrm{T2}}$</a> <li><a href="104458?version=1&table=bb-tagged jet mass distribution in SR-2B2Q-VZ">SR-2B2Q-VZ: bb-tagged jet mass</a> <li><a href="104458?version=1&table=Effective mass distribution in SR-2B2Q-VZ">SR-2B2Q-VZ: Effective mass</a> <li><a href="104458?version=1&table=$m_{T2}$ distribution in SR-2B2Q-Vh">SR-2B2Q-Vh: $m_{\textrm{T2}}$</a> <li><a href="104458?version=1&table=bb-tagged jet mass distribution in SR-2B2Q-Vh">SR-2B2Q-Vh: bb-tagged jet mass</a> <li><a href="104458?version=1&table=Effective mass distribution in SR-2B2Q-Vh">SR-2B2Q-Vh: Effective mass</a> </ul> <b>Exclusion limit:</b> <ul> <li>$(\tilde{W},~\tilde{B})$-SIM model (C1C1-WW): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) simplified model (C1C1-WW)">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1C1-WW)">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li>Expected limit ($-1\sigma_{\textrm{exp}}$): (No mass point could be excluded) <li><a href="104458?version=1&table=Obs limit on (W~, B~) simplified model (C1C1-WW)">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1C1-WW)">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~, B~) simplified model (C1C1-WW)">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) simplified model (C1N2-WZ)">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1N2-WZ)">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(W~, B~) simplified model (C1N2-WZ)">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) simplified model (C1N2-WZ)">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1N2-WZ)">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~, B~) simplified model (C1N2-WZ)">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{B})$-SIM model (C1N2-Wh): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) simplified model (C1N2-Wh)">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1N2-Wh)">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(W~, B~) simplified model (C1N2-Wh)">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) simplified model (C1N2-Wh)">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~, B~) simplified model (C1N2-Wh)">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~, B~) simplified model (C1N2-Wh)">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=0\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) B(N2->ZN1) = 0%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) B(N2->ZN1) = 0%">Observed limit</a> </ul> <li>$(\tilde{W},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=25\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) B(N2->ZN1) = 25%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) B(N2->ZN1) = 25%">Observed limit</a> </ul> <li>$(\tilde{W},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=50\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) B(N2->ZN1) = 50%">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%25">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(W~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%25">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) B(N2->ZN1) = 50%">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%25">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=75\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) B(N2->ZN1) = 75%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) B(N2->ZN1) = 75%">Observed limit</a> </ul> <li>$(\tilde{W},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=100\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, B~) B(N2->ZN1) = 100%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (W~, B~) B(N2->ZN1) = 100%">Observed limit</a> </ul> <li>$(\tilde{H},~\tilde{B})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})=50\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (H~, B~) B(N2->ZN1) = 50%">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(H~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%25">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li>Expected limit ($-1\sigma_{\textrm{exp}}$): (No mass point could be excluded) <li><a href="104458?version=1&table=Obs limit on (H~, B~) B(N2->ZN1) = 50%">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(H~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(H~%2C%20B~)%20B(N2-%3EZN1)%20%3D%2050%25">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{H})$ model ($\textrm{tan}\beta=10,~\mu>0$): <ul> <li><a href="104458?version=1&table=Exp limit on (W~, H~), tanb = 10, mu>0">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (W~, H~), tanb = 10, mu>0">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{H},~\tilde{W})$ model ($\textrm{tan}\beta=10,~\mu>0$): <ul> <li><a href="104458?version=1&table=Exp limit on (H~, W~), tanb = 10, mu>0">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li>Expected limit ($-1\sigma_{\textrm{exp}}$): (No mass point could be excluded) <li><a href="104458?version=1&table=Obs limit on (H~, W~), tanb = 10, mu>0">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20mu%3E0">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{W},~\tilde{H})$ model ($\textrm{tan}\beta=10$) on ($\mu$,$M_{2}$) plane: <ul> <li><a href="104458?version=1&table=Exp limit on (W~, H~), tanb = 10, M2 vs mu">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (W~, H~), tanb = 10, M2 vs mu">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(W~%2C%20H~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{H},~\tilde{W})$ model ($\textrm{tan}\beta=10$) on ($\mu$,$M_{2}$) plane: <ul> <li><a href="104458?version=1&table=Exp limit on (H~, W~), tanb = 10, M2 vs mu">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li>Expected limit ($-1\sigma_{\textrm{exp}}$): (No mass point could be excluded) <li><a href="104458?version=1&table=Obs limit on (H~, W~), tanb = 10, M2 vs mu">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(H~%2C%20W~)%2C%20tanb%20%3D%2010%2C%20M2%20vs%20mu">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{H},~\tilde{G})$ model: <ul> <li><a href="104458?version=1&table=Exp limit on (H~, G~)">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(H~%2C%20G~)">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(H~%2C%20G~)">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (H~, G~)">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(H~%2C%20G~)">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(H~%2C%20G~)">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{H},~\tilde{a})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{a})=100\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (H~, a~) B(N1->Za~) = 100%">Expected limit</a> <li><a href="104458?version=1&table=Exp%20limit%20(%2B1sig)%20on%20(H~%2C%20a~)%20B(N1-%3EZa~)%20%3D%20100%25">Expected limit ($+1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Exp%20limit%20(-1sig)%20on%20(H~%2C%20a~)%20B(N1-%3EZa~)%20%3D%20100%25">Expected limit ($-1\sigma_{\textrm{exp}}$)</a> <li><a href="104458?version=1&table=Obs limit on (H~, a~) B(N1->Za~) = 100%">Observed limit</a> <li><a href="104458?version=1&table=Obs%20limit%20(%2B1sig)%20on%20(H~%2C%20a~)%20B(N1-%3EZa~)%20%3D%20100%25">Observed limit ($+1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> <li><a href="104458?version=1&table=Obs%20limit%20(-1sig)%20on%20(H~%2C%20a~)%20B(N1-%3EZa~)%20%3D%20100%">Observed limit ($-1\sigma_{\textrm{theory}}^{\textrm{SUSY}}$)</a> </ul> <li>$(\tilde{H},~\tilde{a})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{a})=75\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (H~, a~) B(N1->Za~) = 75%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (H~, a~) B(N1->Za~) = 75%">Observed limit</a> </ul> <li>$(\tilde{H},~\tilde{a})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{a})=50\%$): <ul> <li><a href="104458?version=1&table=Exp limit on (H~, a~) B(N1->Za~) = 50%">Expected limit</a> <li><a href="104458?version=1&table=Obs limit on (H~, a~) B(N1->Za~) = 50%">Observed limit</a> </ul> <li>$(\tilde{H},~\tilde{a})$ model ($\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{a})=25\%$): <ul> <li>Expected limit : (No mass point could be excluded) <li><a href="104458?version=1&table=Obs limit on (H~, a~) B(N1->Za~) = 25%">Observed limit</a> </ul> </ul> <b>EWKino branching ratios:</b> <ul> <li>$(\tilde{W},~\tilde{H})$ model: <ul> <li><a href="104458?version=1&table=B(C2-%3EW%2BN1%2CN2)%20in%20(W~%2C%20H~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow W\tilde{\chi}_{1,2}^{0})$</a> <li><a href="104458?version=1&table=B(C2-%3EZ%2BC1)%20in%20(W~%2C%20H~)%2C%20tanb=10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow Z\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(C2-%3Eh%2BC1)%20in%20(W~%2C%20H~)%2C%20tanb=10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow h\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(N3-%3EW%2BC1)%20in%20(W~%2C%20H~)%2C%20tanb=10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow W\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(N3-%3EZ%2BN1%2CN2)%20in%20(W~%2C%20H~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow Z\tilde{\chi}_{1,2}^{0})$</a> <li><a href="104458?version=1&table=B(N3-%3Eh%2BN1%2CN2)%20in%20(W~%2C%20H~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow h\tilde{\chi}_{1,2}^{0})$</a> </ul> <li>$(\tilde{H},~\tilde{W})$ model: <ul> <li><a href="104458?version=1&table=B(C2-%3EW%2BN1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow W\tilde{\chi}_{1}^{0})$</a> <li><a href="104458?version=1&table=B(C2-%3EZ%2BC1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow Z\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(C2-%3Eh%2BC1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{\pm}\rightarrow h\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(N2-%3EW%2BC1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow W\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(N2-%3EZ%2BN1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})$</a> <li><a href="104458?version=1&table=B(N2-%3Eh%2BN1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{2}^{0}\rightarrow h\tilde{\chi}_{1}^{0})$</a> <li><a href="104458?version=1&table=B(N3-%3EW%2BC1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow W\tilde{\chi}_{1}^{\pm})$</a> <li><a href="104458?version=1&table=B(N3-%3EZ%2BN1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow Z\tilde{\chi}_{1}^{0})$</a> <li><a href="104458?version=1&table=B(N3-%3Eh%2BN1)%20in%20(H~%2C%20W~)%2C%20tanb%3D10%2C%20mu%3E0">$\textrm{B}(\tilde{\chi}_{3}^{0}\rightarrow h\tilde{\chi}_{1}^{0})$</a> </ul> </ul> <b>Cross-section upper limit:</b> <ul> <li>Expected: <ul> <li><a href="104458?version=1&table=Expected cross-section upper limit on C1C1-WW">$(\tilde{W},~\tilde{B})$-SIM model (C1C1-WW)</a> <li><a href="104458?version=1&table=Expected cross-section upper limit on C1N2-WZ">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ)</a> <li><a href="104458?version=1&table=Expected cross-section upper limit on C1N2-Wh">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-Wh)</a> <li><a href="104458?version=1&table=Expected cross-section upper limit on (H~, G~)">$(\tilde{H},~\tilde{G})$ model</a> </ul> <li>Observed: <ul> <li><a href="104458?version=1&table=Observed cross-section upper limit on C1C1-WW">$(\tilde{W},~\tilde{B})$-SIM model (C1C1-WW)</a> <li><a href="104458?version=1&table=Observed cross-section upper limit on C1N2-WZ">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ)</a> <li><a href="104458?version=1&table=Observed cross-section upper limit on C1N2-Wh">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-Wh)</a> <li><a href="104458?version=1&table=Observed cross-section upper limit on (H~, G~)">$(\tilde{H},~\tilde{G})$ model</a> </ul> </ul> <b>Acceptance:</b> <ul> <li><a href="104458?version=1&table=Acceptance of C1C1-WW signals by SR-4Q-VV">$(\tilde{W},~\tilde{B})$-SIM model (C1C1-WW) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Acceptance of C1N2-WZ signals by SR-4Q-VV">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Acceptance of C1N2-WZ signals by SR-2B2Q-VZ">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ) in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Acceptance of C1N2-Wh signals by SR-2B2Q-Vh">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Acceptance of N2N3-ZZ signals by SR-4Q-VV">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-ZZ) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Acceptance of N2N3-ZZ signals by SR-2B2Q-VZ">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-ZZ) in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Acceptance of N2N3-Zh signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-Zh) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Acceptance of N2N3-hh signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-hh) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Acceptance of (H~, G~) signals by SR-4Q-VV">$(\tilde{H},~\tilde{G})$ model in SR-4Q-VV</a> <li><a href="104458?version=1&table=Acceptance of (H~, G~) signals by SR-2B2Q-VZ">$(\tilde{H},~\tilde{G})$ model in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Acceptance of (H~, G~) signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{G})$ model in SR-2B2Q-Vh</a> </ul> <b>Efficiency:</b> <ul> <li><a href="104458?version=1&table=Efficiency of C1C1-WW signals by SR-4Q-VV">$(\tilde{W},~\tilde{B})$-SIM model (C1C1-WW) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Efficiency of C1N2-WZ signals by SR-4Q-VV">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Efficiency of C1N2-WZ signals by SR-2B2Q-VZ">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-WZ) in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Efficiency of C1N2-Wh signals by SR-2B2Q-Vh">$(\tilde{W},~\tilde{B})$-SIM model (C1N2-Wh) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Efficiency of N2N3-ZZ signals by SR-4Q-VV">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-ZZ) in SR-4Q-VV</a> <li><a href="104458?version=1&table=Efficiency of N2N3-ZZ signals by SR-2B2Q-VZ">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-ZZ) in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Efficiency of N2N3-Zh signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-Zh) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Efficiency of N2N3-hh signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{B})$-SIM model (N2N3-hh) in SR-2B2Q-Vh</a> <li><a href="104458?version=1&table=Efficiency of (H~, G~) signals by SR-4Q-VV">$(\tilde{H},~\tilde{G})$ model in SR-4Q-VV</a> <li><a href="104458?version=1&table=Efficiency of (H~, G~) signals by SR-2B2Q-VZ">$(\tilde{H},~\tilde{G})$ model in SR-2B2Q-VZ</a> <li><a href="104458?version=1&table=Efficiency of (H~, G~) signals by SR-2B2Q-Vh">$(\tilde{H},~\tilde{G})$ model in SR-2B2Q-Vh</a> </ul>

