Fig. 6b: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Away and Toward regions after the subtraction of Number density $N_{\rm ch}$ and $\Sigma p_{\rm T}$ distributions in the transverse region for p-Pb collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. 7a: $<p_{\rm T}>$ as a function of $p_{\rm T}^{\rm trig}$ in Toward (left) and Away (right) regions after the subtraction of transverse region for pp collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. 7b: $<p_{\rm T}>$ as a function of $p_{\rm T}^{\rm trig}$ in Toward (left) and Away (right) regions after the subtraction of transverse region for p-Pb collisions for $p_{\rm T} >$ 0.5 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A1: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 0.15 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A2: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 1.0 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A3: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 0.15 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Fig. A4: Number density $N_{\rm ch}$ (left) and $\Sigma p_{\rm T}$ (right) distributions as a function of $p_{\rm T}^{\rm trig}$ in Transverse, Away, and Toward regions for $p_{\rm T} >$ 1.0 GeV/$c$. The shaded areas and the error bars around the data points represent the systematic and statistical uncertainties, respectively.

Mean $p_T$ values of the $\Upsilon(1$S$)$, $\Upsilon(2$S$)$, and $\Upsilon(3$S$)$ states with $p_T\,>\,0\,GeV$ and $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $0<p_T<5\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $5<p_T<7\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $7<p_T<9\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $9<p_T<11\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $11<p_T<15\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $15<p_T<20\,$GeV range

Ratio $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $20<p_T<50\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $0<p_T<5\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $5<p_T<7\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $7<p_T<9\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $9<p_T<11\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $11<p_T<15\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $15<p_T<20\,$GeV range

Ratio $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ with $|y|\,<\,1.2$ as a function of track multiplicity $N_{track}$ in $20<p_T<50\,$GeV range

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of "forward" track multiplicity $N_{track}^{\Delta\phi}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$. Forward tracks are those with momentum direction in $\Delta\phi\,<\,\pi/3$ w.r.t. the $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of "transverse" track multiplicity $N_{track}^{\Delta\phi}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$. Transverse tracks are those with momentum direction in $\pi/3\,<\,\Delta\phi\,<\,2\pi/3$ w.r.t. the $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of "backward" track multiplicity $N_{track}^{\Delta\phi}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$. Backward tracks are those with momentum direction in $\Delta\phi\,>\,2\pi/3$ w.r.t. the $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$ and $N^{\Delta R}_{track}\,=\,0$ charged particles produced in $\Delta R\,<\,0.5$ cone around $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$ and $N^{\Delta R}_{track}\,=\,1$ charged particles produced in $\Delta R\,<\,0.5$ cone around $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$ and $N^{\Delta R}_{track}\,=\,2$ charged particles produced in $\Delta R\,<\,0.5$ cone around $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$ and $N^{\Delta R}_{track}\,>\,2$ charged particles produced in $\Delta R\,<\,0.5$ cone around $\Upsilon(n$S$)$ momentum direction.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ in transverse sphericity bin $0.00\,<\,S_T\,<\,0.55$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ in transverse sphericity bin $0.55\,<\,S_T\,<\,0.70$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ in transverse sphericity bin $0.70\,<\,S_T\,<\,0.85$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$.

Ratios $\Upsilon(2$S$)\,/\,\Upsilon(1$S$)$ and $\Upsilon(3$S$)\,/\,\Upsilon(1$S$)$ as functions of track multiplicity $N_{track}$ in transverse sphericity bin $0.85\,<\,S_T\,<\,1.00$ for $\Upsilon(n$S$)$ states with $p_T\,>\,7\,GeV$ and $|y|\,<\,1.2$.

Efficiency-corrected multiplicity bins used in the $\Upsilon(n$S$)$ ratio analysis and the corresponding mean number of charged particle tracks.

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.

Mean transverse momentum of inclusive J/psi as a function of the relative charged-particle pseudorapidity density at backward rapidity -4.46 < y_cms < -2.96 (Pb-going direction).

Relative mean transverse momentum of inclusive J/psi as a function of the relative charged-particle pseudorapidity density at forward rapidity 2.03 < y_cms < 3.53 (p-going direction).

Mean transverse momentum of inclusive J/psi as a function of the relative charged-particle pseudorapidity density at backward rapidity -4.46 < y_cms < -2.96 (Pb-going direction).

