$D^+ D^0$~mass distributions for selected candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^+ D^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^+ D^0 \pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Background-subtracted distributions for the multiplicity of tracks reconstructed in the vertex detector for $T_{cc}^+\to D^0 D^0 \pi^+$ signal, low-mass $D^0\bar{D}^0$ and $D^0D^0$ pairs. The binning scheme is chosen to have an approximately uniform distribution for $D^0\bar{D}^0$ pairs. The distributions for the $D^0\bar{D}^0$ and $D^0D^0$ pairs are normalised to the same yields as the $T_{cc}^+\to D^0 D^0 \pi^+$ signal. For better visualisation, the points are slightly displaced from the bin centres. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Background-subtracted transverse momentum spectra for $T_{cc}^+\to D^0 D^0 \pi^+$ signal, low-mass $D^0\bar{D}^0$ and $D^0D^0$ pairs. The binning scheme is chosen to have an approximately uniform distribution for $D^0\bar{D}^0$ pairs. The distributions for the $D^0\bar{D}^0$ and $D^0D^0$ pairs are normalised to the same yields as the $T_{cc}^+\to D^0 D^0 \pi^+$ signal. For better visualisation, the points are slightly displaced from the bin centres. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0 \bar{D}^0$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0 D^0$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $\bar{D}^0D^0\pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^0\pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^-$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Distribution of $D^0 D^0 \pi^+$ mass where the contribution of the non-$D^0$ background has been statistically subtracted by assigning the a weight to every candidate.

Mass distribution for $D^0 \pi^+$ pairs from selected $D^0 D^0 \pi^+$ candidates with a mass below the $D^{*+}D^0$ mass threshold with non-$D^0$ background subtracted by assigning the a weight to every candidate.

$D^0 D^0$~mass distributions for selected candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

$D^+ D^0$~mass distributions for selected candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

Mass distributions for selected $D^+ D^+$ candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

Mass distributions for selected $D^+ D^0 \pi^+$ candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

$\Upsilon(1S)$ production cross-section in $p$Pb and Pb$p$, as a function of $y^*$. The uncertainty is the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ production cross-section in $p$Pb and Pb$p$, as a function of $p_{T}$. The uncertainty is the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ production cross-section in $p$Pb and Pb$p$, as a function of $y^*$. The uncertainty is the sum in quadrature of the statistical and systematic components.

Scaled $pp$ differential cross-section in $p_{T}$ at $\sqrt{s_{NN}}=8.16$ TeV. The first uncertainty is statistical, the second is systematic, which includes the systematic uncertainty from the $pp$ measurement and that estimated by changing the interpolation function.

Scaled $pp$ differential cross-section in $y$ at $\sqrt{s_{NN}}=8.16$ TeV. The first uncertainty is statistical, the second is systematic, which includes the systematic uncertainty from the $pp$ measurement and that estimated by changing the interpolation function.

$\Upsilon(1S)$ nuclear modification factor, $R_{p{\rm Pb}}^{\Upsilon(1S)}$, in $p$Pb and Pb$p$ as a function of $p_{T}$ integrated over $y^*$ in the range $1.5 < y^* < 4.0$ for $p$Pb and $-5.0 < y^* < -2.5$ for Pb$p$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(1S)$ nuclear modification factor, $R_{p{\rm Pb}}^{\Upsilon(1S)}$, in $p$Pb and Pb$p$ as a function of $y^*$ integrated over $p_{T}$ in the range $0 < p_{T} < 25$ GeV$/c$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ nuclear modification factor, $R_{p{\rm Pb}}^{\Upsilon(2S)}$, in $p$Pb and Pb$p$ as a function of $p_{T}$ integrated over $y^*$ in the range $1.5 < y^* < 4.0$ for $p$Pb and $-5.0 < y^* < -2.5$ for Pb$p$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ nuclear modification factor, $R_{p{\rm Pb}}^{\Upsilon(2S)}$, in $p$Pb and Pb$p$ as a function of $y^*$ integrated over $p_{T}$ in the range $0 < p_{T} < 25$ GeV$/c$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(1S)$ forward-to-backward ratio, $R_{{\rm FB}}^{\Upsilon(1S)}$, as a function of $p_{T}$ integrated over $\vert y^* \vert$ in the range $2.5 < \vert y^* \vert < 4.0$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(1S)$ forward-to-backward ratio, $R_{{\rm FB}}^{\Upsilon(1S)}$, as a function of $\vert y^* \vert$ integrated over $p_{T}$ in the range $0 < p_{T} < 25$ GeV/c. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ to $\Upsilon(1S)$ ratio, in $p$Pb and Pb$p$ as a function of $p_{T}$ integrated over $y^*$ in the range $1.5 < y^* < 4.0$ for $p$Pb and $-5.0 < y^* < -2.5$ for Pb$p$. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(2S)$ to $\Upsilon(1S)$ ratio, in $p$Pb and Pb$p$ as a function of $y^*$ integrated over $p_{T}$ in the range $0 < p_{T} < 25$ GeV/c. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

