Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH3 at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 and ISR starting scale SpaceShower:pT0Ref = 1 GeV at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH3 and ISR starting scale SudakovCommon:pTmin=0.7 GeV at nucleon-nucleon center-of-mass energy from 38.8 GeV to 13 TeV.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-proton center-of-mass energy 38.8 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-proton center-of-mass energy 8000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-nucleon center-of-mass energy 8160 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters BeamRemnants:PrimordialkThard in Pythia with the underlying-event tune CP5 at proton-nucleon center-of-mass energy 13000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 38.8 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 8000 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-nucleon center-of-mass energy 8160 GeV versus the dilepton mass range of the process.

Tuned intrinsic kT parameters ShowerHandler:IntrinsicPtGaussian in Herwig with the underlying-event tune CH2 at proton-proton center-of-mass energy 13000 GeV versus the dilepton mass range of the process.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters among various generator settings at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Pythia at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 38.8 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 62 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 200 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-anti-proton center-of-mass energy 1800 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-anti-proton center-of-mass energy 1960 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 2760 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 8000 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-nucleon center-of-mass energy 8160 GeV.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 13000 GeV when fitting to the CMS measurement.

Covariance of the data uncertainty contribution to the tuned intrinsic kT parameters between the two generator settings of Herwig at proton-proton center-of-mass energy 13000 GeV when fitting to the LHCb measurement.

Distributions of $m_T$ in the $W^{+}$ signal selection for mu final states for the pp collisions at $\sqrt{s}=$ 13TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to\tau\nu$, and diboson processes.

Distributions of $m_T$ in the $W^{-}$ signal selection for e final states for the pp collisions at $\sqrt{s}=$ 5TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to\tau\nu$, and diboson processes.

Distributions of $m_T$ in the $W^{-}$ signal selection for mu final states for the pp collisions at $\sqrt{s}=$ 5TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to\tau\nu$, and diboson processes.

Distributions of $m_T$ in the $W^{-}$ signal selection for e final states for the pp collisions at $\sqrt{s}=$ 13TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to\tau\nu$, and diboson processes.

Distributions of $m_T$ in the $W^{-}$ signal selection for mu final states for the pp collisions at $\sqrt{s}=$ 13TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to\tau\nu$, and diboson processes.

Distributions of $m_{ll}$ in the Z signal selection for ee final states for the pp collisions at $\sqrt{s}=$ 5TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to l\nu$, and diboson processes.

Distributions of $m_{ll}$ in the Z signal selection for mumu final states for the pp collisions at $\sqrt{s}=$ 5TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to l\nu$, and diboson processes.

Distributions of $m_{ll}$ in the Z signal selection for ee final states for the pp collisions at $\sqrt{s}=$ 13TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to l\nu$, and diboson processes.

Distributions of $m_{ll}$ in the Z signal selection for mumu final states for the pp collisions at $\sqrt{s}=$ 13TeV after the maximum likelihood fit. The EW backgrounds include the contributions from DY, $W\to l\nu$, and diboson processes.

Figure 4 Fiducial cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes at 13TeV

Figure 5 Fiducial cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes at 5.02TeV

Figure 6 Fiducial cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes between 13TeV and 5.02TeV

Figure 7 Total cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes at 13TeV

Figure 8 Total cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes at 5.02TeV

Figure 9 Total cross sections and ratios for $W\to\ell\nu$ and $Z\to\ell\ell$ processes between 13TeV and 5.02TeV

Summary of theoretical predictions of the total inclusive cross sections for W and Z boson production times leptonic branching fractions at ppbar collisions.

Summary of experimental measurements of the total inclusive cross sections for W and Z boson production times leptonic branching fractions at UA1 and UA2.

Summary of experimental measurements of the total inclusive cross sections for W and Z boson production times leptonic branching fractions at D0.

Summary of experimental measurements of the total inclusive cross sections for W and Z boson production times leptonic branching fractions at CDF.

Summary of theoretical predictions of the total inclusive cross sections for W boson production times leptonic branching fractions at pp collisions.

Summary of experimental measurements of the total inclusive cross sections for Z boson production times leptonic branching fractions at pp collisions.

