The unfolded dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at forward and midrapidity regions, respectively.

The unfolded dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at backward and midrapidity regions, respectively.

The ratio of unfolded dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with both jets at the midrapidity regions.

The ratio of unfolded dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at midrapidity and forward regions, respectively.

The ratio of unfolded dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at midrapidity and backward regions, respectively.

The ratio of unfolded dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at forward and midrapidity regions, respectively.

The ratio of unfolded dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at backward and midrapidity regions, respectively.

Mean xj ratio, $\langle x_{j} \rangle$, in the range $10-60$ as unfolded for different multiplicities, for different leading and subleading jet combinations for the midrapidity, forward, and backward regions

The reconstructed (raw) dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with both jets at the midrapidity regions.

The reconstructed (raw) dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at midrapidity and forward regions, respectively.

The reconstructed (raw) dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at midrapidity and backward regions, respectively.

The reconstructed (raw) dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at forward and midrapidity regions, respectively.

The reconstructed (raw) dijet balance distribution, $(1/N_{dijet})(dN_{dijet}/dx_{j})$, as function of $x_{j}$ for the $10-60$, $60-120$, $120-185$, $185-250$ and $250-400$ multiplicity ranges with leading and subleading jets at backward and midrapidity regions, respectively.

The ratio of reconstructed (raw) dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with both jets at the midrapidity regions.

The ratio of reconstructed (raw) dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at midrapidity and forward regions, respectively.

The ratio of reconstructed (raw) dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at midrapidity and backward regions, respectively.

The ratio of reconstructed (raw) dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at forward and midrapidity regions, respectively.

The ratio of reconstructed (raw) dijet balance distribution to the lower multiplicity range, $10-60$, as function of $x_{j}$ for the $60-120$, $120-185$, $185-250$ and $250-400$ ranges with leading and subleading jets at backward and midrapidity regions, respectively.

Mean xj ratio, $\langle x_{j} \rangle$, in the range $10-60$ as reconstructed (raw) for different multiplicities, for different leading and subleading jet combinations for the midrapidity, forward, and backward regions

Normalisation factors for the major background processes and ttW ($\Delta \eta < 0$) from the fit using only statistical uncertainties (fixing Nuisance Parameters (NP) to their fitted values) to data in all analysis regions.

Normalisation factors for the major background processes and ttW ($\Delta \eta < 0$) from the fit using using both statistical and systematic uncertainties to data in all analysis regions.

Correlation matrix between the Normalisation Factors in the fit using only statistical uncertainties (fixing Nuisance Parameters (NP) to their fitted values) to data in all analysis regions.

The most relevant systematic uncertainties ranked by their impact on the leptonic charge asymmetry ($A_c^{\ell}$) parameter at reconstructed level. The impact of the uncertainties is shown before and after the combined profile-likelihood fit to data in the signal and control regions. Pulls introduced by the fitting procedure are also shown. The entries shown in bold are the uncertainties of the freely floating background normalisations. ME stands for "matrix element", PS for "parton shower" and JER for "jet energy resolution". The gamma-uncertainties refer to the MC statistical uncertainties in a specific region and bin.

The most relevant systematic uncertainties ranked by their impact on the ttW Normalisation Factor ($\Delta \eta < 0$) parameter at reconstructed level. The impact of the uncertainties is shown before and after the combined profile-likelihood fit to data in the signal and control regions. Pulls introduced by the fitting procedure are also shown. ME stands for "matrix element", PS for "parton shower" and JER for "jet energy resolution". The gamma-uncertainties refer to the MC statistical uncertainties in a specific region and bin.

The predicted and observed numbers of events in the control and signal regions. The predictions are shown before the fit to data. The indicated uncertainties consider statistical as well as all experimental and theoretical systematic uncertainties. Background categories with event yields with a value of 1.0e-6 have a negligible contribution to the region and are manually set to that value.

The predicted and observed numbers of events in the control and signal regions. The predictions are shown after the fit to data. The indicated uncertainties consider statistical as well as all experimental and theoretical systematic uncertainties. Background categories with event yields with a value of 1.0e-6 have a negligible contribution to the region and are manually set to that value.

