The production cross-sections of $J/\psi$ mesons in proton-proton collisions at a centre-of-mass energy of $\sqrt{s}=5$ TeV are measured using a data sample corresponding to an integrated luminosity of $9.13\pm0.18 \text{pb}^{-1}$, collected by the LHCb experiment. The cross-sections are measured differentially as a function of transverse momentum, $p_{\text{T}}$, and rapidity, $y$, and separately for $J/\psi$ mesons produced promptly and from beauty hadron decays (nonprompt). With the assumption of unpolarised $J/\psi$ mesons, the production cross-sections integrated over the kinematic range $0<p_{\text{T}}<20 \text{GeV}/c$ and $2.0<y<4.5$ are $8.154\pm0.010\pm0.283 \mu\text{b}$ for prompt $J/\psi$ mesons and $0.820\pm0.003\pm0.034 \mu\text{b}$ for nonprompt $J/\psi$ mesons, where the first uncertainties are statistical and the second systematic. These cross-sections are compared with those at $\sqrt{s}=8$ TeV and $13$ TeV, and are used to update the measurement of the nuclear modification factor in proton-lead collisions for $J/\psi$ mesons at a centre-of-mass energy per nucleon pair of $\sqrt{s_{\text{NN}}}=5$ TeV. The results are compared with theoretical predictions.
Distributions of (left) invariant mass and (right) pseudoproper time of the $ { J \mskip -3mu/\mskip -2mu\psi }$ candidate for an example interval corresponding to $2< p_{\mathrm{T}} <3\text{ Ge V /}c $ and $3.0<y<3.5$. Projections of the two-dimensional fit are also shown. |
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Differential cross-sections for (left) prompt and (right) nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ in intervals of $y$. The error bars represent the total uncertainties, which are partially correlated between intervals. |
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Differential cross-sections (left) $\mathrm{d}\sigma/\mathrm{d} p_{\mathrm{T}} $ and (right) $\mathrm{d}\sigma/\mathrm{d} y$ for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with NRQCD and CGC calculations [54,55]. Uncertainties due to LDMEs determination, renormalisation scales, and factorisation scales are included in the NRQCD and CGC predictions. |
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Differential cross-sections (left) $\mathrm{d}\sigma/\mathrm{d} p_{\mathrm{T}} $ and (right) $\mathrm{d}\sigma/\mathrm{d} y$ for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with FONLL calculations [58,59]. The orange band shows the total FONLL calculation uncertainty; the violet band shows the uncertainties of PDFs and that due to $ b $ -quark mass added in quadrature; the blue band shows only the uncertainties on PDFs. |
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Fraction of nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ in intervals of $y$. The error bars represent the total uncertainties, which are partially correlated between intervals. |
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Ratios of differential cross-sections between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with NRQCD and CGC calculations [54,55]. Uncertainties due to the LDMEs determination, renormalisation scales, and factorisation scales are included in the NRQCD and CGC calculations. |
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Ratios of differential cross-sections between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with NRQCD and CGC calculations [54,55]. Uncertainties due to the LDMEs determination, renormalisation scales, and factorisation scales are included in the NRQCD and CGC calculations. |
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Ratios of differential cross-sections between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with FONLL calculations [58,59]. The orange band shows the total FONLL calculation uncertainty; the violet band shows the uncertainties on PDFs and that due to $ b $ -quark mass added in quadrature; the red band shows only the uncertainty due to the $ b $ -quark mass. |
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Ratios of differential cross-sections between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons compared with FONLL calculations [58,59]. The orange band shows the total FONLL calculation uncertainty; the violet band shows the uncertainties on PDFs and that due to $ b $ -quark mass added in quadrature; the red band shows only the uncertainty due to $ b $ -quark mass. |
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Nuclear modification factor $R_{p\text{Pb}}$ as a function of $y$ for (left) prompt and (right) nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons, together with the theoretical predictions from (yellow dashed line and brown band) Ref. [61], (blue band) Ref. [62], and (violet solid line with band) Ref. [63,64]. In the data points the full error bars represent the statistical and systematic uncertainties added in quadrature, while the smaller ones represent the statistical uncertainties. |
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Animated gif made out of all figures. |
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Relative systematic uncertainties on the measurement of the $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-section. The symbol $\oplus$ means addition in quadrature. The detailed uncertainties for each ( $ p_{\mathrm{T}}$ ,$y$) interval are in Appendix A. |
