The cross-section in bins of the di-$J/\psi$ transverse momentum in the forward rapidity region, assuming unpolarised $J/\psi$ mesons and excluding the $J/\psi$ spin-alignment systematic uncertainty. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The cross-section in bins of the di-$J/\psi$ invariant mass in the central rapidity region, assuming unpolarised $J/\psi$ mesons and excluding the $J/\psi$ spin-alignment systematic uncertainty. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The cross-section in bins of the di-$J/\psi$ invariant mass in the forward rapidity region, assuming unpolarised $J/\psi$ mesons and excluding the $J/\psi$ spin-alignment systematic uncertainty. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The total cross-section, DPS cross-section, $f_{\mathrm{DPS}}$, and average acceptance correction in the muon fiducial volume for the $\Delta y$ distribution. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The total cross-section, DPS cross-section, $f_{\mathrm{DPS}}$, and average acceptance correction in the muon fiducial volume for the $\Delta \phi$ distribution. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The total cross-section, DPS cross-section, $f_{\mathrm{DPS}}$, and average acceptance correction in the muon fiducial volume for the $m$($J/\psi$ $J/\psi$) distribution. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The total cross-section, DPS cross-section, $f_{\mathrm{DPS}}$, and average acceptance correction in the muon fiducial volume for the $p_{\mathrm{T}}$($J/\psi$ $J/\psi$) distribution. The branching fraction and luminosity uncertainties are not included in the systematic uncertainty as they are constant at 1.1$\%$ and 1.9$\%$ respectively.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the sub-leading $J/\psi$ transverse momentum in the central rapidity region.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the sub-leading $J/\psi$ transverse momentum in the forward rapidity region.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the di-$J/\psi$ transverse momentum in the central rapidity region.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the di-$J/\psi$ transverse momentum in the forward rapidity region.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the di-$J/\psi$ invariant in the central rapidity region.

The average acceptance weight for each spin-alignment scenario relative to the unpolarised case in bins of the di-$J/\psi$ invariant in the forward rapidity region.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} p_T(D^+)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} y(\Upsilon(1S))}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} y(\Upsilon(1S))}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} y(D^0)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} y(D^+)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{\pi}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} \left| \Delta \phi \right| }$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{\pi}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} \left| \Delta \phi \right| }$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} \left| \Delta y \right| }$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} \left| \Delta y \right| }$ for $2<y(\Upsilon(1S))<4.5$, for $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} p_T(\Upsilon(1S)D^0) }$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} p_T(\Upsilon(1S)D^+)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} y(\Upsilon(1S)D^0) }$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} y(\Upsilon(1S)D^+)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} \mathcal{A}_T }$, where $\mathcal{A}_T = \frac{p_T(\Upsilon(1S))-p_T(D^0)}{p_T(\Upsilon(1S))-p_T(D^0)}$, for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} \mathcal{A}_T }$, where $\mathcal{A}_T = \frac{p_T(\Upsilon(1S))-p_T(D^0)}{p_T(\Upsilon(1S))-p_T(D^0)}$, for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^0)}{\mathrm{d} m(\Upsilon(1S)D^0) }$, for $2<y(\Upsilon(1S))<4.5$, $2<y(D^0)<4.5$, $p_T(D^0)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

Normalized differential cross-section $\frac{1}{\sigma}\frac{ \mathrm{d}\sigma(\Upsilon(1S)D^+)}{\mathrm{d} m(\Upsilon(1S)D^+)}$ for $2<y(\Upsilon(1S))<4.5$, $2<y(D^+)<4.5$, $p_T(D^+)>1$ GeV/$c$. Only statistical uncertainties are quoted as systematic uncertainties are found to be negligible. The distribution is normalized to unity.

The fiducial, inclusive (SPS+DPS) and DPS-subtracted differential cross-section ratio $\mathrm{d}R_{Z+J/\psi}/\mathrm{d}y$ as a function of $y_{J/\psi}$ for non-prompt $J/\psi$.

The inclusive (SPS+DPS) cross-section ratio $\mathrm{d}R_{Z+J/\psi}^\mathrm{incl}/\mathrm{d}p_\mathrm{T}$ for prompt and non-prompt $J/\psi$. Estimated DPS contributions for each bin, based on the assumptions made in this study, are presented.

The inclusive (SPS+DPS) cross-section ratio $\mathrm{d}R_{Z+J/\psi}^\mathrm{incl}/\mathrm{d}p_\mathrm{T}$ for prompt and non-prompt $J/\psi$. Estimated DPS contributions for each bin, based on the assumptions made in this study, are presented.