$\Upsilon(1S)$ to non-prompt $J/\psi$, in $p$Pb and Pb$p$ as a function of $y^*$ integrated over $p_{T}$ in the range $0 < p_{T} < 25$ GeV/c. The quoted uncertainties are the sum in quadrature of the statistical and systematic components.

The covariance matrix for the kinematic bins matrix of the $D_s^+$ production asymmetry measured using the combined $\sqrt{s} =7$ and 8 TeV data sets (corresponding to Table 1). The statistical and systematic uncertainties are combined. The kinematic bins are indexed as follows: the three rapidity bins, y, in the range from 2.0 to 4.5 are indexed with $i_y$ ranging from 0 to 2 with the following bin edges: 2.0, 3.0, 3.5, 4.5. The four $p_{\rm T}$ bins in the range from 2.5 to 25.0 GeV/c are indexed with $i_{p_T}$ from 0 to 3 with the following bin edges: 2.5, 4.7, 6.5, 8.5, 25.0 GeV/c. The index of a kinematic bins is then given by: $i_{\rm bin} = 4 \times i_y + i_{p_T}$.

The covariance matrix for the kinematic bins matrix of the $D_s^+$ production asymmetry measured using the $\sqrt{s} =7$ TeV data set (corresponding to Table 2). The statistical and systematic uncertainties are combined. The kinematic bins are indexed as follows: the three rapidity bins, y, in the range from 2.0 to 4.5 are indexed with $i_y$ ranging from 0 to 2 with the following bin edges: 2.0, 3.0, 3.5, 4.5. The four $p_{\rm T}$ bins in the range from 2.5 to 25.0 GeV/c are indexed with $i_{p_T}$ from 0 to 3 with the following bin edges: 2.5, 4.7, 6.5, 8.5, 25.0 GeV/c. The index of a kinematic bins is then given by: $i_{\rm bin} = 4 \times i_y + i_{p_T}$.

The covariance matrix for the kinematic bins matrix of the $D_s^+$ production asymmetry measured using the $\sqrt{s} =8$ TeV data set (corresponding to Table 3). The statistical and systematic uncertainties are combined. The kinematic bins are indexed as follows: the three rapidity bins, y, in the range from 2.0 to 4.5 are indexed with $i_y$ ranging from 0 to 2 with the following bin edges: 2.0, 3.0, 3.5, 4.5. The four $p_{\rm T}$ bins in the range from 2.5 to 25.0 GeV/c are indexed with $i_{p_T}$ from 0 to 3 with the following bin edges: 2.5, 4.7, 6.5, 8.5, 25.0 GeV/c. The index of a kinematic bins is then given by: $i_{\rm bin} = 4 \times i_y + i_{p_T}$.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the inclusive jet multiplicity.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the inclusive jet multiplicity.

Differential cross section for the production of W bosons as a function of H_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of H_T for events with N_jets &ge; 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the H_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the H_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the H_T for events with N_jets &ge; 1.

Differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the W p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the W p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the W p_T for events with N_jets &ge; 1.

Differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet rapidity for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of &Delta; R_jet1,jet2 for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of &Delta; R_jet1,jet2 for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets &ge; 2.

Cross section for the production of W bosons as a function of exclusive jet multiplicity.

Statistical correlation between bins in data for the cross section for the production of W bosons as a function of exclusive jet multiplicity.

Differential cross section for the production of W bosons as a function of the H_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the H_T for events with N_jets &ge; 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the H_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the H_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the H_T for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the W p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the W p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the W p_T for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

Differential cross section for the production of W bosons as a function of the electron &eta; for events with N_jets &ge; 0.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the electron &eta; for events with N_jets &ge; 0.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the electron &eta; for events with N_jets &ge; 0.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the electron &eta; for events with N_jets &ge; 0.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the electron &eta; for events with N_jets &ge; 0.