Summary of experimental measurements of the total inclusive cross sections for W and Z boson production times leptonic branching fractions at CMS.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ for $N_{jet} \geq 1$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ for $N_{jet} \geq 2$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ for $N_{jet} \geq 1$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ for $N_{jet} \geq 2$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $p_{T,jet}^{lead}$ region of $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 1$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 2$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 1$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 2$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 1$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 2$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

<b>Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file, containing relative uncertainties as in the paper, is available via the 'Resources' button above.</b> Differential cross sections, $d\sigma/d\Delta\phi$, in the $Q^{2}$ region of $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ for $N_{jet} \geq 3$, as obtained from the data, ARIADNE MC simulations, and perturbative calculations at $\mathcal{O}(\alpha_{s})$ and $\mathcal{O}(\alpha_{s}^{2})$ accuracy. Other details are as in the caption to Table 1.

QED correction factors for inclusive measurement, as estimated with RAPGAP.

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.

The correlation matrix for the inclusive measurement. The azimuthal correlation angle $\Delta\phi$ of each lepton--leading-jet pair was assigned a bin ID between 0 to 59 segmented uniformly from 0 to $\pi$. This bin ID was offset by multiples of 60 based on the jet multiplicity so that the pair from a single jet event, as suggested by the MC simulation, was assigned a value between 0 to 59, dijet events were given 60 to 119, trijet 120 to 179, and four or more jets 180 to 239.

The correlation matrix for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$. Other details are as in the caption to Fig. 13.

The correlation matrix for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$. Other details are as in the caption to Fig. 13.

The correlation matrix for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$. Other details are as in the caption to Fig. 13.

The correlation matrix for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig. 13.

The correlation matrix for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig. 13.

The correlation matrix for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig. 13.

Correlation matrix of the unfolding uncertainty between the inclusive-jet measurement and the previous dijet measurement. Correlations are given in percent.

Summary of different determinations of $\alpha_s(M_Z^2)$ at NNLO or higher order, adapted from PDG, see references therein. The red points are included in the PDG world average. The averages from each sub-field are shown as yellow bands and the world average as a blue band. A recent measurement from CMS using jet cross sections and the latest determination from HERAPDF, which are not yet included in the world average, are shown in green. The current determination, assuming half-correlated and half-uncorrelated scale uncertainties, is shown in black.

Value of the strong coupling $\alpha_s(\mu^2)$ as a function of the scale $\mu$. The data points indicate determinations from measurements that were performed close to the indicated scale. The uncertainties represent the full uncertainty of each determination. All depicted results were obtained at least at NNLO. They are based on data from $e^+e^-$, $ep$ and $pp$ collisions, as well as from $\tau$ lepton decays and quarkonium states. The solid blue line shows the PDG world average. Also shown are the $\alpha_s(M_Z^2)$ values corresponding to each data point.

Double-differential inclusive-jet cross sections using the alternative treatment of QED radiation, as explained in <a href="https://inspirehep.net/literature/2714089">the accompanying thesis</a> (section 9.5.3 and table C.7) and <a href="https://arxiv.org/abs/2405.18136">arXiv:2405.18136</a>. The alternative treatment affects the central value of the cross sections, $\sigma$, the QED correction factors $c_\text{QED}$ and their uncertainty $\delta_\text{QED}$. The table also contains the total uncorrelated uncertainty, computed as the sum of all uncertainties in Table 2 but with the updated values of $\delta_\text{QED}$; the correlated uncertainties, as given in Table 1; and the $Z$ and hadronisation corrections as given in Table 1.

Pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in pp collisions at $\sqrt{s} = 5020~\mathrm{GeV}$.

Pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in Pb-p collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in pp collisions at various LHC energies.

$\langle N_{\rm \gamma} \rangle$ measured within $2.3<\eta_{\rm lab}<3.9$ as a function of collision energy in pp collisions.

Centrality-dependent pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$ (Centrality estimator - CL1).

Centrality-dependent pseudorapidity distribution of inclusive photons measured within $2.3<\eta_{\rm lab}<3.9$ in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$ (Centrality estimator - ZNA).

$\langle N_{\rm \gamma} \rangle$ measured within $2.3<\eta_{\rm lab}<3.9$ as a function of $\langle N_{\rm part} \rangle$ for CL1 centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

$\langle N_{\rm \gamma} \rangle$ measured within $2.3<\eta_{\rm lab}<3.9$ as a function of $\langle N_{\rm part} \rangle$ for ZNA (high-$p_{\rm T}$) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

$\langle N_{\rm \gamma} \rangle$ measured within $2.3<\eta_{\rm lab}<3.9$ as a function of $\langle N_{\rm part} \rangle$ for ZNA (Pb-side) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm part} \rangle$ for CL1 centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm part} \rangle$ for ZNA (high-$p_{\rm T}$) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm part} \rangle$ for ZNA (Pb-side) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm \gamma} \rangle$ for CL1 centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm \gamma} \rangle$ for ZNA (high-$p_{\rm T}$) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Values of $\langle N_{\rm \gamma} \rangle$/$\langle N_{\rm part} \rangle$ as a function of $\langle N_{\rm \gamma} \rangle$ for ZNA (Pb-side) centrality estimator in p-Pb collisions at $\sqrt{s_\mathrm{NN}} = 5020~\mathrm{GeV}$.

