Measured $R_\text{AA}$ for the $\Upsilon(3S)$ state in the 0–90% centrality interval, integrated over the full kinematic range $p_\text{T}$ < 30 GeV/c and |y| < 2.4. The global uncertainty "PP MB" represents the pp luminosity and PbPb $N_\text{MB}$ combined uncertainties, whereas the global uncertainty "PP 3S" corresponds to the uncertainty on the$\Upsilon(3S)$ pp yields.

Measured $R_\text{AA}$ for the $\Upsilon(2S)$ state as functions of transverse momentum $p_\text{T}$, integrated over the rapidity range of |y| < 2.4 and the 0–90% centrality interval. The global uncertainty combines the uncertainties of $T_\text{AA}$ , pp luminosity, and PbPb $N_\text{MB}$.

Measured $R_\text{AA}$ for the $\Upsilon(3S)$ state as functions of transverse momentum $p_\text{T}$, integrated over the rapidity range of |y| < 2.4 and the 0–90% centrality interval. The global uncertainty combines the uncertainties of $T_\text{AA}$ , pp luminosity, and PbPb $N_\text{MB}$.

The double ratios of $\Upsilon(3S)$ /$\Upsilon(2S)$ as functions of PbPb collision centrality, integrated over the full kinematic range $p_\text{T}$ < 30 GeV/c and |y| < 2.4. The global uncertainty represents the combined systematic and statistical uncertainties from pp data.

The double ratios of $\Upsilon(3S)$ /$\Upsilon(2S)$ in the 0–90% centrality interval, integrated over the full kinematic range $p_\text{T}$ < 30 GeV/c and |y| < 2.4. The global uncertainty represents the combined systematic and statistical uncertainties from pp data.

The double ratios of $\Upsilon(3S)$ /$\Upsilon(2S)$ as functions of transverse momentum $p_\text{T}$, integrated over the rapidity range of |y| < 2.4 and the 0–90% centrality interval.

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.

Nuclear modification factor of $\Upsilon(1\mathrm{S})$ as a function of the average number of participants $\langle N_{\mathrm{part}} \rangle$ or as a function of the collision centrality.

Nuclear modification factor of $\Upsilon(2\mathrm{S})$ as a function of the average number of participants $\langle N_{\mathrm{part}} \rangle$ or as a function of the collision centrality.

Ratio of $\Upsilon(2\mathrm{S})$ and $\Upsilon(1\mathrm{S})$ yields (cf. equation 2 in the article for the definition) as a function of the average number of participants $\langle N_{\mathrm{part}} \rangle$ or as a function of the collision centrality. The global uncertainty is the quadratic sum of the branching ratio uncertainties.

Relative nuclear modification factor or double yield ratio between $\Upsilon(2\mathrm{S})$ and $\Upsilon(1\mathrm{S})$ as a function of the average number of participants $\langle N_{\mathrm{part}} \rangle$ or as a function of the collision centrality. The global uncertainty corresponds to the systematic uncertainty on the cross-section ratio in proton–proton collisions.

Nuclear modification factor of $\Upsilon(1\mathrm{S})$ as a function of transverse momentum for the 0–90% centrality interval.

Nuclear modification factor of $\Upsilon(1\mathrm{S})$ as a function of rapidity for the 0–90% centrality interval.

Nuclear modification factor of $\Upsilon(2\mathrm{S})$ as a function of rapidity for the 0–90% centrality interval.

Interpolated production cross sections and cross-section ratio for $\Upsilon(1\mathrm{S}) \rightarrow \mu^{+}\mu^{-}$ and $\Upsilon(2\mathrm{S}) \rightarrow \mu^{+}\mu^{-}$ in proton–proton collisions, integrated over the rapidity interval 2.5–4.0 and $p_{\mathrm{T}} <$ 15 GeV/$c$. Results used for the determination of the integrated nuclear modification factors and of the nuclear modification factors as a function of centrality (Figures 4 and 5 (right)).

Interpolated $p_{\mathrm{T}}$-differential cross section for $\Upsilon(1\mathrm{S}) \rightarrow \mu^{+}\mu^{-}$ in proton–proton collisions. Results used for the determination of the nuclear modification factor of $\Upsilon(1\mathrm{S})$ as a function of its transverse momentum (Figure 6).

Interpolated rapidity-differential cross section for $\Upsilon(1\mathrm{S}) \rightarrow \mu^{+}\mu^{-}$ in proton–proton collisions. Results used for the determination of the nuclear modification factor of $\Upsilon(1\mathrm{S})$ as a function of rapidity (Figure 7).

