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 and the sum of all uncorrelated uncertainties $\delta_\text{uncor}$. All other uncertainties and corrections are identical to Tables 1 and 2 and should be taken from there.

Figure 2a, full-event

Figure 2b, subevent

Figure 3

Figure 4

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $-1.0 < y_b < 0.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $-1.0 < y_b < 0.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $-1.0 < y_b < 0.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $0.0 < y_b < 1.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $0.0 < y_b < 1.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $0.0 < y_b < 1.0$ and $2.0 < y^* < 4.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $1.0 < y_b < 2.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $1.0 < y_b < 2.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $1.0 < y_b < 2.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $2.0 < y_b < 3.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $2.0 < y_b < 3.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_p$ for $3.0 < y_b < 4.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-3.0 < y_b < -2.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-2.0 < y_b < -1.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-2.0 < y_b < -1.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-1.0 < y_b < 0.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-1.0 < y_b < 0.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $-1.0 < y_b < 0.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $0.0 < y_b < 1.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $0.0 < y_b < 1.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $0.0 < y_b < 1.0$ and $2.0 < y^* < 4.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $1.0 < y_b < 2.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $1.0 < y_b < 2.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $1.0 < y_b < 2.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $2.0 < y_b < 3.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $2.0 < y_b < 3.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_{Pb}$ for $3.0 < y_b < 4.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-3.0 < y_b < -2.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-2.0 < y_b < -1.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-2.0 < y_b < -1.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-1.0 < y_b < 0.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-1.0 < y_b < 0.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $-1.0 < y_b < 0.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $0.0 < y_b < 1.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $0.0 < y_b < 1.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $0.0 < y_b < 1.0$ and $2.0 < y^* < 4.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $1.0 < y_b < 2.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $1.0 < y_b < 2.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $1.0 < y_b < 2.0$ and $2.0 < y^* < 3.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $2.0 < y_b < 3.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $2.0 < y_b < 3.0$ and $1.0 < y^* < 2.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$R_\text{CP}$ plotted as a function of approximated $x_\mathrm{F}$ for $3.0 < y_b < 4.0$ and $0.0 < y^* < 1.0$, constructed using $\langle y_{\text{b}} \rangle$ and $\langle y^{*} \rangle$. The proton-going direction is defined by $y_{\text{b}} > 0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $0.0 < y^{*} < 1.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $1.0 < y^{*} < 2.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $2.0 < y^{*} < 4.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $40.0 < p_{\text{T,Avg}} \text{ [GeV]} < 49.6$ and $2.0 < y^{*} < 4.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $2.0 < y^{*} < 4.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $49.6 < p_{\text{T,Avg}} \text{ [GeV]} < 61.4$ and $2.0 < y^{*} < 4.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $0-10$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $2.0 < y^{*} < 4.0$.

$\langle T_{\text{AB}} \rangle$ normalized per-event dijet yields in $60-90$% collisions as a function of $\langle y_{\text{b}} \rangle$ for $61.4 < p_{\text{T,Avg}} \text{ [GeV]} < 76.1$ and $2.0 < y^{*} < 4.0$.

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 19$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 19$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 19$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 19$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 19$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\bar{p}$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 30$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\bar{p}$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 40$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\bar{p}$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 75$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 150$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\bar{p}$ at 150$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 150$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 150$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^+$ at 150$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $K^-$ at 150$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 13$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 13$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 19$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 19$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $\pi^+$ at 150$A$ GeV/c

Rapidity ($y$) spectra of $\pi^-$ at 150$A$ GeV/c

The parameters of double-Gaussian fit to $\pi^+$ rapidity spectra

The parameters of double-Gaussian fit to $\pi^-$ rapidity spectra

Rapidity spectrum of negatively charged pions obtained with $h^-$ method in central Ar+Sc collisions at 30$A$ GeV/$c$ The results of $h^-$ analysis of Ar+Sc collisions used for comparison are published in reference [17]