Cut flows of some representative signals up to SR-4Q-VV, SR-2B2Q-VZ, and SR-2B2Q-Vh. One signal point from the $(\tilde{W},~\tilde{B})$ simplified models (C1C1-WW, C1N2-WZ, and C1N2-Wh) and $(\tilde{H},~\tilde{G})$ is chosen. The "preliminary event reduction" is a technical selection applied for reducing the sample size, which is fully efficient after the $n_{\textrm{Large}-R~\textrm{jets}}\geq 2$ selection.

The boson-tagging efficiency for jets arising from $W/Z$ bosons decaying into $q\bar{q}$ (signal jets) are shown. The signal jet efficiency of $W_{qq}$/$Z_{qq}$-tagging is evaluated using a sample of pre-selected large-$R$ jets ($p_{\textrm{T}}>200~\textrm{GeV}, |\eta|<2.0, m_{J} > 40~\textrm{GeV}$) in the simulated $(\tilde{W},\tilde{B})$ simplified model signal events with $\Delta m (\tilde{\chi}_{\textrm{heavy}},~\tilde{\chi}_{\textrm{light}}) \ge 400~\textrm{GeV}$. The jets are matched with generator-level $W/Z$-bosons by $\Delta R<1.0$ which decay into $q\bar{q}$. The efficiency correction factors are applied on the signal efficiency rejection for the $W_{qq}$/$Z_{qq}$-tagging. The systematic uncertainty is represented by the hashed bands.

