Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{lead.~lep.}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 609 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $p_{\mathrm{T}}^{\mathrm{lead.~jet}}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 1485 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{lead.~jet}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{lead.~jet}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $H_{\mathrm{T}}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 2969 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $H_{\mathrm{T}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $H_{\mathrm{T}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $S_{\mathrm{T}}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 3296 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $S_{\mathrm{T}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $S_{\mathrm{T}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $m_{\mathrm{T},e\mu}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 4130 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $m_{\mathrm{T},e\mu}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $m_{\mathrm{T},e\mu}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $m_{e\mu}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 3519 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $m_{e\mu}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $m_{e\mu}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $p_{\mathrm{T},e\mu}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 1067 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T},e\mu}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T},e\mu}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $\Delta\phi(e,\mu)$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $\Delta\phi(e,\mu)$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $\Delta\phi(e,\mu)$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $y_{e\mu}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $y_{e\mu}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $y_{e\mu}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $\cos\theta^*$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $\cos\theta^*$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $\cos\theta^*$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $n_{\mathrm{jet}}$. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $n_{\mathrm{jet}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $n_{\mathrm{jet}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $m_{e\mu}$ for $p_{\mathrm{T}}^{\mathrm{lead.~jet}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. Overflow events are included in the last bin. The largest observed value is 3519 GeV.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $m_{e\mu}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $m_{e\mu}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $\Delta\phi(e,\mu)$ for $p_{\mathrm{T}}^{\mathrm{lead.~jet}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $\Delta\phi(e,\mu)$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $\Delta\phi(e,\mu)$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $\Delta\phi(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$ for $p_{\mathrm{T}}^{\mathrm{lead.~lep.}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $\Delta\phi(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $\Delta\phi(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $\Delta R(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$ for $p_{\mathrm{T}}^{\mathrm{lead.~lep.}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $\Delta R(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $\Delta R(\mathrm{sub-lead.~lep.}, \mathrm{lead.~jet})$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~lep.}}$ for $p_{\mathrm{T}}^{\mathrm{lead.~lep.}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~lep.}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~lep.}}$

Measured fiducial cross section for $pp\rightarrow W^+W^-$+jets production for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~jet}}$ for $p_{\mathrm{T}}^{\mathrm{lead.~lep.}} > 200$ GeV. The second column contains the results obtained with a fiducial particle phase space that includes a veto on $b$-jets. This alternative result is obtained from the nominal result by the application of bin-wise correction that is calculated as the ratio of the predicted differential cross-section in the nominal analysis phase space and the predicted cross-section for a phase space that includes a veto on events with $b$-jets with $p_{\mathrm{T}} > 20$ GeV. Also shown are the Standard Model predictions for $q\bar{q} \rightarrow WW$, obtained from Sherpa 2.2.2, MadGraph 2.3.3 + Pythia 8.212 using FxFx merging, and Powheg MiNLO + Pythia 8.244. These predictions are supplemented by the Sherpa 2.2.2 + OpenLoops simulation of $gg\rightarrow WW$. Finally, the prediction from MATRIX is given, which includes nNLO QCD and NLO EW corrections to $WW$+jet production. The largest observed value is 19.6.

Correlation matrix of the statistical uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~jet}}$

Correlation matrix of the total uncertainties in the measured fiducial cross section for the observable $p_{\mathrm{T}}^{\mathrm{sub-lead.~lep.}} / p_{\mathrm{T}}^{\mathrm{lead.~jet}}$

Correlation matrix for the unfolded cross section.

Measured fiducial Born-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial Born-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial Born-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial dressed-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial dressed-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial dressed-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial dressed-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Measured fiducial dressed-level cross section for a single leptonic decay channel $\ell'^\pm \nu \ell^+ \ell'^-$ of the $W$ and $Z$ bosons, where $\ell, \ell' = e, \mu$. The relative uncertainties are reported as percentages. The systematic uncertainties are in order of appearance: total uncorrelated systematic and correlated systematics related respectively to unfolding, electrons, muons, jets, reducible and irreducible backgrounds and pileup. The last bin is a cross section for all events above the lower end of the bin.

Correlation matrix for the unfolded cross section.