Correlation matrix of all the parameters including nuisance parameters used in the profile likelihood unfolding fit on $A_{C}$.

Covariances $c_{ij}$ for the highest ranked systematic uncertainties in the energy asymmetry measurement differential in $\theta_j$.

Definition of the fiducial phase space with lepton candidate ($\ell$), hadronic top candidate ($j_h$), leptonic top candidate ($j_l$) and associated jet candidate ($j_a$).

Bounds on individual Wilson coefficients $C($TeV$/\Lambda)^2$ from the energy asymmetry, obtained from a combined fit to its values in all three $\theta_j$ bins.

$\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ $p_T$ for proton-proton collisions with $\sqrt{s} = 8$ TeV. The first uncertainty is statistical and the second represents the systematic uncertainty. The results in neighbouring intervals are correlated.

Covariance matrix of the statistical uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 7$ TeV.

Covariance matrix of the statistical uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 8$ TeV.

Covariance matrix of the systematic uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 7$ TeV.

Covariance matrix of the systematic uncertainty on $\Lambda_{b}^{0}$ production asymmetry in bins of $\Lambda_{b}^{0}$ rapidity for proton-proton collisions with $\sqrt{s} = 8$ TeV.

Measured, normalised distribution of $p_T, y$ from background-subtracted $\Lambda_{b}^{0}$ candidates for $\sqrt{s} = 7$ TeV. Distribution is not corrected for the detector efficiency. Darker areas correspond tp mpre densely populated regions.

Measured, normalised distribution of $p_T, y$ from background-subtracted $\Lambda_{b}^{0}$ candidates for $\sqrt{s} = 8$ TeV. Distribution is not corrected for the detector efficiency. Darker areas correspond tp mpre densely populated regions.

The measured cross-sections for $Wj$ production in four bins of $\eta^{\mu}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Wj$ production in four bins of $\eta^{\rm jet}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Wj$ production in five bins of $p^{\rm jet}_T$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in four bins of $y^Z$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in four bins of $\eta^{\rm jet}$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in bins of $p^{\rm jet}_T$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The measured cross-sections for $Z^0 j$ production in bins of $|\Delta\phi|$. The uncertainties shown are statistical, systematic and due to the luminosity determination.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 1 in bins of $\eta^{\mu}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 1 in bins of $\eta^{\mu}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 5 in bins of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 5 in bins of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ production cross-section measurements presented in Table 3 in bins of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^-j$ production cross-section measurements presented in Table 3 in bins of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 4 as a function of $y^Z$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 5 as a function of $\eta^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 6 as a function of $p_T^{\rm jet}$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $Z^0 j$ production cross-section measurements presented in Table 7 as a function of $|\Delta\phi|$, where the rows and columns correspond to the individual bins.

The correlation matrix for the systematic uncertainties on the $W^+j$ and $W^-j$ production cross-section measurements presented in Table 1 in bins of $\eta^\mu$. The matrix is used to calculate the ratio and asymmetry of $W^+j$ and $W^-j$ production as a function of $\eta^\mu$.

The correlation matrix for the systematic uncertainties on the $W^+j$, $W^-j$ and $Z^0 j$ production cross-section measurements presented in Tables 2 and 5 in bins of $\eta^{\rm jet}$. The matrix is used to calculate the ratios of $Wj$ to $Z^0 j$ production and the charge ratio and asymmetry of $Wj$ production in the total fiducial region.

Unfolded measurements of AFB in each M-|y| bin (e+e-).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for |y|<1 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.25<|y|<1.5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in muon channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for |y|<1 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1<|y|<1.25 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.25|y|<1.5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 1.5<|y|<2.4 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)<0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)<0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)>0 and cos(theta)<0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).

Covariance matrix of Drell-Yan AFB in electron channel for 2.4<|y|<5 for cos(theta)>0 and cos(theta)>0. The covariance matrix is built in 2 dimensions, 14x14(mass) for cos(theta), --, -+, +-, ++ combination where + means positive cos(theta) and - implies the negative cos(theta).