Rapidity spectrum of negatively charged pions obtained with $h^-$ method in central Ar+Sc collisions at 150$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 13$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 19$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 30$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 40$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 75$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^+$ at 150$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 13$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 19$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 30$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 40$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 75$A$ GeV/$c$

Rapidity dependence of the inverse slope parameter $T$ fitted to $p_T$ spectrum of $K^-$ at 150$A$ GeV/$c$

Rapidity ($y$) spectra of $K^+$ at 13$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 13$A$ GeV/c

Rapidity ($y$) spectra of $K^+$ at 19$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 19$A$ GeV/c

Rapidity ($y$) spectra of $K^+$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $K^+$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $K^+$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $K^+$ at 150$A$ GeV/c

Rapidity ($y$) spectra of $K^-$ at 150$A$ GeV/c

The parameters of double-Gaussian fit to $K^+$ rapidity spectra

The parameters of double-Gaussian fit to $K^-$ rapidity spectra

Rapidity ($y$) spectra of $p$ at 13$A$ GeV/c

Rapidity ($y$) spectra of $p$ at 19$A$ GeV/c

Rapidity ($y$) spectra of $p$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $\bar{p}$ at 30$A$ GeV/c

Rapidity ($y$) spectra of $p$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $\bar{p}$ at 40$A$ GeV/c

Rapidity ($y$) spectra of $p$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $\bar{p}$ at 75$A$ GeV/c

Rapidity ($y$) spectra of $p$ at 150$A$ GeV/c

Rapidity ($y$) spectra of $\bar{p}$ at 150$A$ GeV/c

The parameters of double-Gaussian fit to $\bar{p}$ rapidity spectra

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^+)$ of $p_T$ spectra at mid-rapidity of positively charged $K$ mesons for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the inverse slope parameter $T(K^-)$ of $p_T$ spectra at mid-rapidity of negatively charged $K$ mesons for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^+/\pi^+$ ratio at mid-rapidity for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $K^-/\pi^-$ ratio at mid-rapidity for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^+\rangle/\langle\pi^+\rangle$ mean multiplicity ratio for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for ArSc. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for BeBe. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for ppWorld. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for pp. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for AuAu. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

The energy dependence of the $\langle K^-\rangle/\langle\pi^-\rangle$ mean multiplicity ratio for PbPb. The data used for comparison, other than Ar+Sc, are published in references [2-4,13,17,53-64]

Proton rapidity spectra in central Be+Be collisions at $19A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Be+Be collisions at $30A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Be+Be collisions at $40A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Be+Be collisions at $75A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Be+Be collisions at $150A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in inelastic p+p collisions at $20$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in inelastic p+p collisions at $30$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in inelastic p+p collisions at $40$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in inelastic p+p collisions at $75$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in inelastic p+p collisions at $150$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Pb+Pb collisions at $20A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Pb+Pb collisions at $30A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Pb+Pb collisions at $40A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Pb+Pb collisions at $80A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

Proton rapidity spectra in central Pb+Pb collisions at $150A$ GeV/$c$ beam momentum. The data used for comparison, other than Ar+Sc, are published in references [2,13,17]

System size dependence of the $K^+/\pi^+$ ratio at mid-rapidity in $central$ nucleus-nucleus and inelastic $p$+$p$ interactions obtained at beam momenta of $\approx 150A$ GeV/$c$. The data used for comparison, other than Ar+Sc, are published in references [2,13,17,53].

Predicted and observed yields as a function of $m_{4\ell}$ in the VBS-Suppressed region. Overflow events are included in the last bin of the distribution.

Relative systematic uncertainties in the unfolded differential cross section for 4ljj production in the VBS-Enhanced region as a function of m_{jj}

Relative systematic uncertainties in the unfolded differential cross section for 4ljj production in the VBS-Enhanced region as a function of m_{4\ell}

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $m_{jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $m_{jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $m_{4\ell}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $m_{4\ell}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $ p_{T,4l}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $ p_{T,4l}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $\Delta\phi_{jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $\Delta\phi_{jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $|\Delta y_{jj}|$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $|\Delta y_{jj}|$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $cos(\theta^{*}_{12})$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $cos(\theta^{*}_{12})$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $cos(\theta^{*}_{34})$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $cos(\theta^{*}_{34})$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $p_{T,jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $p_{T,jj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $p_{T,4ljj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $p_{T,4ljj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Enhanced region as a function of $S_{T,4ljj}$. Overflow events are included in the last bin of the distribution.