Interpolated rapidity-differential cross section for $\Upsilon(2\mathrm{S}) \rightarrow \mu^{+}\mu^{-}$ in proton–proton collisions. Results used for the determination of the nuclear modification factor of $\Upsilon(2\mathrm{S})$ as a function of rapidity (Figure 7).

Double-differential cross section times the dimuon branching fraction of the Y(2S) meson for different ranges of pT in bins of |y| and for the full |y| < 1.2 range, for the unpolarized decay hypothesis. The global uncertainty in the integrated luminosity of 2.3% is not included in the systematic uncertainties.

Double-differential cross section times the dimuon branching fraction of the Y(3S) meson for different ranges of pT in bins of |y| and for the full |y| < 1.2 range, for the unpolarized decay hypothesis. The global uncertainty in the integrated luminosity of 2.3% is not included in the systematic uncertainties.

Multiplicative scaling factors to obtain the J/psi differential cross sections for different polarization scenarios (Lambda_{Theta} = +1, +0.10, -1) from the unpolarized cross section measurements given in Table 1.

Multiplicative scaling factors to obtain the psi(2S) differential cross sections for different polarization scenarios (Lambda_{Theta} = +1, +0.03, -1) from the unpolarized cross section measurements given in Table 2.

Multiplicative scaling factors to obtain the Y(1S) differential cross sections for different polarization scenarios (Lambda_{Theta} = +1, k, -1) from the unpolarized cross section measurements given in Table 3. The parameter k corresponds to a linear interpolation of the CMS measured value as a function of pT for pT < 50 GeV. For pT > 50 GeV, where no measurements exist, k is taken as the average of all the measured values for pT < 50 GeV.

Multiplicative scaling factors to obtain the Y(2S) differential cross sections for different polarization scenarios (Lambda_{Theta} = +1, k, -1) from the unpolarized cross section measurements given in Table 3. The parameter k corresponds to a linear interpolation of the CMS measured value as a function of pT for pT < 50 GeV. For pT > 50 GeV, where no measurements exist, k is taken as the average of all the measured values for pT < 50 GeV.

Multiplicative scaling factors to obtain the Y(3S) differential cross sections for different polarization scenarios (Lambda_{Theta} = +1, k, -1) from the unpolarized cross section measurements given in Table 3. The parameter k corresponds to a linear interpolation of the CMS measured value as a function of pT for pT < 50 GeV. For pT > 50 GeV, where no measurements exist, k is taken as the average of all the measured values for pT < 50 GeV.

Ratio of differential cross section times branching fractions of the prompt psi(2S) to J/psi mesons assuming unpolarized productions as a function of pT for |y| < 1.2.

Ratios of differential cross section times branching fractions of the prompt Y(2S) to Y(1S) and Y(3S) to Y(1S) mesons assuming unpolarized productions as a function of pT for |y| < 1.2.

Differential cross section for Y(2S) states as a function of their transverse momentum and per unit of rapidity in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(3S) states as a function of their transverse momentum and per unit of rapidity in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(3S) states as a function of their transverse momentum and per unit of rapidity in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(1S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(1S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(3S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(3S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factors for Υ(1S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.3%) are displayed at unity as empty and filled red black boxes, respectively.

Nuclear modification factors for Υ(1S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.3%) are displayed at unity as empty and filled red black boxes, respectively.

Nuclear modification factors for Υ(2S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.9%) are displayed at unity as empty and filled black black boxes, respectively.

Nuclear modification factors for Υ(2S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.9%) are displayed at unity as empty and filled black black boxes, respectively.

Nuclear modification factors for Υ(1S), Υ(2S) and Υ(3S) meson production in PbPb collisions, integrated over centrality. For the Υ(3S), the upper limit derived on the nuclear modification factor is given.

Nuclear modification factors for Υ(1S), Υ(2S) and Υ(3S) meson production in PbPb collisions, integrated over centrality. For the Υ(3S), the upper limit derived on the nuclear modification factor is given.

Differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T$ [pb/(GeV/$c$)] for $2.0 < y < 4.5$.

Differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}y$ [pb] for $p_T < 30$ GeV.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(2S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(1S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(3S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(1S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(3S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(2S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

The ratio of differential cross-sections $( \mathrm{d} \sigma ( pp \to ( \Upsilon(iS) \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T ) / ( \mathrm{d} \sigma ( pp \to ( \Upsilon(jS) \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T )$ for $2.0 < y < 4.5$.