Results for ALPHAS from fits of the ln R-matching predictions for the fractional 2-jet rate observable (D2), and the mean jet multiplicities (N) for the Durham and Cambridge schemes. The errors shown are total errors and contain all the statistics and systematics.

Results for ALPHAS at the Z0 mass from fits of the O(alphas**2) predicitonsfor the energy evolution of the mean 2-jet cross section <Y23> for the DURHAM a nd JADE schemes. The errors shown are total errors and contain all the statistics and systematics.

Results for ALPHAS at the Z0 mass from fits of the O(alphas**2) predicitonsfor the 3-jet fractions (R3) for the JADE, DURHAM and CAMBRIDGE schemes. The errors shown are total errors and contain all the statistics and systematics.

N-Jet rates from the JADE collaboration at c.m. energy 35 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the JADE collaboration at c.m. energy 44 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 91 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 133 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 161 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 172 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 183 GeV. Jets define using the JADE/E0 alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 189 GeV. Jets define using the JADE/E0 alogrithm.

Mean value of the observable Ynm (the value of YCUT at the boundary betweenn and (n+1=m) jets) as a function of the c.m. energy. Data from JADE and OPAL collaborations. Jets defined using the JADE/E0 alogrithm.

N-Jet rates from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the DURHAM alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the DURHAM alogrithm.

Differential distributions in Ynm (the minimum YCUT for the separation inton and m(=n+1) jets). ) from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the DURHAM alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the DURHAM alogrithm.

Mean value of the observable Ynm (the value of YCUT at the boundary betweenn and (n+1=m) jets) as a function of the c.m. energy. Data from JADE and OPAL collaborations. Jets defined using the DURHAM alogrithm.

N-Jet rates from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the CAMBRIDGE alogrithm.

Differential N-Jet rates from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the JADE collaboration at c.m. energy 35 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the JADE collaboration at c.m. energy 44 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 91 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 133 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 161 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 172 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 183 GeV. Jets defined using the CAMBRIDGE alogrithm.

Mean jet multiplicity as a function of YCUT from the OPAL collaboration at c.m. energy 189 GeV. Jets defined using the CAMBRIDGE alogrithm.

N-Jet rates from JADE collaboration at c.m. energy 35 GeV. Jets define using the CONE alogrithm.

N-Jet rates from JADE collaboration at c.m. energy 35 GeV. Jets define using the CONE alogrithm.

N-Jet rates from JADE collaboration at c.m. energy 44 GeV. Jets define using the CONE alogrithm.

N-Jet rates from JADE collaboration at c.m. energy 44 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 91 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 91 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 133 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 133 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 161 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 161 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 172 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 172 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 183 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 183 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 189 GeV. Jets define using the CONE alogrithm.

N-Jet rates from OPAL collaboration at c.m. energy 189 GeV. Jets define using the CONE alogrithm.

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Target asymmetry for $p\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Target asymmetry for $p\pi^0$ as a function of the $p\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Target asymmetry for $p\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the $\pi^0\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $p\pi^0$ as a function of the $p\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $p\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 950-1100 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 1100-1250 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 950-1100 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 1100-1250 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Double polarization observables for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Double polarization observables for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Data corrected for finite acceptance and resolution of the detector and for intial state photon radiation. No corrections for hadronic effects are applied.. Errors include statistical and systematic uncertainties, added in quadrature.

Data corrected for finite acceptance and resolution of the detector and for intial state photon radiation. No corrections for hadronic effects are applied.. Errors include statistical and systematic uncertainties, added in quadrature.

Data corrected for finite acceptance and resolution of the detector and for intial state photon radiation. No corrections for hadronic effects are applied.. Errors include statistical and systematic uncertainties, added in quadrature.. YCUT is the cut off value used to define the jets in this case using the 'Durham' scheme.

Data corrected for finite acceptance and resolution of the detector and for intial state photon radiation. No corrections for hadronic effects are applied.. Errors include statistical and systematic uncertainties, added in quadrature.. YCUT is the cut off value used to define the jets in this case using the 'Durham' scheme.. D2 is the differential jet rate.

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THE EVENTS WITHOUT BACKWARD PROTONS.

THE EVENTS WITH BACKWARD PROTONS.

THE EVENTS WITHOUT BACKWARD PROTONS.

THE EVENTS WITHT BACKWARD PROTONS.

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