Differential cross-sections for inclusive 4ljj production in the VBS-Suppressed region as a function of $S_{T,4ljj}$. Overflow events are included in the last bin of the distribution.

Statistical correlation between different bins of the unfolded cross-section for all the measured observables in the VBS-Enhanced region.

Statistical correlation between different bins of the unfolded cross-section for all the measured observables in the VBS-Suppressed region.

Table with post-fit yields in the four regions used in the measurement. The correlations of the nuisance parameters, as obtained by the fit, are considered for the calculation of the uncertainties.

Ratio of the $t\bar{t}$ to the $Z$-boson cross section compared to the predictions for several sets of parton distribution functions. The total cross section for $t\bar{t}$ production and the fiducial cross section for $Z$-boson production are used. The uncertainty on the prediction represents the PDF+$\alpha_{s}$ variations.

Nuisance parameter ranking plot for the $t\bar{t}$ signal-strength. Only the 10 most important nuisance parameters are shown. The impact of each nuisance parameter on the measured cross section, is defined as the shift induced in measured cross-section as the nuisance parameter is shifted by its pre-fit and post-fit uncertainties from its nominal best-fit value and then fixed while all other nuisance parameters profiled.

Nuisance parameter ranking plot for the ratio of the $t\bar{t}$ and $Z$-boson signal-strengths. Only the 10 most important nuisance parameters are shown. The impact of each nuisance parameter on the measured ratio, is defined as the shift induced in measured ratio as the nuisance parameter is shifted by its pre-fit and post-fit uncertainties from its nominal best-fit value and then fixed while all other nuisance parameters profiled.

Nuisance parameter ranking plot for the $Z$-boson signal-strength. Only the 10 most important nuisance parameters are shown. The impact of each nuisance parameter on the measured cross section, is defined as the shift induced in measured cross-section as the nuisance parameter is shifted by its pre-fit and post-fit uncertainties from its nominal best-fit value and then fixed while all other nuisance parameters profiled.

Distribution (events/100 GeV) of the reconstructed $m_{tb}$ for data and backgrounds in the 0-lepton channel's the signal region 3 after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Distribution (events/100 GeV) of the reconstructed $m_{tb}$ for data and backgrounds in the 0-lepton channel's validation region before the fit to data. The systematics uncertainty is shown for the pre-fit background sum, including the background statistical uncertainty. The individual background components are obtained before the fit, too. There is also the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 2j1b signal region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 3j1b signal region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 2j2b signal region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 3j2b signal region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 2j1b control region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 3j1b control region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 2j1b validation region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Reconstructed $m_{tb}$ distributions (events/50 GeV) for data and backgrounds in the 1-lepton channel's 3j1b validation region after the background-only fit to data. The systematics uncertainty is shown for the post-fit background sum, including the background statistical uncertainty. The individual background components are obtained after the fit, too. There are also the pre-fit background sum and the expected signal distribution. The distribution of the $W^{\prime}$ boson signal for a mass of 3 TeV is normalised to the predicted cross-section. The last bin in each distribution includes overflow.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and left-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=0.5. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and left-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=1.0. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and left-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=2.0. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and right-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=0.5. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and right-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=1.0. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

Observed and expected 95% CL limits on the cross-section times branching ratio for the production of a $W^{\prime}$ boson with decay to tb and right-handed couplings as a function of the mass of the $W^{\prime}$ boson and a coupling value of $g^{\prime}/g$=2.0. The observed and expected limits are derived using a linear interpolation between simulated signal mass hypotheses. The uncertainty on the theory prediction includes components from factorisation and renormalisation scales, PDFs, the strong coupling constant, and the top-quark mass.

