Measured triple-differential cross section distributions as a function of ${p_{T}^{\gamma}}$ in different bins of |${\eta^{\textrm{jet}}}$| for photons in the 2.1 < $|{\eta^{\gamma}}|$ < 2.5 bin.

Figure 4, normalized differential cross section for $\cos\theta_{2}^{r}$

Figure 4, normalized differential cross section for $\cos\theta_{1}^{n}$

Figure 4, normalized differential cross section for $\cos\theta_{2}^{n}$

Figure 5, normalized differential cross section for $\cos\theta_{1}^{k*}$

Figure 5, normalized differential cross section for $\cos\theta_{2}^{k*}$

Figure 5, normalized differential cross section for $\cos\theta_{1}^{r*}$

Figure 5, normalized differential cross section for $\cos\theta_{2}^{r*}$

Figure 6, normalized differential cross section for $\cos\theta_{1}^{k}\cos\theta_{2}^{k}$

Figure 6, normalized differential cross section for $\cos\theta_{1}^{r}\cos\theta_{2}^{r}$

Figure 6, normalized differential cross section for $\cos\theta_{1}^{n}\cos\theta_{2}^{n}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{r}\cos\theta_{2}^{k}+\cos\theta_{1}^{k}\cos\theta_{2}^{r}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{r}\cos\theta_{2}^{k}-\cos\theta_{1}^{k}\cos\theta_{2}^{r}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{n}\cos\theta_{2}^{r}+\cos\theta_{1}^{r}\cos\theta_{2}^{n}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{n}\cos\theta_{2}^{r}-\cos\theta_{1}^{r}\cos\theta_{2}^{n}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{n}\cos\theta_{2}^{k}+\cos\theta_{1}^{k}\cos\theta_{2}^{n}$

Figure 7, normalized differential cross section for $\cos\theta_{1}^{n}\cos\theta_{2}^{k}-\cos\theta_{1}^{k}\cos\theta_{2}^{n}$

Figure 6, normalized differential cross section for $\cos\varphi$

Figure 6, normalized differential cross section for $\cos\varphi_{\mathrm{lab}}$

Figure 6, normalized differential cross section for $|\Delta\phi_{\ell\ell}|$

Figure 8, statistical covariance matrix for normalized differential cross sections (note, the figure in the paper is for the corresponding correlation matrix)

Figure 8, systematic covariance matrix for normalized differential cross sections (note, the figure in the paper is for the corresponding correlation matrix)

Table 3, measured coefficients

Figure 12, statistical covariance matrix for coefficients (note, the figure in the paper is for the corresponding correlation matrix)

Figure 12, systematic covariance matrix for coefficients (note, the figure in the paper is for the corresponding correlation matrix)

Table 6, sums and differences of B coefficients

Table 7, values of $f_\text{SM}$

The 95% CL upper limits on the production cross section times the branching fraction as a function of mA in the case of a gluon fusion production

The 95% CL upper limits on the production cross section times the branching fraction as a function of mA in the case of a b-associated production and an intrinsic width corresponding to 10% of the mass

The 95% CL upper limits on the production cross section times the branching fraction as a function of mA in the case of a gluon fusion production and an intrinsic width corresponding to 10% of the mass

The $\Upsilon$(1S) $v_2$ coefficient in three centrality intervals integrated over the transverse momentum range 2~$<$~$p_{\rm T}$~$<$~15 GeV/$c$ in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV.

Expected limit contour for GGM scenario

Observed limit contour for GGM scenario

Expected limit contour for GGM scenario

Observed limit contour for GGM scenario

Expected limit contour for Neutralino BF scenario

Observed limit contour for Neutralino BF scenario

Expected limit contour for Chargino BF scenario

Observed limit contour for Chargino BF scenario

Expected limit contour for T5Wg

Observed limit contour for T5Wg

Expected limit contour for Gluino BF scenario

Observed limit contour for Gluino BF scenario

Covariance matrix for all bins (additional material)

Correlation matrix for all bins (additional material)

RpA of charged hadrons as a function of pT at forward rapidity in p+Al various centrality bins.

