Invariant mass distribution for all $\psi(2S)$ candidates passing the selection cuts for the $\mu^+ \mu^-$ decay (a) and the $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu(\mu^+ \mu^-) \pi^+ \pi^-$ decay (b).

Total efficiency { vs.} $ p_{\mathrm{T}}$ computed from simulation for unpolarized $\psi {(2S)}$ mesons for $\psi(2S) \rightarrow \mu^+\mu^-$ (a) and $\psi(2S) \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu(\mu^+ \mu^-) \pi^+ \pi^-$ (b).

Pseudo-decay-time distribution for $\psi(2S) \rightarrow \mu^+ \mu^- $ (a) and $\psi(2S) \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^- $(b) in the $ p_{\mathrm{T}}$ range $4< p_{\mathrm{T}} \le5$ $\text{ Ge V /}c$ , showing the background and prompt contributions. This figure is updated in the Erratum (Appendix A)

Fraction of prompt $\psi(2S)$ as a function of $ p_{\mathrm{T}}$ for the $\mu^+ \mu^-$ mode (solid squares) and the $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^-$ mode (open squares). Error bars include the statistical uncertainties and the systematic uncertainties due to the fitting procedure. This figure is updated in the Erratum (Appendix A).

Dipion mass spectrum for the $\psi(2S) \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^-$ decay. The curve shows the result of the fit with Eq. (3) corrected for the acceptance.

Comparison of the differential cross-sections measured for prompt $\psi(2S)$ (circles) and for $\psi(2S)$ from $b$-hadron decay (squares) in the $\psi(2S) \rightarrow \mu^+ \mu^-$ (solid symbols) and $\psi(2S) \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^-$ (open symbols) modes. Only the uncorrelated uncertainties are shown. \bf{This figure is obsolete. Corrected cross sections are found in Figs. 7 and 8 in the Erratum}.

Differential production cross-section { vs.} $ p_{\mathrm{T}}$ for prompt $\psi(2S)$. The predictions of three nonrelativistic QCD models are also shown for comparison. MWC \cite{bib:chao} and KB \cite{bib:bernd} are NLO calculations including colour-singlet and colour-octet contributions. AL \cite{bib:Lansberg,bib:Lansberg2} is a colour-singlet model including the dominant NNLO terms. This figure is updated in the Erratum.

Differential production cross-section { vs.} $ p_{\mathrm{T}}$ for $\psi(2S)$ from $b$-hadrons. The shaded band is the prediction of a FONLL calculation \cite{bib:FONLL_1,bib:FONLL_2,bib:cacciari}. This figure is updated in the Erratum.

Ratio of $\psi(2S) \rightarrow \mu^+ \mu^-$ to $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \rightarrow \mu^+ \mu^-$ cross-sections for prompt production (a) and for $b$-hadron decay (b), as a function of $ p_{\mathrm{T}}$ . This figure is updated in the Erratum.

Pseudo-decay-time $t_z$ distribution for the $\psi {(2S)} \rightarrow \mu^+ \mu^-$ decay mode in the range $4< p_{\mathrm{T}} \le5$ $\text{ Ge V /}c$ , showing the background and prompt contributions.

Fraction of prompt $\psi {(2S)}$ , $f_\mathrm{p}$, as a function of $ p_{\mathrm{T}}$ . The error bars include statistical and systematic uncertainties added in quadrature.

Differential production cross-section of prompt $\psi {(2S)}$ as a function of $ p_{\mathrm{T}}$ in the range $2.0 < y < 4.5$. The results are compared with the NRQCD calculations \cite{Shao:2014yta}. The error bars include statistical and systematic uncertainties added in quadrature.

Differential production cross-section of $\psi {(2S)}$ from $b$ hadrons as a function of $ p_{\mathrm{T}}$ in the range $2.0 < y < 4.5$. The results are compared with the FONLL calculations \cite{Cacciari:1998it}. The error bars include statistical and systematic uncertainties added in quadrature.

Ratio of $\psi {(2S)} \rightarrow \mu^+ \mu^-$ and $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \rightarrow \mu ^+\mu ^- $ cross-sections for prompt production (a) and for b-hadron decay (b), as a fucntion of $ p_{\mathrm{T}}$ .

Animated gif made out of all figures.

Systematic uncertainties included in the measurement of the cross-section. Uncertainties labelled with $a$ are correlated between the $\mu^+ \mu^-$ and $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^-$ mode, while $b$ indicates a correlation between $\psi(2S) \rightarrow \mu^+ \mu^-$ and the $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \rightarrow \mu^+ \mu^-$ uncertainties \cite{bib:jpsi}.

Cross-section values for prompt $\psi(2S)$ and $\psi(2S)$ from $b$-hadrons in different $ p_{\mathrm{T}}$ bins and in the range $2 < y \le 4.5$, evaluated as the weighted average of the $\mu^+ \mu^-$ and $ J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^-$ channels. The first error is statistical, the second error is systematic, and the last asymmetric uncertainty is due to the unknown polarization of the prompt $\psi(2S)$ meson. This table is updated in the Erratum.

Differential cross-sections $\mathrm{d}\sigma/\mathrm{d} p_{\mathrm{T}} $ (in $\text{ nb}$ /( $ {\mathrm{Ge V /}c}$ )) of prompt $\psi {(2S)}$ and $\psi {(2S)}$ -from-$b$ hadrons at $\sqrt{s} = 7\text{ Te V} $, integrated over $y$ between 2.0 and 4.5. The first uncertainty is statistical and the second systematic. The third asymmetric uncertainty for the prompt $\psi {(2S)}$ mesons is due to the unknown polarisation.