Spectrum of ETmiss for the muon channel after the event selection. The spectrum is shown with the requirement MT > 252 GeV.

Spectrum of MT for the electron channel after the event selection.

Spectrum of MT for the muon channel after the event selection.

Observed and expected limits on SIGMA*B for WPRIME at 95% CL in the electron channel.

Observed and expected limits on SIGMA*B for W* at 95% CL in the electron channel.

Observed and expected limits on SIGMA*B for WPRIME at 95% CL in the muon channel.

Observed and expected limits on SIGMA*B for W* at 95% CL in the muon channel.

Observed and expected limits on SIGMA*B for WPRIME at 95% CL for the combination of the electron and muon channels.

Observed and expected limits on SIGMA*B for W* at 95% CL for the combination of the electron and muon channels.

Observed limits on M* as a function of the DM particle mass M(chi) at 90% CL for the combination of the electron and muon channel for various operators in the EFT.

Observed limits on the DM-nucleon scattering cross-section as a function of M(chi) at 90% CL for various operators in the EFT.

Observed limits on M* as a function of the DM particle mass M(chi) at 90% CL in the electron for various operators in the EFT.

Observed limits on M* as a function of the DM particle mass M(chi) at 90% CL in the muon for various operators in the EFT.

Observed limits on M* as a function of the DM particle mass M(chi) at 95% CL in the electron for various operators in the EFT.

Observed limits on M* as a function of the DM particle mass M(chi) at 95% CL in the muon for various operators in the EFT.

Observed limits on M* as a function of the DM particle mass M(chi) at 95% CL for the combination of the electron and muon channel for various operators in the EFT.

The nuclear modification factor R_pPb for prompt, isolated photons with rapidity in (1.09,1.90).

The nuclear modification factor R_pPb for prompt, isolated photons with rapidity in (−1.84,0.91).

The nuclear modification factor R_pPb for prompt, isolated photons with rapidity in (−2.83,−2.02).

The ratio of R_{pPb} from rapidity (1.09,1.90) to that of rapidity (−2.83,−2.02).

The total inelastic cross section.

The measured differential elastic cross section. In addition to the statistical and total systematic uncertainties, the following 22 systematic shifts are given, which are included in the profile fit with their signs: -- Constraints: Beam optics uncertainty obtained by varying the ALFA constraints in the optics fit -- QScan: Variation by +/- 0.1 % of the quadrupole strength -- Q2: Fit of the strength of Q2 using the best value for the strength of Q1 and Q3 -- Q5Q6: Variation of the strength of Q5 and Q6 by -0.2% as indicated by machine constraints -- MadX: Uncertainty related to the beam transport replacing matrix transport by MadX PTC tracking -- Qmisal: Uncertainty due to the mis-alignment of the quadrupoles in the beam line -- Q1Q3: Propagation of the optics fit uncertainty in the strenght of Q1 and Q3 on the differential elastic cross section -- Aopt: Alignment uncertainty from the optimization procedure -- Offv: Alignment uncertainty related to the vertical beam center offset -- Offh: Alignment uncertainty related to the horizontal beam center offset -- Ang: Alignment uncertainty related to the detector rotation in the x-y plane -- BGn: Uncertainty from the background normalization -- BGs: Uncertainty from the background shape -- MCres: Error from modelling of the detector response -- Slope: Residual dependence on the physics model estimated by varying the nuclear slope in the simulation by +/- 1 GeV^-2 -- Emit: Uncertainty from the emittance used to calculate beam divergence in the simulation -- Unf: Unfolding uncertainty from the data-driven closure test -- Trac: Uncertainty from the variation of the track reconstruction selection cuts -- Xing: Uncertainty from residual crossing angle in the horizontal plane -- Eff: Uncertainty from the reconstruction efficiency -- Lumi: Luminosity uncertainty (+/- 1.5%) -- Ebeam: Uncertainty from the nominal beam energy (+/- 0.65%) Small differences in the values given here compared to the published version are related to insignificant rounding issues.

The statistical covariance matrix for the differential elastic cross section.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $467 < m^{\gamma-\rm jet1} < 510$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $510 < m^{\gamma-\rm jet1} < 590$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $590 < m^{\gamma-\rm jet1} < 670$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $670 < m^{\gamma-\rm jet1} < 760$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $760 < m^{\gamma-\rm jet1} < 850$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $850 < m^{\gamma-\rm jet1} < 950$ GeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $0.95 < m^{\gamma-\rm jet1} < 1.05$ TeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $1.05 < m^{\gamma-\rm jet1} < 1.25$ TeV.