RpA of charged hadrons as a function of pT at backward rapidity in p+Al various centrality bins.

RpA of charged hadrons as a function of eta at forward and backward rapidity in p+Al various centrality bins.

RpA of charged hadrons as a function of pT at forward rapidity in p+Au various centrality bins.

RpA of charged hadrons as a function of pT at backward rapidity in p+Au various centrality bins.

RpA of charged hadrons as a function of eta at forward and backward rapidity in p+Au various centrality bins.

RpA of charged hadrons as a function of Npart at forward and backward rapidity in p+Al collisions.

RpA of charged hadrons as a function of Npart at forward and backward rapidity in p+Au collisions.

The observed upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The observed upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The observed and expected upper limits at $95\%$ CL on the gluino pair production cross section for a gluino GMSB model with $m_{\tilde{g}}=2400$ GeV. The one (two) standard deviation variation in the expected limit is shown in the inner green (outer yellow) band. The blue solid line shows the observed limit obtained by the CMS displaced jet search

The distribution (normalized to unity) of number of ECAL cells hit in the jet for jets in a background enriched data sample (satisfying $|\eta| < 1.48$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets satisfying signal region requirements (except those on $E_{\mathrm{ECAL}}$ and $N^{\mathrm{cell}}_{\mathrm{ECAL}}$).

The distribution (normalized to unity) of $\mathrm{HEF}$ for a data sample enriched in beam halo and noise jets (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30 \,\mathrm{GeV}$, $p_\mathrm{T}tf < 0.08$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$) and for signal jets passing signal region selections (except on $\mathrm{HEF}$).

The distribution (normalized to unity) of $E_{\mathrm{HCAL}}$ for a data sample enriched in beam halo and noise jets (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30 \,\mathrm{GeV}$, $p_\mathrm{T}tf < 0.08$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$) and for signal jets passing signal region selections (except on $E_{\mathrm{HCAL}}$).

The distribution (normalized to unity) of $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ for data sample enriched in jets from noise (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20 \,\mathrm{GeV}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets passing signal region selections (except on $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ and $t^{\mathrm{RMS}}_\mathrm{jet}$)

The distribution (normalized to unity) of $t^{\mathrm{RMS}}_\mathrm{jet}$ for data sample enriched in jets from noise (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20 \,\mathrm{GeV}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets passing signal region selections (except on $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ and $t^{\mathrm{RMS}}_\mathrm{jet}$)

The distribution (normalized to unity) of $p_\mathrm{T}tf$ for a data sample enriched in main bunch backgrounds (satisfying $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $|t_{\mathrm{jet}}| < 3\,\mathrm{ns}$ and $E_{\mathrm{ECAL}} >20\,\mathrm{GeV}$) and for signal jets passing signal selections (except on $p_\mathrm{T}tf$).

The distribution (normalized to unity) of $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}}$ for a data sample enriched in beam halo (satisfying $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} < 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$ and $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$) and for signal jets passing signal selections (except on $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}}$)

The distribution (normalized to unity) of $\mathrm{max}(\Delta \phi_{\mathrm{DT}})$ for a data sample enriched in cosmic muons (satisfying $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} > 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} > 3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on $\mathrm{max}(\Delta \phi_{\mathrm{DT}})$).

The distribution (normalized to unity) of $\mathrm{max}(\Delta \phi_{\mathrm{RPC}})$ for a data sample enriched in cosmic muons (satisfying $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} > 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} > 3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on $\mathrm{max}(\Delta \phi_{\mathrm{RPC}})$).

Distribution of $t_{\mathrm{jet}}$ for jets with the full Run 2 dataset with no cleaning selection applied (a) and after all jet cleaning selections are applied (b) in events satisfying the trigger requirements and satisfying $p_T^\mathrm{miss} > 300$. The jets are required to pass an inverted selection of $PV_{\rm track}^{\rm fraction} > 0.08$ to enrich the sample in those originating from main and satellite bunch backgrounds. The cleaning selections are shown to reduce the backgrounds by many orders of magnitude.