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Double-differential production cross-sections $\frac{\mathrm{d}^2\sigma}{\mathrm{d} p_{\mathrm{T}} \mathrm{d} y}$[nb/( $\text{Ge V /}c$ ) per unit rapidity] for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons in ( $ p_{\mathrm{T}}$ ,$y$) intervals. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, the third are uncorrelated systematic uncertainties, and the last are correlated between $ p_{\mathrm{T}}$ intervals and uncorrelated between $y$ intervals. |
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Double-differential production cross-sections $\frac{\mathrm{d}^2\sigma}{\mathrm{d} p_{\mathrm{T}} \mathrm{d} y}$[nb/( $\text{Ge V /}c$ ) per unit rapidity] for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons in ( $ p_{\mathrm{T}}$ ,$y$) intervals. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, the third are uncorrelated systematic uncertainties, and the last are correlated between $ p_{\mathrm{T}}$ intervals and uncorrelated between $y$ intervals |
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Single-differential production cross-sections $\frac{\mathrm{d}\sigma}{\mathrm{d} p_{\mathrm{T}} }$[nb/( $\text{Ge V /}c$ )] for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons in the rapidity range $2-4.5$. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, and the last are uncorrelated systematic uncertainties. |
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Single-differential production cross-sections $\frac{\mathrm{d}\sigma}{\mathrm{d} p_{\mathrm{T}} }$[nb/( $\text{Ge V /}c$ )] for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons in the rapidity range $2-4.5$. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, and the last are uncorrelated systematic uncertainties. |
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Single-differential production cross-sections $\frac{\mathrm{d}\sigma}{\mathrm{d} y}$[nb per unit rapidity] for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, and the last are uncorrelated systematic uncertainties. |
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Single-differential production cross-sections $\frac{\mathrm{d}\sigma}{\mathrm{d} y}$[nb per unit rapidity] for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons. The first uncertainties are statistical, the second are correlated systematic uncertainties shared between intervals, and the last are uncorrelated systematic uncertainties. |
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Fraction of nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons (in %) in ( $ p_{\mathrm{T}}$ ,$y$) intervals. The first uncertainty is statistical and the second is systematic. |
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Nuclear modification factor $R_{p\text{Pb}}$ as a function of $y$ with $ p_{\mathrm{T}} <14\text{ Ge V /}c $. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ with $2.0<y<4.5$. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $y$ with $ p_{\mathrm{T}} <8\text{ Ge V /}c $. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ with $2.0<y<4.5$. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $y$ with $ p_{\mathrm{T}} <8\text{ Ge V /}c $. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ with $2.0<y<4.5$. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 8 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $y$ with $ p_{\mathrm{T}} <14\text{ Ge V /}c $. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $ p_{\mathrm{T}}$ with $2.0<y<4.5$. The first uncertainty is statistical and the second is systematic. |
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Cross-section ratios between 13 $\text{ Te V}$ and 5 $\text{ Te V}$ measurements for nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ mesons as a function of $y$ with $ p_{\mathrm{T}} <14\text{ Ge V /}c $. The first uncertainty is statistical and the second is systematic. |
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Relative changes of cross-sections (in %), for a polarisation of $\lambda_{\theta}=-0.2$ rather than zero, in ( $ p_{\mathrm{T}}$ ,$y$) intervals. |
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Relative change of cross-sections (in %), for a polarisation of $\lambda_{\theta}=-1$ rather than zero, in ( $ p_{\mathrm{T}}$ ,$y$) intervals. |
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Relative changes of cross-sections (in %), for a polarisation of $\lambda_{\theta}=+1$ rather than zero, in ( $ p_{\mathrm{T}}$ ,$y$) intervals. |
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Supplementary material full pdf |
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This ZIP file contains supplementary material for the publication LHCb-PAPER-2021-020. The files are: An overview of the extra figures: supplementary.pdf Figures in various formats: Fig1-S.pdf, Fig1-S.png, Fig1-S.eps, Fig1-S.C Fig2a-S.pdf, Fig2a-S.png, Fig2a-S.eps, Fig2a-S.C Fig2b-S.pdf, Fig2b-S.png, Fig2b-S.eps, Fig2b-S.C The LaTeX source: supplementary-app.tex |
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Created on 19 April 2024.