$^3\overline{\mathrm{H}} /\,^3\mathrm{H}$ ratio in $\mathrm{INEL}>0$ p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Transverse momentum spectra obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for $\mathrm{INEL}>0$ events in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Transverse momentum spectra obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 0$-$10% multiplicity class in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Transverse momentum spectra obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 10$-$20% multiplicity class in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Transverse momentum spectra obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 20$-$40% multiplicity class in p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Transverse momentum spectra obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 40$-$100% multiplicity class in p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Mean transverse momentum obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ as a function of the mean charged-particle multiplicity density in p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV

$(^3\mathrm{He} +\,^3\overline{\mathrm{He}}) / (\mathrm{p} + \overline{\mathrm{p}})$ ratio in p$-$Pb as a function of the mean charged-particle multiplicity density

$(^3\mathrm{H} +\,^3\overline{\mathrm{H}}) / (\mathrm{p} + \overline{\mathrm{p}})$ ratio in p$-$Pb as a function of the mean charged-particle multiplicity density

Coalescence parameter $B_3$ calculated using the average of $\mathrm{INEL}>0$ $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ yields

Coalescence parameter $B_3$ calculated using the average of $\mathrm{INEL}>0$ $^3\mathrm{H}$ and $^3\overline{\mathrm{H}}$ yields

Ratio of (anti-)$^3$H and (anti-)$^3$He yields

Coalescence parameter $B_3$ calculated using the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for $\mathrm{INEL}>0$ events in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Coalescence parameter $B_3$ calculated using the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 0$-$10% multiplicity class in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Coalescence parameter $B_3$ calculated using the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 10$-$20% multiplicity class in p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Coalescence parameter $B_3$ calculated using the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 20$-$40% multiplicity class in p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Coalescence parameter $B_3$ calculated using the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for events in 40$-$100% multiplicity class in p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Integrated production yield obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ corrected for the spin degeneracy factor $(2J +1)$ for minimum-bias p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Upper limit on the integrated production yield of $^4\overline{\mathrm{He}}$ at 90$\%$ confidence level corrected for the spin degeneracy factor $(2J +1)$ for minimum-bias p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Integrated production yield obtained from the average of $^3\mathrm{He}$ and $^3\overline{\mathrm{He}}$ for the different multiplicity classes and $\mathrm{INEL} > 0$ p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

Integrated production yield obtained from the average of $^3\mathrm{H}$ and $^3\overline{\mathrm{H}}$ for $\mathrm{INEL} > 0$ p--Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$

The $p_{T}$ spectra of $\pi^{-}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

The $p_{T}$ spectra of $K^{+}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

The $p_{T}$ spectra of $K^{-}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

Average $p_{T}$ of $\pi^{+}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $\pi^{-}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $K^{+}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $K^{-}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$= 14.5 GeV.

Average $p_{T}$ of p as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of p-bar as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $\pi^{+}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $\pi^{-}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $K^{+}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $K^{-}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of proton scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of p-bar scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Kinetic freeze-out temperature as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Velocity as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

The event plane resolution calculated for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV as a function of centrality.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 10-20% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 20-30% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 30-40% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of transverse momentum $p_{T}$ for six centrality classes, obtained using the $\eta$-sub event plane method in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$-integrated v2($\eta$) for six centrality classes, obtained using the $\eta$-sub event plane method in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

The ratio inclusive charged particle elliptic flow v2 over root-mean-square participant eccentricity $Epart_{2}$ at mid-pseudorapidity as a function of $p_{T}$ for 10–20%, 30–40%, and 50–60% collision centralities in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Summary of centrality bins, average number of participants $N_{part}$, number of binary collisions $N_{coll}$, reaction plane eccentricity eRP, participant eccentricity epart, root-mean-square of the participant eccentricity epart{2}, and transverse area $S_{part}$ from MC Glauber simulations at $\sqrt{s_{NN}}$ = 14.5 GeV.

The inclusive charged particle elliptic flow v2($\eta$-sub) versus pseudorapidity $\eta$ at mid-pseudorapidity for $\sqrt{s_{NN}}$ = 14.5 GeV.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 27.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 39.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 27.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 39.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 – 39 GeV for 30-60% centrality intervals.

$\eta$ distributions of fake tracks in minimum-bias collision events and chargino tracks in 3 TeV wino signal events. The normalization is arbitrary. The details of fake track reconstruction is described in Sect. 5.2. The fake-track distribution is shown only within the range $|\eta|<2$.

Probability of finding a fake track in an event as a function of the average number of $pp$ interactions per bunch crossing ($\left<\mu\right>$). The probabilities for the tracks reconstructed with $N_{\mathrm{layer}}^{\mathrm{hit}}=4$ (5) are shown by the open (filled) markers, and they are presented separately for the three tracker layouts, the default layout ($\#$1) in black circles, the alternative layouts of $\#$2 in magenta squares and $\#$3 in red upward triangles. The probabilities for the layout $\#$2 are shown only at $\left<\mu\right>=200$. The estimate from the mixed sample of non-diffractive and diffractive events for the default layout is shown by the blue diamond for comparison purpose.

Expected discovery significance for the wino model with 30 ab$^{-1}$ with the requirement of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$. The grey (red) bands show the significance using the default (alternative) layout $\#$1 ($\#$3). The difference between the solid and hatched bands corresponds to the different pileup conditions of $\left<\mu\right>=200$ and 500. The band width corresponds to the significance variation due to the two models assumed for soft QCD processes.