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Measurement of the production cross section of pairs of isolated photons in $pp$ collisions at 13 TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
JHEP 11 (2021) 169, 2021.
Inspire Record 1887997 DOI 10.17182/hepdata.104925

A measurement of prompt photon-pair production in proton-proton collisions at $\sqrt{s}=13$ TeV is presented. The data were recorded by the ATLAS detector at the LHC with an integrated luminosity of 139 fb$^{-1}$. Events with two photons in the well-instrumented region of the detector are selected. The photons are required to be isolated and have a transverse momentum of $p_\mathrm{T,\gamma_{1(2)}} > 40(30)$ GeV for the leading (sub-leading) photon. The differential cross sections as functions of several observables for the diphoton system are measured and compared with theoretical predictions from state-of-the-art Monte Carlo and fixed-order calculations. The QCD predictions from next-to-next-to-leading-order calculations and multi-leg merged calculations are able to describe the measured integrated and differential cross sections within uncertainties, whereas lower-order calculations show significant deviations, demonstrating that higher-order perturbative QCD corrections are crucial for this process. The resummed predictions with parton showers additionally provide an excellent description of the low transverse-momentum regime of the diphoton system.

9 data tables

Differential cross section as a function of $p_{T,\gamma_{1}}$. The table contains the values measured in data and theory predictions from SHERPA, DIPHOX and NNLOJET.