Distribution of $t_{\mathrm{jet}}$ for jets with the full Run 2 dataset in events satisfying the trigger requirements and satisfying $p_T^\mathrm{miss} < 300$. The jets are required to pass an inverted selection of $PV_{\rm track}^{\rm fraction} > 0.08$ to enrich the sample in those originating from main and satellite bunch backgrounds (all other jet cleaning selections are applied). Clear contributions from jets from satellite bunch collisions can be seen peaked around -5, 5 and 10 ns.

Contribution to the delayed time of jets from the $\beta$ of the gluino is plotted against the delay contribution from the difference (assuming straight line paths) between the path taken by the gluino and the particle forming the jet from the path length for a particle travelling directly to the same position on the ECAL barrel for gluino $c\tau_{0} = 10$ m and mass of 1000 Gev (top) and 3000 GeV (bottom). The dominant contribution is shown to be the gluino $\beta$.

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=1000$ and various proper decay lengths

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=2400$ and various proper decay lengths

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=3000$ and various proper decay lengths

The observed upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected plus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected minus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected plus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected minus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

$p_{\rm{T}}$ differential cross section of prompt D0 mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$. For $0<p_{\rm{T}}<1$ GeV/$c$ the cross section is obtained from the analysis without vertexing recostruction and for $p_{\rm{T}}>1$ GeV/c the analysis with vertexing reconstruction is used.

$p_{\rm{T}}$ differential cross section of prompt D0 mesons in pp collisions at $\mathbf{\sqrt{\textit s}~=~5.02~TeV}$ multiplied by A=208. For $0<p_{\rm{T}}<1$ GeV/$c$ the cross section is obtained from the analysis without vertexing recostruction and for $p_{\rm{T}}>1$ GeV/c the analysis with vertexing reconstruction is used.

$p_{\rm{T}}$ differential cross section of prompt D* mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$p_{\rm{T}}$ differential cross section of prompt D* mesons in pp collisions at $\mathbf{\sqrt{{\textit s}}~=~5.02~TeV}$ multiplied by A=208.

$p_{\rm{T}}$ differential cross section of prompt D+ mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$p_{\rm{T}}$ differential cross section of prompt D+ mesons in pp collisions at $\mathbf{\sqrt{{\textit s}}~=~5.02~TeV}$ multiplied by A=208.

$p_{\rm{T}}$ differential cross section of prompt Ds mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$p_{\rm{T}}$ differential cross section of prompt Ds mesons in pp collisions at $\mathbf{\sqrt{{\textit s}}~=~5.02~TeV}$ multiplied by A=208.

$R_{\rm{pPb}}$ of prompt D0 mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$R_{\rm{pPb}}$ of prompt D* mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$R_{\rm{pPb}}$ of prompt D+ mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$R_{\rm{pPb}}$ of prompt Ds mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$R_{\rm{pPb}}$ of prompt non-strange D mesons in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

$Q_{\rm pPb}$ of prompt D mesons in different centrality classes in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

$Q_{\rm CP}$ of prompt D mesons in different centrality classes in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

Ratio of prompt D+ over D0 production cross section as a function of transverse momentum in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

Ratio of prompt D*+ over D0 production cross section as a function of transverse momentum in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

Ratio of prompt Ds+ over D0 production cross section as a function of transverse momentum in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

Ratio of prompt Ds+ over D+ production cross section as a function of transverse momentum in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$

Ratio of prompt Ds+ over D+ production cross section as a function of the charged particle pseudorapidity density in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

Ratio of prompt Ds+ over D+ production cross section as a function of the charged particle pseudorapidity density in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

Ratio of prompt Ds+ over D+ production cross section as a function of the charged particle pseudorapidity density in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

Ratio of prompt Ds+ over D+ production cross section as a function of the charged particle pseudorapidity density in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.

Ratio of prompt Ds+ over D+ production cross section as a function of the charged particle pseudorapidity density in p-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}~=~5.02~TeV}$.