Differential cross section for the production of W bosons as a function of the electron &eta; for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the electron &eta; for events with N_jets &ge; 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the electron &eta; for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the electron &eta; for events with N_jets &ge; 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the electron &eta; for events with N_jets &ge; 1.

List of experimentally considered systematic uncertainties for the W+jets cross section measurement

Non-perturbative corrections for the cross section for the production of W bosons for different inclusive jet multiplicities.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the inclusive jet multiplicity.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of H_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet rapidity for events with N_jets &ge; 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of &Delta; R_jet1,jet2 for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets &ge; 2.

Non-perturbative corrections for the cross section for the production of W bosons as a function of exclusive jet multiplicity.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the H_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets &ge; 2.

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets &ge; 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets &ge; 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets &ge; 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet rapidity for events with N_jets &ge; 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

Measured $\gamma+c$ fiducial differential cross section as a function of $E_\text{T}^\gamma$ for $|\eta^\gamma|<1.37$.

Measured $\gamma+c$ fiducial differential cross section as a function of $E_\text{T}^\gamma$ for $1.56<|\eta^\gamma|<2.37$.

Measured ratio of the $\gamma+b$ fiducial differential cross section as a function of $E_\text{T}^\gamma$ for $|\eta^\gamma|<1.37$ to that for $1.56<|\eta^\gamma|<2.37$.

Measured ratio of the $\gamma+c$ fiducial differential cross section as a function of $E_\text{T}^\gamma$ for $|\eta^\gamma|<1.37$ to that for $1.56<|\eta^\gamma|<2.37$.

Statistical correlation between the $\gamma+b$ and the $\gamma+c$ cross sections in a given $E_\text{T}^\gamma$ bin and $|\eta^\gamma|$ region. The two cross sections are correlated as the heavy flavour fractions are extracted simultaneously from a template fit, performed in each $E_\text{T}^\gamma$ bin and separately for the two $|\eta^\gamma|$ regions.

Signed shifts of the individual systematic uncertainties on the $\gamma+b$ cross section for $|\eta^\gamma|<1.37$. The numbers after the name of the uncertainty source refer to the individual component in that uncertainty. Each bin of the MC statistical uncertainty is independent of any other bin. The first four components of the photon energy scale uncertainty are specific to this $|\eta^\gamma|$ region and are independent of the components in the other region. The region is indicated as part of their name to indicate the independence between the $|\eta^\gamma|$ regions. The uncertainties on the prompt photon modelling, non-perturbative QCD models and particle-level migration effects are only varied once and not up and down by their nature, but are symmetrised for the final results. Only uncertainties which have at least a 1% variation in at least one bin of the $\gamma+b$ and $\gamma+c$ cross section measurements, including the ratios, are listed. The others are summed in quadrature and listed as a single entry.

Signed shifts of the individual systematic uncertainties on the $\gamma+b$ cross section for $1.56<|\eta^\gamma|<2.37$. The numbers after the name of the uncertainty source refer to the individual component in that uncertainty. Each bin of the MC statistical uncertainty is independent of any other bin. The first four components of the photon energy scale uncertainty are specific to this $|\eta^\gamma|$ region and are independent of the components in the other region. The region is indicated as part of their name to indicate the independence between the $|\eta^\gamma|$ regions. The uncertainties on the prompt photon modelling, non-perturbative QCD models and particle-level migration effects are only varied once and not up and down by their nature, but are symmetrised for the final results. Only uncertainties which have at least a 1% variation in at least one bin of the $\gamma+b$ and $\gamma+c$ cross section measurements, including the ratios, are listed. The others are summed in quadrature and listed as a single entry.

Signed shifts of the individual systematic uncertainties on the $\gamma+c$ cross section for $|\eta^\gamma|<1.37$. The numbers after the name of the uncertainty source refer to the individual component in that uncertainty. Each bin of the MC statistical uncertainty is independent of any other bin. The first four components of the photon energy scale uncertainty are specific to this $|\eta^\gamma|$ region and are independent of the components in the other region. The region is indicated as part of their name to indicate the independence between the $|\eta^\gamma|$ regions. The uncertainties on the prompt photon modelling, non-perturbative QCD models and particle-level migration effects are only varied once and not up and down by their nature, but are symmetrised for the final results. Only uncertainties which have at least a 1% variation in at least one bin of the $\gamma+b$ and $\gamma+c$ cross section measurements, including the ratios, are listed. The others are summed in quadrature and listed as a single entry.

