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).

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 $|y| < 1.2$.

Fiducial Upsilon(3S) production cross-section, where pT>4 GeV and |eta|<2.3 for both muons, as a function of Upsilon(3S) pT in the Upsilon(3S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Fiducial Upsilon(nS) production cross-section, where pT>4 GeV and |eta|<2.3 for both muons, as a function of Upsilon(nS) rapidity (|y|) in Upsilon(nS) PT ranging from 0 - 70 GeV. The first uncertainty is statistical, the second is systematic.

Inclusive Upsilon(1S) production cross-section as a function of Upsilon(1S) pT in the Upsilon(1S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(2S) production cross-section as a function of Upsilon(2S) pT in the Upsilon(2S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(3S) production cross-section as a function of Upsilon(3S) pT in the Upsilon(3S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(nS) production cross-section as a function of Upsilon(nS) rapidity (|y|) in Upsilon(nS) PT ranging from 0 - 70 GeV. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Ratio of Upsilon(2S) to Upsilon(1S) inclusive cross-section as a function of Upsilon pT in the Upsilon rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Ratio of Upsilon(3S) to Upsilon(1S) inclusive cross-section as a function of Upsilon pT in the Upsilon rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Ratio of Upsilon(2S) and Upsilon(3S) to Upsilon(1S) inclusive cross-section as a function of Upsilon rapidity (|y|) in Upsilon pT 0 - 70 GeV. The first uncertainty is statistical, the second is systematic.

UPSI(3S) differential cross sections for |y| < 2.

UPSI(1S) differential cross sections for |y| < 1.

UPSI(2S) differential cross sections for |y| < 1.

UPSI(3S) differential cross sections for |y| < 1.

UPSI(1S) differential cross sections for 1 < |y| < 2.

UPSI(2S) differential cross sections for 1 < |y| < 2.

UPSI(3S) differential cross sections for 1 < |y| < 2.

UPSI(1S) differential cross sections as a function of rapidity.

Ratio of upsilon cross sectis.on.

UPSI differential cross sections for |y| < 2.

UPSI differential cross sections for |y| < 1.

UPSI differential cross sections for 1< |y| < 2.