Differential cross section as a function of $p_{T,\gamma_{2}}$. The table contains the values measured in data and theory predictions from SHERPA, DIPHOX and NNLOJET.

Integrated fiducial cross section measured in data and from different predictions.

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Search for exotic decays of the Higgs boson into long-lived particles in pp collisions at $ \sqrt{s} $ = 13 TeV using displaced vertices in the ATLAS inner detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
JHEP 11 (2021) 229, 2021.
Inspire Record 1882568 DOI 10.17182/hepdata.106655

A novel search for exotic decays of the Higgs boson into pairs of long-lived neutral particles, each decaying into a bottom quark pair, is performed using 139 fb$^{-1}$ of $\sqrt{s} = 13$ TeV proton-proton collision data collected with the ATLAS detector at the LHC. Events consistent with the production of a Higgs boson in association with a leptonically decaying $Z$ boson are analysed. Long-lived particle (LLP) decays are reconstructed from inner-detector tracks as displaced vertices with high mass and track multiplicity relative to Standard Model processes. The analysis selection requires the presence of at least two displaced vertices, effectively suppressing Standard Model backgrounds. The residual background contribution is estimated using a data-driven technique. No excess over Standard Model predictions is observed, and upper limits are set on the branching ratio of the Higgs boson to LLPs. Branching ratios above 10% are excluded at 95% confidence level for LLP mean proper lifetimes $c\tau$ as small as 4 mm and as large as 100 mm. For LLP masses below 40 GeV, these results represent the most stringent constraint in this lifetime regime.

7 data tables

95% CL exclusion limits on $\mathcal{B}(H\rightarrow aa \rightarrow b\bar{b}b\bar{b})$ for $m_a = 16$ GeV.

95% CL exclusion limits on $\mathcal{B}(H\rightarrow aa \rightarrow b\bar{b}b\bar{b})$ for $m_a = 25$ GeV.

95% CL exclusion limits on $\mathcal{B}(H\rightarrow aa \rightarrow b\bar{b}b\bar{b})$ for $m_a = 35$ GeV.

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Measurement of the t$ \overline{t} $t$ \overline{t} $ production cross section in $pp$ collisions at $ \sqrt{s} $ = 13 TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, Dale ; et al.
JHEP 11 (2021) 118, 2021.
Inspire Record 1869695 DOI 10.17182/hepdata.105039

A measurement of four-top-quark production using proton-proton collision data at a centre-of-mass energy of 13 TeV collected by the ATLAS detector at the Large Hadron Collider corresponding to an integrated luminosity of 139 fb$^{-1}$ is presented. Events are selected if they contain a single lepton (electron or muon) or an opposite-sign lepton pair, in association with multiple jets. The events are categorised according to the number of jets and how likely these are to contain $b$-hadrons. A multivariate technique is then used to discriminate between signal and background events. The measured four-top-quark production cross section is found to be 26$^{+17}_{-15}$ fb, with a corresponding observed (expected) significance of 1.9 (1.0) standard deviations over the background-only hypothesis. The result is combined with the previous measurement performed by the ATLAS Collaboration in the multilepton final state. The combined four-top-quark production cross section is measured to be 24$^{+7}_{-6}$ fb, with a corresponding observed (expected) signal significance of 4.7 (2.6) standard deviations over the background-only predictions. It is consistent within 2.0 standard deviations with the Standard Model expectation of 12.0$\pm$2.4 fb.

76 data tables

The results of the fitted signal strength $\mu$ in the 1L/2LOS channel

The results of fitted inclusive ${t\bar{t}t\bar{t}}$ cross-section in the 1L/2LOS channel

Ranking of the nuisance parameters included in the fit according to their impact on the signal strength $\mu$. The impact of each nuisance parameter, $\Delta\mu$, is computed by comparing the nominal best-fit value of $\mu$ with the result of the fit when fixing the nuisance parameter to its best-fit value, $\hat{\theta}$, shifted by its pre-fit (post-fit) uncertainties $\pm \Delta\theta$ ($\pm \Delta\hat{\theta}$).