95% CL limits on the coupling value ($g^{\prime}/g$) and the $W^{\prime}$-boson mass for left-handed $W^{\prime}$-boson couplings. The area above the line is excluded.

95% CL limits on the coupling value ($g^{\prime}/g$) and the $W^{\prime}$-boson mass for right-handed $W^{\prime}$-boson couplings. The area above the line is excluded.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=1$.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=0.5$.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=2$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=1$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=0.5$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with left-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=2$.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=1$.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=0.5$.

The product of fiducial acceptance and selection efficiency for the three signal regions of the 0-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=2$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=1$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=0.5$.

The product of fiducial acceptance and selection efficiency for the four signal regions of the 1-lepton channel as a function of the mass of the $W^{\prime}$ boson with right-handed chirality. The $W^{\prime}$ boson coupling strength is set to $g^{\prime}/g=2$.

Postfit distributions of $S_\mathrm{T}^\mathrm{MET}$ in the $\mathrm{e}\mu$ channel of the $\geq$1b category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width. The last bin includes the overflow.

Postfit distributions of $S_\mathrm{T}^\mathrm{MET}$ in the $\ell\tau_\mathrm{h}$ channel of the 0b category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width. The last bin includes the overflow.

Postfit distributions of $S_\mathrm{T}^\mathrm{MET}$ in the $\ell\tau_\mathrm{h}$ channel of the $\geq$1b category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width. The last bin includes the overflow.

Postfit distributions of $S_\mathrm{T}^\mathrm{MET}$ in the $\tau_\mathrm{h}\tau_\mathrm{h}$ channel of the 0b category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width. The last bin includes the overflow.

Postfit distributions of $S_\mathrm{T}^\mathrm{MET}$ in the $\tau_\mathrm{h}\tau_\mathrm{h}$ channel of the $\geq$1b category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width. The last bin includes the overflow.

Postfit distributions of $\chi$ in the $\mathrm{e}\mu$ channel of the 0j, $400 < m_\mathrm{vis} < 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Postfit distributions of $\chi$ in the $\mathrm{e}\mu$ channel of the 0j, $m_\mathrm{vis} > 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Postfit distributions of $\chi$ in the $\ell\tau_\mathrm{h}$ channel of the 0j, $400 < m_\mathrm{vis} < 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Postfit distributions of $\chi$ in the $\ell\tau_\mathrm{h}$ channel of the 0j, $m_\mathrm{vis} > 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Postfit distributions of $\chi$ in the $\tau_\mathrm{h}\tau_\mathrm{h}$ channel of the 0j, $400 < m_\mathrm{vis} < 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Postfit distributions of $\chi$ in the $\tau_\mathrm{h}\tau_\mathrm{h}$ channel of the 0j, $m_\mathrm{vis} > 600\,\mathrm{GeV}$ category for the combined 2016-2018 data set after a simultaneous fit of the background and vector LQ signal to the data. The number of events in each bin are divided by the respective bin width.

Exclusion limits on the total cross section of a scalar LQ as a function of LQ mass under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Exclusion limits on the total cross section of a vector LQ as a function of LQ mass under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Exclusion limits on the mass of a scalar LQ as a function of the coupling strength $\lambda$ under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Exclusion limits on the mass of a vector LQ as a function of the coupling strength $\lambda$ under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Exclusion limits on the coupling strength $\lambda$ of a scalar LQ as a function of the LQ mass under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Exclusion limits on the coupling strength $\lambda$ of a vector LQ as a function of the LQ mass under the assumption of exclusive LQ couplings to b quarks and $\tau$ leptons.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 1.5$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 1.5$.

Expected upper limit at 95% CL on the coupling strength $\lambda$ of a scalar LQ to b quarks and $\tau$ leptons.

Expected upper limit at 95% CL on the coupling strength $\lambda$ of a scalar LQ to light-flavor quarks and $\tau$ leptons.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 1.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 2.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 3.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 0.5$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 1.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 2.0$.

Observed and expected distributions of the jet multiplicity in the e+jet btag control region.

Observed and expected distributions of the jet multiplicity in the $\mu$+jet btag control region.