The production of $\psi(2S)$ mesons is studied in dimuon final states using protonlead collision data collected by the LHCb detector. The data sample corresponds to an integrated luminosity of $1.6 \mathrm{nb}^{1}$. The nucleonnucleon centreofmass energy of the protonlead collisions is $\sqrt{s_{NN}}=5 \mathrm{TeV}$. The measurement is performed using $\psi(2S)$ mesons with transverse momentum less than $14 \mathrm{GeV}/c$ and rapidity $y$ in the ranges $1.5<y<4.0$ and $5.0<y<2.5$ in the nucleonnucleon centreofmass system. The forwardbackward production ratio and the nuclear modification factor are determined for $\psi(2S)$ mesons. Using the production crosssection results of $\psi(2S)$ and $J/\psi$ mesons from $b$hadron decays, the $b\bar{b}$ crosssection in pPb collisions at $\sqrt{s_{NN}}=5 \mathrm{TeV}$ is obtained.
Projections of the fit results to (top) the dimuon invariant mass $ M_{\mu\mu}$ and (bottom) the pseudo proper decay time $ t_z$ in (left) $ p\mathrm{Pb} $ forward and (right) backward data. In all plots the total fitted function is shown by the (black) solid line, the combinatorial background component is shown as the (green) hatched area, the prompt signal component by the (blue) shaded area, and the $b$component by the (red) light solid line. 
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Differential crosssection of $\psi {(2S)}$ meson production as a function of (left) $p_{\mathrm{ T}}$ and (right) $ y$ in $ p\mathrm{Pb}$ forward collisions. The (black) dots represent inclusive $\psi {(2S)}$ , the (blue) triangles indicate prompt $\psi {(2S)}$ , and the (red) squares show $\psi {(2S)}$ from $b$. The error bars indicate the total uncertainties. 
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Differential crosssection of $\psi {(2S)}$ meson production as a function of (left) $p_{\mathrm{ T}}$ and (right) $ y$ in $ p\mathrm{Pb}$ backward collisions. The error bars indicate the total uncertainties. 
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Forwardbackward production ratios $ R_{ {FB}} $ as functions of (left) $y$ and (right) $p_{\mathrm{ T}}$ for inclusive $\psi {(2S)} $ mesons, together with inclusive $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ results [19] and the theoretical predictions [3,4,5], only some of which are available for $y$. The inner error bars (delimited by the horizontal lines) show the statistical uncertainties; the outer ones show the statistical and systematic uncertainties added in quadrature. 
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Ratio (left) between nuclear modification factors of $\psi {(2S)}$ and $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ as a function of $y$ for prompt $\psi {(2S)} $ mesons and $\psi {(2S)}$ from $ b $ . The blue triangles represent prompt $\psi {(2S)}$ and the red rectangles indicate $\psi {(2S)}$ from $ b $ . Ratio (right) between nuclear modification factors of $\psi {(2S)}$ and $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ as a function of $y$ for inclusive $\psi {(2S)} $ mesons. The black dots show the LHCb result, the hollow circles indicate the ALICE result, and the brown triangle is the PHENIX result at $0.2\mathrm{\,Te V} $. The inner error bars (delimited by the horizontal lines) show the statistical uncertainties; the outer ones show the statistical and systematic uncertainties added in quadrature. 
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Nuclear modification factor $ R_{p\mathrm{Pb}}$ as a function of $y$ for inclusive $\psi {(2S)} $ and $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ mesons. The black dots represent the $\psi {(2S)}$ result, the red squares indicate the $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ result, and the blue hollow circles show the ALICE result for $\psi {(2S)}$ . The inner error bars (delimited by the horizontal lines) show the statistical uncertainties; the outer ones show the statistical and systematic uncertainties added in quadrature. 
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Nuclear modification factor $ R_{p\mathrm{Pb}}$ as a function of $y$ for (left) prompt $\psi {(2S)} $ and (right) $\psi {(2S)}$ from $b$, together with the theoretical predictions from (yellow dashed line and brown band) Refs. [3,47], (blue band) Ref. [5], and (green solid and blue dashdotted lines) Ref. [4], where only those from Ref. [47] are available for $\psi {(2S)}$ from $ b $ . The inner error bars (delimited by the horizontal lines) show the statistical uncertainties; the outer ones show the statistical and systematic uncertainties added in quadrature. 
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Animated gif made out of all figures. 
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Summary of the relative systematic uncertainties on crosssection measurements (%). 
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Integrated production crosssections for prompt $\psi {(2S)}$ , $\psi {(2S)}$ from $b$, and inclusive $\psi {(2S)}$ in the forward region and the backward region. The $p_{\mathrm{ T}}$ range is $ p_{\mathrm{ T}} <14 {\mathrm{\,Ge V\!/}c} $. The first uncertainty is statistical and the second is systematic. 
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Production crosssections $\sigma( b \overline b )$ of $ b \overline b $ pairs in $ p\mathrm{Pb}$ collisions obtained from the production crosssections of $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ and $\psi {(2S)}$ from $b$. The superscript $\psi$ denotes $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ or $\psi {(2S)}$ . The first uncertainties are statistical, the second are systematic, and the third are due to the production branching fractions. The last row gives the averaged results, with the first uncertainty uncorrelated and the second correlated. 
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Created on 21 April 2019.Citation count from INSPIRE on 24 April 2019.