Two-particle correlations $c_{1}\{2\}$ versus $Q^2$ with a rapidity separation and high-$p_{\textrm{T}}$ constraint: $\Delta \eta > 2$, $p_{\textrm{T}}$ > 0.5 GeV. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.

Two-particle correlations $c_{2}\{2\}$ versus $Q^2$. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.

Two-particle correlations $c_{2}\{2\}$ versus $Q^2$ with a rapidity separation: $\Delta \eta > 2$. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.

Two-particle correlations $c_{2}\{2\}$ versus $Q^2$ with a high-$p_{\textrm{T}}$ constraint: $p_{\textrm{T}}$ > 0.5 GeV. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.

Two-particle correlations $c_{2}\{2\}$ versus $Q^2$ with a rapidity separation and high-$p_{\textrm{T}}$ constraint: $\Delta \eta > 2$, $p_{\textrm{T}}$ > 0.5 GeV. Photoproduction data are shown at $Q^2$ = 0 GeV$^2$, while NC DIS is for $Q^2$ > 5 GeV$^2$.

Normalised charged-particle multiplicity distribution $dN/dN_{\textrm{ch}}$ in photoproduction.

Normalised charged-particle transverse momentum distribution $dN/dp_{\textrm{T}}$ in photoproduction.

Normalised charged-particle pseudorapidity distribution $dN/d\eta$ in photoproduction.

Two-particle correlations $c_1\{2\}$ versus $|\Delta \eta|$ in photoproduction.

Two-particle correlations $c_2\{2\}$ versus $|\Delta \eta|$ in photoproduction.

Two-particle correlations $c_1\{2\}$ versus $\left< p_{\textrm{T}} \right>$ in photoproduction.

Two-particle correlations $c_2\{2\}$ versus $\left< p_{\textrm{T}} \right>$ in photoproduction.

Four-particle cumulant correlations $c_1\{4\}$ versus $p_{T,1}$ in photoproduction.

Four-particle cumulant correlations $c_2\{4\}$ versus $p_{T,1}$ in photoproduction.

Transverse momentum spectrum of $K^{*0} + \overline{K^{*0}}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $\phi$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $p + \overline{p}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $\Lambda + \overline{\Lambda}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $\Xi^{-} + \overline{\Xi}^{+}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $\Omega^{-} + \overline{\Omega}^{+}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 13 TeV. The normalization uncertainty of $\pm2.6\%$ is excluded.

Transverse momentum spectrum of $K^{0}_{S}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 7 TeV. The normalization uncertainty of $^{+7.3}_{-3.5}\%$ is excluded.

Transverse momentum spectrum of $\Lambda + \overline{\Lambda}$ measured at midrapidity ($|y|<0.5$) in inelastic pp collisions at $\sqrt{s}$ = 7 TeV. The normalization uncertainty of $^{+7.3}_{-3.5}\%$ is excluded.

Ratios of the transverse-momentum spectra of $\pi^{+} + \pi^{-}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $K^{+} + K^{-}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $K^{0}_{S}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $K^{*0} + \overline{K^{*0}}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $\phi$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $p + \overline{p}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $\Lambda + \overline{\Lambda}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $\Xi^{-} + \overline{\Xi}^{+}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

Ratios of the transverse-momentum spectra of $\Omega^{-} + \overline{\Omega}^{+}$ in inelastic pp collisions at $\sqrt{s}=13$ TeV to those for $\sqrt{s}={7}$ TeV. The normalization uncertainty of $^{+10.8}_{-6.3}\%$ is excluded.

$(K^{+} + K^{-})/(\pi^{+}+\pi^{-})$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$(K^{*0} + \overline{K^{*0}})/(\pi^{+}+\pi^{-})$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$K^{0}_{S}/(\pi^{+}+\pi^{-})$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$\phi/(\pi^{+}+\pi^{-})$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$\phi/(\pi^{+}+\pi^{-})$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 7 TeV.

Average transverse momentum of $\pi^{+}+\pi^{-}$ as a function of the center-of-mass energy.

Average transverse momentum of $K^{+} + K^{-}$ as a function of the center-of-mass energy.