Measured cross sections for isolated-photon plus 1jet production as a function of $|\cos\theta^{\star}|$ for the range $1.25 < m^{\gamma-\rm jet1} < 2.45$ TeV.

Measured cross sections for isolated-photon plus 2jet production as a function of $E_{\rm T}^{\gamma}$.

Measured cross sections for isolated-photon plus 2jet production as a function of $p_{\rm T}^{\rm jet2}$.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm \gamma-jet2}$.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm jet1-jet2}$.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm \gamma-jet2}$ for the range $130< E_{\rm T}^{\gamma} <300$ GeV.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm \gamma-jet2}$ for the range $E_{\rm T}^{\gamma} >300$ GeV.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm jet1-jet2}$ for the range $130< E_{\rm T}^{\gamma} <300$ GeV.

Measured cross sections for isolated-photon plus 2jet production as a function of $\Delta\phi^{\rm jet1-jet2}$ for the range $E_{\rm T}^{\gamma} >300$ GeV.

Measured cross sections for isolated-photon plus 2jet production as a function of $\beta^{\rm jet1}$.

Measured cross sections for isolated-photon plus 2jet production as a function of $\beta^{\gamma}$.

Ratio of measured cross sections for isolated-photon plus 2jet production as a function of $\beta$.

Measured cross sections for isolated-photon plus 3jet production as a function of $E_{\rm T}^{\gamma}$.

Measured cross sections for isolated-photon plus 3jet production as a function of $p_{\rm T}^{\rm jet3}$.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm \gamma-jet3}$.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet1-jet3}$.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet2-jet3}$.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm \gamma-jet3}$ for the range $130< E_{\rm T}^{\gamma} <300$ GeV.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm \gamma-jet3}$ for the range $E_{\rm T}^{\gamma} >300$ GeV.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet1-jet3}$ for the range $130< E_{\rm T}^{\gamma} <300$ GeV.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet1-jet3}$ for the range $E_{\rm T}^{\gamma} >300$ GeV.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet2-jet3}$ for the range $130< E_{\rm T}^{\gamma} <300$ GeV.

Measured cross sections for isolated-photon plus 3jet production as a function of $\Delta\phi^{\rm jet2-jet3}$ for the range $E_{\rm T}^{\gamma} >300$ GeV.

$D^+ D^0$~mass distributions for selected candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^+ D^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^+ D^0 \pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Background-subtracted distributions for the multiplicity of tracks reconstructed in the vertex detector for $T_{cc}^+\to D^0 D^0 \pi^+$ signal, low-mass $D^0\bar{D}^0$ and $D^0D^0$ pairs. The binning scheme is chosen to have an approximately uniform distribution for $D^0\bar{D}^0$ pairs. The distributions for the $D^0\bar{D}^0$ and $D^0D^0$ pairs are normalised to the same yields as the $T_{cc}^+\to D^0 D^0 \pi^+$ signal. For better visualisation, the points are slightly displaced from the bin centres. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Background-subtracted transverse momentum spectra for $T_{cc}^+\to D^0 D^0 \pi^+$ signal, low-mass $D^0\bar{D}^0$ and $D^0D^0$ pairs. The binning scheme is chosen to have an approximately uniform distribution for $D^0\bar{D}^0$ pairs. The distributions for the $D^0\bar{D}^0$ and $D^0D^0$ pairs are normalised to the same yields as the $T_{cc}^+\to D^0 D^0 \pi^+$ signal. For better visualisation, the points are slightly displaced from the bin centres. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0 \bar{D}^0$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0 D^0$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $\bar{D}^0D^0\pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^0\pi^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^-$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Mass distributions for selected $D^0D^+$ candidates with the $D^0$ background subtracted. Uncertainties on the data points are statistical only and represent one standard deviation, calculated as a sum in quadrature of the assigned weights from the background-subtraction procedure.

Distribution of $D^0 D^0 \pi^+$ mass where the contribution of the non-$D^0$ background has been statistically subtracted by assigning the a weight to every candidate.

Mass distribution for $D^0 \pi^+$ pairs from selected $D^0 D^0 \pi^+$ candidates with a mass below the $D^{*+}D^0$ mass threshold with non-$D^0$ background subtracted by assigning the a weight to every candidate.

$D^0 D^0$~mass distributions for selected candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

$D^+ D^0$~mass distributions for selected candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

Mass distributions for selected $D^+ D^+$ candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.

Mass distributions for selected $D^+ D^0 \pi^+$ candidates with the $D^0$ background subtracted by assigning the a weight to every candidate.