The differential crosssection for the inclusive production of psi(2S) mesons in pp collisions at sqrt(s)=7 TeV has been measured with the LHCb detector. The data sample corresponds to an integrated luminosity of 36 pb1. The psi(2S) mesons are reconstructed in the decay channels psi(2S) > mu+ mu and psi(2S) > J/psi pi+ pi, with the J/psi meson decaying into two muons. Results are presented both for promptly produced psi(2S) mesons and for those originating from bhadron decays. In the kinematic range pT(psi(2S)) <= 16 GeV/c and 2 < y(psi(2S)) <= 4.5 we measure 1.44 + 0.01 + 0.12+0.20.4 mub for prompt psi(2S) production and 0.25 + 0.01 + 0.02 mub for psi(2S) from bhadron decays, where the last uncertainty on the prompt crosssection is due to the unknown psi(2S) polarization. Recent QCD calculations are found to be in good agreement with our measurements. Combining the present result with the LHCb J/psi measurements we determine the inclusive branching fraction B(b > psi(2S) X) = (2.73 + 0.06 + 0.16 + 0.24) x 10^(3), where the last uncertainty is due to the B(b > J/psi X), B(J/psi > mu+ mu) and B(psi(2S) > e+ e) branching fraction uncertainties. All above results are corrected by an erratum included as an appendix.
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). 
Fig1a.pdf [344 KiB] HiDef png [202 KiB] Thumbnail [182 KiB] *.C file 

Fig1b.pdf [323 KiB] HiDef png [182 KiB] Thumbnail [159 KiB] *.C file 

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). 
Fig2a.pdf [73 KiB] HiDef png [124 KiB] Thumbnail [135 KiB] *.C file 

Fig2b.pdf [72 KiB] HiDef png [122 KiB] Thumbnail [134 KiB] *.C file 

Pseudodecaytime 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) 
Fig3a.pdf [794 KiB] HiDef png [1 MiB] Thumbnail [525 KiB] *.C file 

Fig3b.pdf [714 KiB] HiDef png [921 KiB] Thumbnail [383 KiB] *.C file 

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). 
Fig4.pdf [296 KiB] HiDef png [143 KiB] Thumbnail [138 KiB] *.C file 

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. 
Fig5.pdf [293 KiB] HiDef png [170 KiB] Thumbnail [157 KiB] *.C file 

Comparison of the differential crosssections 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}. 
Fig6.pdf [329 KiB] HiDef png [189 KiB] Thumbnail [182 KiB] *.C file 

Differential production crosssection { 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 coloursinglet and colouroctet contributions. AL \cite{bib:Lansberg,bib:Lansberg2} is a coloursinglet model including the dominant NNLO terms. This figure is updated in the Erratum. 
Fig7.pdf [385 KiB] HiDef png [277 KiB] Thumbnail [197 KiB] *.C file 

Differential production crosssection { 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. 
Fig8.pdf [308 KiB] HiDef png [209 KiB] Thumbnail [170 KiB] *.C file 

Ratio of $\psi(2S) \rightarrow \mu^+ \mu^$ to $ J\mskip 3mu/\mskip 2mu\psi\mskip 2mu \rightarrow \mu^+ \mu^$ crosssections for prompt production (a) and for $b$hadron decay (b), as a function of $ p_{\mathrm{T}}$ . This figure is updated in the Erratum. 
Fig9.pdf [56 KiB] HiDef png [297 KiB] Thumbnail [177 KiB] *.C file 

Pseudodecaytime $t_z$ 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. 
Fig3a_[..].pdf [21 KiB] HiDef png [638 KiB] Thumbnail [335 KiB] *.C file 

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. 
Fig4_e[..].pdf [15 KiB] HiDef png [88 KiB] Thumbnail [55 KiB] *.C file 

Differential production crosssection 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. 
Fig7_e[..].pdf [16 KiB] HiDef png [221 KiB] Thumbnail [159 KiB] *.C file 

Differential production crosssection 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. 
Fig8_e[..].pdf [17 KiB] HiDef png [271 KiB] Thumbnail [172 KiB] *.C file 

Ratio of $\psi {(2S)} \rightarrow \mu^+ \mu^$ and $ J\mskip 3mu/\mskip 2mu\psi\mskip 2mu \rightarrow \mu ^+\mu ^ $ crosssections for prompt production (a) and for bhadron decay (b), as a fucntion of $ p_{\mathrm{T}}$ . 
Fig9a_[..].pdf [14 KiB] HiDef png [69 KiB] Thumbnail [41 KiB] *.C file 

Fig9b_[..].pdf [14 KiB] HiDef png [71 KiB] Thumbnail [41 KiB] *.C file 

Animated gif made out of all figures. 
PAPER2011045.gif Thumbnail 
Systematic uncertainties included in the measurement of the crosssection. 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}. 
Table_1.pdf [74 KiB] HiDef png [143 KiB] Thumbnail [69 KiB] tex code 

Crosssection 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. 
Table_2.pdf [69 KiB] HiDef png [101 KiB] Thumbnail [57 KiB] tex code 

Differential crosssections $\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. 
Table_2.pdf [69 KiB] HiDef png [101 KiB] Thumbnail [57 KiB] tex code 
Created on 05 March 2021.