Signed shifts of the individual systematic uncertainties on the $\gamma+c$ cross section for $1.56<|\eta^\gamma|<2.37$. The numbers after the name of the uncertainty source refer to the individual component in that uncertainty. Each bin of the MC statistical uncertainty is independent of any other bin. The first four components of the photon energy scale uncertainty are specific to this $|\eta^\gamma|$ region and are independent of the components in the other region. The region is indicated as part of their name to indicate the independence between the $|\eta^\gamma|$ regions. The uncertainties on the prompt photon modelling, non-perturbative QCD models and particle-level migration effects are only varied once and not up and down by their nature, but are symmetrised for the final results. Only uncertainties which have at least a 1% variation in at least one bin of the $\gamma+b$ and $\gamma+c$ cross section measurements, including the ratios, are listed. The others are summed in quadrature and listed as a single entry.

Detailed breakdown of systematic uncertainties for the measurement in the central rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the measurement in the central rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the measurement in the central rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the measurement in the forward rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the measurement in the forward rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the measurement in the forward rapidity electron channel. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. Correlated systematic uncertainties with the suffix :A should be treated as additive and with the suffix :M should be treated as multiplicative. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level. 'C Dressed' represents the multiplicative correction factor to translate the cross sections to the dressed level with the cone radius of 0.1: SigmaDressed = C Dressed * SigmaBorn.

Detailed breakdown of systematic uncertainties for the combined measurement of muon, electron central and electron central-forward channels. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement of muon, electron central and electron central-forward channels. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement of muon, electron central and electron central-forward channels. Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS (differential in y, Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS (differential in y, Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS (differential in y, Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS and y (differential in Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS and y (differential in Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Detailed breakdown of systematic uncertainties for the combined measurement, integerated in cos theta_CS and y (differential in Mll) Common systematic uncertainty on the luminosity measurment of 1.8% is not included. The source 'sys,uncor' represents bin-to-bin uncorrelated systematic uncertainty. The cross sections are given at the Born QED level.

Powheg based prediction for AFB in the central-central fiducial phase space, as reported in Fig 16 of the paper. Powheg prediction is corrected to NNLO QCD and NLO EWK, as described in the paper. PDF uncertainties are computed using CT10 PDF set scaled to 68%.

Powheg based prediction for AFB in the central-fiducial fiducial phase space, as reported in Fig 17 of the paper. Powheg prediction is corrected to NNLO QCD and NLO EWK, as described in the paper. PDF uncertainties are computed using CT10 PDF set scaled to 68%.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the helicity frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the helicity frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\phi}$ measured in the helicity frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\theta$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\phi$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\theta$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\phi$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\theta$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\phi$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\theta$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_\phi$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(1S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_\theta$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(1S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(2S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

Values of the polarization parameter $\lambda_\theta$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(2S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Collins-Soper frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=7\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\theta}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The polarization parameter $\lambda_{\theta\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

The polarization parameter $\lambda_{\phi}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second is systematic.

The frame-invariant polarization parameter $\tilde{\lambda}$ measured in the Gottfried-Jackson frame for the $\Upsilon(3S)$ state in different bins of $p_{T}^{\Upsilon}$ and three rapidity ranges using data collected at $\sqrt{s}=8\,\mathrm{TeV}$. The first uncertainty is statistical and the second represents the systematic uncertainty.

Values of the polarization parameter $\lambda_\theta$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=7$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\theta\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the polarization parameter $\lambda_{\phi}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

Values of the frame-invariant polarization parameter $\tilde{\lambda}$ measured in the helicity(SH), Collins-Soper(CS) and Gottfried-Jackson(TH) frames for the $\Upsilon(3S)$ produced at $\sqrt{s}=8$ TeV in the rapidity range $2.2 < y^\Upsilon < 4.5$ and different bins of $p_{T}^{\Upsilon}$. The first quoted uncertainty is statistical and the second is systematic.

rapidity bin 1.5 < |Y| < 2.0 anti-kt R=0.6

rapidity bin 2.0 < |Y| < 2.5 anti-kt R=0.6

rapidity bin 2.5 < |Y| < 3.0 anti-kt R=0.6

rapidity bin 0 < |Y| < 0.5 anti-kt R=0.4

rapidity bin 0.5 < |Y| < 1.0 anti-kt R=0.4

rapidity bin 1.0 < |Y| < 1.5 anti-kt R=0.4

rapidity bin 1.5 < |Y| < 2.0 anti-kt R=0.4

rapidity bin 2.0 < |Y| < 2.5 anti-kt R=0.4

rapidity bin 2.5 < |Y| < 3.0 anti-kt R=0.4