Average transverse momentum of $K^{0}_{S}$ as a function of the center-of-mass energy.

Average transverse momentum of $K^{*0} + \overline{K^{*0}}$ as a function of the center-of-mass energy.

Average transverse momentum of $\phi$ as a function of the center-of-mass energy.

Average transverse momentum of $p + \overline{p}$ as a function of the center-of-mass energy.

Average transverse momentum of $\Lambda+\overline{\Lambda}$ as a function of the center-of-mass energy.

Average transverse momentum of $\Xi^{-} + \overline{\Xi}^{+}$ as a function of the center-of-mass energy.

Average transverse momentum of $\Omega^{-} + \overline{\Omega}^{+}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $K^{+} + K^{-}$ to $\pi^{+} + \pi^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $p + \overline{p}$ to $\pi^{+} + \pi^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $\Lambda+\overline{\Lambda}$ to $\pi^{+} + \pi^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $\Xi^{-} + \overline{\Xi}^{+}$ to $\pi^{+} + \pi^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $\Omega^{-} + \overline{\Omega}^{+}$ to $\pi^{+} + \pi^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $\phi$ to $K^{+} + K^{-}$ as a function of the center-of-mass energy.

Ratio of $p_{\rm T}$-integrated yields of $K^{*0} + \overline{K^{*0}}$ to $K^{+} + K^{-}$ as a function of the center-of-mass energy.

$(p + \overline{p})$/($\pi^{+}+\pi^{-}$) particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$(\Lambda + \overline{\Lambda})/K^{0}_{S}$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$(\Omega^{-} + \overline{\Omega}^{+})/\phi$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$(\Xi^{-} + \overline{\Xi}^{+})/\phi$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 13 TeV.

$(\Omega^{-} + \overline{\Omega}^{+})/\phi$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 7 TeV.

$(\Xi^{-} + \overline{\Xi}^{+})/\phi$ particle ratio as a function of $p_{\rm T}$ measured in pp collisions at $\sqrt{s}$ = 7 TeV.

Invariant differential yields of tritons and antitritons in inelastic pp collisions at $\sqrt{s}$ = 7 TeV. The uncertainties of $_{-2.0}^{+5.0}$% due to the extrapolation to inelastic pp collisions are not included in the systematic uncertainties.

Invariant differential yields of $^{3}$He and $^{3}\overline{\text{He}}$ nuclei in inelastic pp collisions at $\sqrt{s}$ = 7 TeV. The uncertainties of $_{-2.0}^{+5.0}$% due to the extrapolation to inelastic pp collisions are not included in the systematic uncertainties.

Coalescence parameter ($B_{2}$) of deuterons and antideuterons in inelastic pp collisions at $\sqrt{s}$ = 0.9 TeV.

Coalescence parameter ($B_{2}$) of deuterons and antideuterons in inelastic pp collisions at $\sqrt{s}$ = 2.76 TeV.

Coalescence parameter ($B_{2}$) of deuterons and antideuterons in inelastic pp collisions at $\sqrt{s}$ = 7 TeV.

Coalescence parameter ($B_{3}$) of tritons and antitritons in inelastic pp collisions at $\sqrt{s}$ = 7 TeV.

Coalescence parameter ($B_{3}$) of $^{3}$He and $^{3}\overline{\text{He}}$ nuclei in inelastic pp collisions at $\sqrt{s}$ = 7 TeV.

Integrated deuteron-to-proton (d/p) and antideuteron-to-antiproton ($\overline{\text{d}}/\overline{\text{p}}$) ratios in inelastic pp collisions as a function of the average charged particle multiplicity for different center-of-mass energies.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{+}$ for NC $e^{+}p$ scattering at $\sqrt{s} = 225$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm NC}^{-}$ for NC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm NC}^{-}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{+}$ for CC $e^{+}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{+}$.

HERA combined reduced cross sections $\sigma_{r,\rm CC}^{-}$ for CC $e^{-}p$ scattering at $\sqrt{s} = 318$ GeV; $\delta_{\rm stat}$, $\delta_{\rm uncor}$ and $\delta_{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta_{\rm rel}$, $\delta_{\gamma p}$, $\delta_{\rm had}$ and $\delta_{1}$ to $\delta_{4}$ are the correlated sources of uncertainties arising from the combination procedure. The uncertainties are quoted in percent relative to $\sigma_{r,\rm CC}^{-}$.

Structure function $xF_3^{\gamma Z}$ for different values of $Q^2$ and $x_{\rm Bj}$.

Structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000$ GeV$^2$ at the scale 1000 GeV$^2$.