non prompt $\psi(2S)$ $\lambda_\theta$

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.

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.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicity distribution in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicity distributions in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=6 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=20 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=50 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=6 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=20 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=50 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Observed event yields and estimated backgrounds in the low- and high-mass control regions. The uncertainty in the background yield is the sum in quadrature of the statistical and systematic uncertainties.

Summary of the relative systematic uncertainties in heavy Majorana neutrino signal yields and the background from prompt same-sign leptons, both estimated from simulation. The relative systematic uncertainties assigned to the data-driven backgrounds for the misidentified lepton background and mismeasured charge background are also shown. The uncertainties are given for the low-mass selections.

Summary of the relative systematic uncertainties in heavy Majorana neutrino signal yields and the background from prompt same-sign leptons, both estimated from simulation. The relative systematic uncertainties assigned to the data-driven backgrounds for the misidentified lepton background and mismeasured charge background are also shown. The uncertainties are given for the high-mass selections.

Summary of contributions to the systematic uncertainty related to the prompt same-sign leptons background, misidentified lepton background, and mismeasured charge background on the total background uncertainty for the case of $m_{\rm N}$ = 100 and 500 GeV.

Observed event yields and estimated backgrounds after the application of all selection, except for the final optimization. The background predictions from prompt same-sign leptons (Prompt bkgd.), misidentified leptons (Misid. bkgd.), mismeasured charge (Charge mismeas. bkgd.) and the total background (Total bkgd.) are shown together withthe number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Dielectron channel results after final optimization. The background predictions from prompt same-sign leptons, misidentified leptons, and mismeasured charge are shown along with the total background estimate and the number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Electron-muon channel results after final optimization. The background predictions from prompt same-sign leptons and misidentified leptons are shown along with the total background estimate and the number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicity distribution in proton-proton collisions at a centre-of-mass energy of 13000 GeV for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Extrapolated charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Extrapolated charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Extrapolated charged-particle multiplicity distributions in proton-proton collisions at a centre-of-mass energy of 13000 GeV for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Extrapolated average transverse momentum in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Charged-particle multiplicity distribution in proton-proton collisions at a centre-of-mass energy of 13000 GeV for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Average transverse momentum in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Extrapolated charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Extrapolated charged-particle multiplicities in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Extrapolated charged-particle multiplicity distributions in proton-proton collisions at a centre-of-mass energy of 13000 GeV for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

Extrapolated average transverse momentum in proton-proton collisions at a centre-of-mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <0.8.

The jet charge distribution standard deviation for kappa = 0.3 and the more central jet. Values are given in units of the positron charge, e.

The jet charge mean for kappa = 0.5 and the more forward jet. Values are given in units of the positron charge, e.

The jet charge distribution standard deviation for kappa = 0.5 and the more forward jet. Values are given in units of the positron charge, e.

The jet charge mean for kappa = 0.5 and the more central jet. Values are given in units of the positron charge, e.

The jet charge distribution standard deviation for kappa = 0.5 and the more central jet. Values are given in units of the positron charge, e.

The jet charge mean for kappa = 0.7 and the more forward jet. Values are given in units of the positron charge, e.

The jet charge distribution standard deviation for kappa = 0.7 and the more forward jet. Values are given in units of the positron charge, e.

The jet charge mean for kappa = 0.7 and the more central jet. Values are given in units of the positron charge, e.

The jet charge distribution standard deviation for kappa = 0.7 and the more central jet. Values are given in units of the positron charge, e.

Production rate for the $\pi^{0}$ production in the rapidity range $9.2 < y < 9.4$ in $p+p$ collisions and in the rapidity range $-9.2 > y_\rm{lab} > -9.4$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $9.4 < y < 9.6$ in $p+p$ collisions and in the rapidity range $-9.4 > y_\rm{lab} > -9.6$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $9.6 < y < 9.8$ in $p+p$ collisions and in the rapidity range $-9.6 > y_\rm{lab} > -9.8$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $9.8 < y < 10.0$ in $p+p$ collisions and in the rapidity range $-9.8 > y_\rm{lab} > -10.0$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $10.0 < y < 10.2$ in $p+p$ collisions and in the rapidity range $-10.0 > y_\rm{lab} > -10.2$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $10.2 < y < 10.4$ in $p+p$ collisions and in the rapidity range $-10.2 > y_\rm{lab} > -10.4$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $10.4 < y < 10.6$ in $p+p$ collisions and in the rapidity range $-10.4 > y_\rm{lab} > -10.6$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the rapidity range $10.6 < y < 10.8$ in $p+p$ collisions and in the rapidity range $-10.6 > y_\rm{lab} > -10.8$ in $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the $p_\rm{T}$ range $0.0 < p_\rm{T} < 0.2$ GeV in $p+p$ and $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the $p_\rm{T}$ range $0.2 < p_\rm{T} < 0.4$ GeV in $p+p$ and $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the $p_\rm{T}$ range $0.4 < p_\rm{T} < 0.6$ GeV in $p+p$ and $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the $p_\rm{T}$ range $0.6 < p_\rm{T} < 0.8$ GeV in $p+p$ and $p+\rm{Pb}$ collisions.

Production rate for the $\pi^{0}$ production in the $p_\rm{T}$ range $0.8 < p_\rm{T} < 1.0$ GeV in $p+p$ and $p+\rm{Pb}$ collisions.

Nuclear modification factor for the $\pi^{0}$s in the rapidity ranges $-8.8>y_\rm{lab}>-9.0$, $-9.0>y_\rm{lab}>-9.2$, and $-9.2>y_\rm{lab}>-9.4$ in $p+\rm{Pb}$ collisions at $\sqrt{s_\rm{NN}}=5.02$ TeV. The uncertainties include both statistical and systematic uncertainties.

Nuclear modification factor for the $\pi^{0}$s in the rapidity ranges $-9.4>y_\rm{lab}>-9.6$, $-9.6>y_\rm{lab}>-9.8$, and $-9.8>y_\rm{lab}>-10.0$ in $p+\rm{Pb}$ collisions at $\sqrt{s_\rm{NN}}=5.02$ TeV. The uncertainties include both statistical and systematic uncertainties.

Nuclear modification factor for the $\pi^{0}$s in the rapidity ranges $-10.0>y_\rm{lab}>-10.2$, $-10.2>y_\rm{lab}>-10.4$, and $-10.4>y_\rm{lab}>-10.6$ in $p+\rm{Pb}$ collisions at $\sqrt{s_\rm{NN}}=5.02$ TeV. The uncertainties include both statistical and systematic uncertainties.

Nuclear modification factor for the $\pi^{0}$s in the rapidity ranges $-10.6>y_\rm{lab}>-10.8$ in $p+\rm{Pb}$ collisions at $\sqrt{s_\rm{NN}}=5.02$ TeV. The uncertainties include both statistical and systematic uncertainties.