Expected discovery significance for the higgsino model with 30 ab$^{-1}$ with the requirement of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$. The grey (red) bands show the significance using the default (alternative) layout $\#$1 ($\#$3). The difference between the solid and hatched bands corresponds to the different pileup conditions of $\left<\mu\right>=200$ and 500. The band width corresponds to the significance variation due to the two models assumed for soft QCD processes.

Expected discovery significance for the wino model with 30 ab$^{-1}$ with the requirements of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$ and a good time-fit quality. The background reduction rate with the time information is assumed to be the same for both pileup conditions. The grey (red) bands show the significance using the default (alternative) layout $\#$1 ($\#$3). The difference between the solid and hatched bands corresponds to the different pileup conditions of $\left<\mu\right>=200$ and 500. The band width corresponds to the significance variation due to the two models assumed for soft QCD processes.

Expected discovery significance for the higgsino model with 30 ab$^{-1}$ with the requirements of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$ and a good time-fit quality. The background reduction rate with the time information is assumed to be the same for both pileup conditions. The grey (red) bands show the significance using the default (alternative) layout $\#$1 ($\#$3). The difference between the solid and hatched bands corresponds to the different pileup conditions of $\left<\mu\right>=200$ and 500. The band width corresponds to the significance variation due to the two models assumed for soft QCD processes.

Summary of reach for charginos using a disappearing-track signature. The FCC-hh 5$\sigma$-discovery reach assuming the alternative layout, the average number of $pp$ interactions per bunch crossing of 500, only non-diffractive soft-QCD processes and a use of the time information of the pixel detector is shown in blue. The reach for the wino scenario is obtained by extrapolating the sensitivity curve in Fig. 6. The 5$\sigma$-discovery reach and the 95% CL exclusion sensitivity are taken from [46]. The observed exclusion in the ATLAS search with 36 fb$^{-1}$ of Run 2 data [39, 47] are shown as well.

Radial distances (in mm) of the first five layers from the beam line for the three inner-tracker layouts considered in this study.

Signal acceptance for the 3 TeV wino and 1 TeV higgsino with $|\eta|<1$ for the three inner-tracker layouts. The acceptances are provided separately for the requirements of $N_{\mathrm{layer}}^{\mathrm{hit}}=4$ and 5. The alternative layout $\#$3 has significantly higher acceptance than the others because the relevant layers are located closer to the beam line, particularly for the higgsino case with $N_{\mathrm{layer}}^{\mathrm{hit}}=5$.

Signal and background yields as well as the discovery significance for the 3 TeV wino and 1 TeV higgsino with 30 ab$^{-1}$ with the requirements of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$ under the pileup condition of $\left<\mu\right>=200$. The fake-track background rate is assumed to be same for both alternative layouts. The kinematic selection requirements on the leading jet $p_{T}$ and $E_{\text{T}}^{\text{miss}}$ are also given.

Signal and background yields as well as the discovery significance for the 3 TeV wino and 1 TeV higgsino with 30 ab$^{-1}$ with the requirements of $N_{\mathrm{layer}}^{\mathrm{hit}}=5$ under the pileup condition of $\left<\mu\right>=500$. The fake-track background rate is assumed to be same for both alternative layouts. The kinematic selection requirements on the leading jet $p_{T}$ and $E_{\text{T}}^{\text{miss}}$ are also given.

Integrated yields of $\eta$ mesons produced in inelastic pp collisions at center of mass energies of 2.76 and 8 TeV. The uncertainty of $\sigma_{MB}$ of $^{+3.9\%}_{-6.4\%}(model)\pm2.0(lumi)$% for $\sqrt{s}=2.76$ TeV and $\pm2.3$% for 8 TeV is not included in the systematic error.

Integrated $\eta$/$\pi^{0}$ ratio produced in inelastic pp collisions at center of mass energies of 2.76 and 8 TeV.

Mean transverse momenta $\langle p_\text{T}\rangle$ of $\pi^{0}$ mesons produced in inelastic pp collisions at center of mass energies of 2.76 and 8 TeV. The uncertainty of $\sigma_{MB}$ of $^{+3.9\%}_{-6.4\%}(model)\pm2.0(lumi)$% for $\sqrt{s}=2.76$ TeV and $\pm2.3$% for 8 TeV is not included in the systematic error.

Mean transverse momenta $\langle p_\text{T}\rangle$ of $\eta$ mesons produced in inelastic pp collisions at center of mass energies of 2.76 and 8 TeV. The uncertainty of $\sigma_{MB}$ of $^{+3.9\%}_{-6.4\%}(model)\pm2.0(lumi)$% for $\sqrt{s}=2.76$ TeV and $\pm2.3$% for 8 TeV is not included in the systematic error.

The measured ratio of cross sections for inclusive $\eta$ to $\pi^{0}$ production at a center of mass energy of 8 TeV.