The ratio of differential cross-sections $( \mathrm{d} \sigma ( pp \to ( \Upsilon(iS) \to \mu^+ \mu^- ) X ) / \mathrm{d}y ) / ( \mathrm{d} \sigma ( pp \to ( \Upsilon(jS) \to \mu^+ \mu^- ) X ) / \mathrm{d}y )$ for $p_T < 30$ GeV/$c$.

Double-differential cross-section $\mathrm{d}^2 \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d}y$ [pb/(GeV/$c$)].

Double-differential cross-section $\mathrm{d}^2 \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d}y$ [pb/(GeV/$c$)].

Double-differential cross-section $\mathrm{d}^2 \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d}y$ [pb/(GeV/$c$)].

Differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T$ [pb/(GeV/$c$)] for $2.0 < y < 4.5$.

Differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}y$ [pb] for $p_T < 30$ GeV.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(2S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(1S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(3S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(1S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

Ratio of double-differential cross-sections $( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(3S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y ) / ( \mathrm{d}^2 \sigma ( pp \to ( \Upsilon(2S) \to \mu^+ \mu^- ) X ) / \mathrm{d} p_T/\mathrm{d} y )$.

The ratio of differential cross-sections $( \mathrm{d} \sigma ( pp \to ( \Upsilon(iS) \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T ) / ( \mathrm{d} \sigma ( pp \to ( \Upsilon(jS) \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T )$ for $2.0 < y < 4.5$.

The ratio of differential cross-sections $( \mathrm{d} \sigma ( pp \to ( \Upsilon(iS) \to \mu^+ \mu^- ) X ) / \mathrm{d}y ) / ( \mathrm{d} \sigma ( pp \to ( \Upsilon(jS) \to \mu^+ \mu^- ) X ) / \mathrm{d}y )$ for $p_T < 30$ GeV/$c$.

The ratio of differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}p_T$ [pb/(GeV/$c$)] for $\sqrt{s}=8$ and $\sqrt{s}=7$ TeV in $2.0 < y < 4.5$.

The ratio of differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}y$ for $\sqrt{s}=8$ and $\sqrt{s}=7$ TeV and $p_T < 30$ GeV/$c$.

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.

Fractions $R_{\Upsilon(1S)}^{\chi_{b}(mP)}$ in bins of $p_{\mathrm{T}}^{\Upsilon}$, measured for data collected at $\sqrt{s}= 8$ TeV.

Fractions $R_{\Upsilon(1S)}^{\chi_{b}(mP)}$ in bins of $p_{\mathrm{T}}^{\Upsilon}$, measured for data collected at $\sqrt{s}= 8$ TeV.

Fractions $R_{\Upsilon(1S)}^{\chi_{b}(mP)}$ in bins of $p_{\mathrm{T}}^{\Upsilon}$, measured for data collected at $\sqrt{s}= 8$ TeV.

The $p_{\rm T}$ bin width and corrected yield ratios R21 and R31 for $|y| < 0.6$. The statistical and systematic uncertainties in the corrected yield ratios are given as the percentage of the ratio.

The $p_{\rm T}$ bin width and corrected yield ratios R21 and R31 for $0.6 < |y| < 1.2$. The statistical and systematic uncertainties in the corrected yield ratios are given as the percentage of the ratio.

The $p_{\rm T}$ bin width and corrected yield ratios R21 and R31 for $|y| < 1.2$. The statistical and systematic uncertainties in the corrected yield ratios are given as the percentage of the ratio.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon$(1S) state and $|y| <0.6$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(1S) state and $0.6 < |y| < 1.2$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(1S) state and $|y| < 1.2$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(2S) state and $|y| < 0.6$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(2S) state and $0.6 < |y| < 1.2$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(2S) state and $|y| < 1.2$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(3S) state and $|y| < 0.6$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(3S) state and $0.6 < |y| < 1.2$.

The dimuon acceptance $\mathcal{A}$ calculated using the CMS measured polarization and its positive and negative uncertainties $\mathcal{A}(\sigma^{\pm})$, and the values of the acceptance assuming no polarization $\mathcal{A}$(unpol), transverse polarization $\mathcal{A}(T)$, and longitudinal polarization $\mathcal{A}(L)$ for the $\Upsilon $(3S) state and $|y| < 1.2$.