Recognition: 2 theorem links
· Lean TheoremMultiplicity dependence of prompt and non-prompt J/psi production at midrapidity in pp collisions at sqrt{s} = 13 TeV
Pith reviewed 2026-05-10 18:03 UTC · model grok-4.3
The pith
Prompt and non-prompt J/ψ production in proton-proton collisions rises stronger than linearly with charged-particle multiplicity.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Self-normalized yields of both prompt and non-prompt J/ψ increase more steeply than linearly with rising midrapidity charged-particle multiplicity in pp collisions at √s = 13 TeV. The increase is comparable for the two components and is strongest when multiplicity is measured in the azimuthal toward region aligned with the J/ψ, while it is weaker in the transverse and away regions. The multiplicity dependence of the prompt J/ψ to D0 yield ratio is additionally quantified.
What carries the argument
Self-normalized yields of J/ψ mesons separated into prompt and non-prompt components via the dielectron decay channel, evaluated in bins of midrapidity charged-particle multiplicity and further subdivided into three azimuthal regions (toward, transverse, away) relative to the J/ψ momentum direction.
If this is right
- Both direct and beauty-decay J/ψ production mechanisms are enhanced in high-multiplicity pp events beyond simple linear scaling with particle density.
- The similar multiplicity dependence for prompt and non-prompt J/ψ points to a common underlying driver affecting heavy-quark production.
- The azimuthal variation, with stronger rise toward the J/ψ direction, indicates that the enhancement correlates with the direction of the leading particle.
- The reported multiplicity dependence of the prompt J/ψ to D0 ratio constrains models of charm and beauty production in small systems.
Where Pith is reading between the lines
- The observed trends in pp collisions may share a common origin with collective-like behavior reported in high-multiplicity small systems.
- If the enhancement is universal across quarkonia, it could affect the baseline used to interpret suppression signals in heavy-ion collisions.
- Measurements with other heavy-flavor species or at different collision energies would test whether the stronger-than-linear scaling is a general feature of high-multiplicity pp events.
Load-bearing premise
Prompt and non-prompt J/ψ components can be accurately separated in the dielectron channel without multiplicity-dependent biases from efficiency corrections or event selection.
What would settle it
A new measurement that finds only linear or weaker growth in self-normalized J/ψ yields with multiplicity, or that obtains inconsistent prompt versus non-prompt trends when using an independent separation technique such as decay-vertex displacement.
Figures
read the original abstract
The yields of prompt and non-prompt J/$\psi$ and the fraction of non-prompt J/$\psi$ are measured at midrapidity ($|y| < 0.9$) via the dielectron decay channel as a function of the midrapidity charged-particle multiplicity ($|\eta| < 0.9$) in pp collisions at $\sqrt{s} = 13$ TeV. The J/$\psi$ yields and the multiplicity are normalized by their average value in inelastic collisions. The multiplicity-dependent yield ratio between prompt J/$\psi$ and D$^0$ is reported. The multiplicity is further divided into three azimuthal regions with respect to the J/$\psi$ momentum: toward the J/$\psi$ emission direction, transverse, or opposite to it. A stronger-than-linear increase of the self-normalized yields is observed for both prompt and non-prompt J/$\psi$ production, with similar trends. This behaviour is also observed in the toward region, while a weaker increase is observed in the transverse and away regions.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports measurements of prompt and non-prompt J/ψ yields at midrapidity (|y| < 0.9) in pp collisions at √s = 13 TeV via the dielectron channel, as a function of midrapidity charged-particle multiplicity (|η| < 0.9). Both yields and multiplicity are self-normalized to their inelastic averages. Prompt/non-prompt separation uses template fits to the pseudo-proper decay length. The multiplicity is further subdivided into toward, transverse, and away azimuthal regions relative to the J/ψ direction. The central result is a stronger-than-linear rise in self-normalized yields for both prompt and non-prompt J/ψ (with similar trends), more pronounced in the toward region than in the transverse and away regions; the prompt J/ψ to D⁰ yield ratio versus multiplicity is also presented.
Significance. If the trends are robust, the work supplies new experimental input on charmonium production mechanisms in high-multiplicity pp events. The simultaneous treatment of prompt and non-prompt components together with azimuthal-region dependence helps discriminate between multiple-parton-interaction effects and possible collective phenomena in small systems. Self-normalization reduces certain systematic uncertainties and facilitates direct comparison with models and other experiments.
major comments (2)
- [Analysis procedure for prompt/non-prompt separation] The prompt/non-prompt separation via pseudo-proper decay length template fits is load-bearing for the reported trends. The manuscript should explicitly demonstrate that the fit quality, template shapes, and any multiplicity-dependent biases remain under control in the highest multiplicity bins (analysis section describing the separation procedure).
- [Yield extraction and efficiency corrections] Self-normalized yields rely on efficiency corrections and event selection being multiplicity-independent after normalization. The paper must quantify any residual multiplicity-dependent efficiency bias (e.g., via data-driven closure tests) because this directly affects the claimed stronger-than-linear behavior (results section on yield extraction).
minor comments (2)
- Figure captions and legends should explicitly label which curves correspond to prompt versus non-prompt J/ψ and to the three azimuthal regions for immediate readability.
- The abstract states that the prompt J/ψ–D⁰ ratio is reported; the main text should clarify the D⁰ selection criteria and whether the same multiplicity estimator is used for both species.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our manuscript and the recommendation for minor revision. We address the major comments point by point below and will revise the manuscript to incorporate the requested demonstrations and quantifications.
read point-by-point responses
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Referee: [Analysis procedure for prompt/non-prompt separation] The prompt/non-prompt separation via pseudo-proper decay length template fits is load-bearing for the reported trends. The manuscript should explicitly demonstrate that the fit quality, template shapes, and any multiplicity-dependent biases remain under control in the highest multiplicity bins (analysis section describing the separation procedure).
Authors: We agree that explicit validation of the separation procedure is essential. In the revised manuscript we will expand the relevant analysis section with additional figures showing fit quality (including residuals and goodness-of-fit metrics) specifically for the highest multiplicity bins. We will also present comparisons of template shapes across multiplicity classes to demonstrate their stability and summarize Monte Carlo studies that bound any multiplicity-dependent biases to well below the reported uncertainties. revision: yes
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Referee: [Yield extraction and efficiency corrections] Self-normalized yields rely on efficiency corrections and event selection being multiplicity-independent after normalization. The paper must quantify any residual multiplicity-dependent efficiency bias (e.g., via data-driven closure tests) because this directly affects the claimed stronger-than-linear behavior (results section on yield extraction).
Authors: We acknowledge the importance of quantifying residual biases. The revised manuscript will include, in the yield-extraction section, data-driven closure tests (based on embedded simulations) that explicitly evaluate multiplicity-dependent efficiency variations after self-normalization. These tests will provide quantitative upper limits on any residual bias, confirming that it does not affect the observed stronger-than-linear rise. revision: yes
Circularity Check
No significant circularity: direct experimental measurement
full rationale
The paper reports empirical measurements of self-normalized prompt and non-prompt J/ψ yields versus charged-particle multiplicity in pp collisions at 13 TeV, obtained via dielectron reconstruction, pseudo-proper decay length template fits for component separation, and normalization to inelastic averages. No theoretical derivation chain exists; the reported stronger-than-linear trends and azimuthal-region dependence are direct data outputs. Efficiency corrections, event selection, and multiplicity binning follow standard ALICE procedures without any fitted parameter being relabeled as a prediction or any result reducing to its own inputs by construction. Self-citations are limited to prior experimental methods and do not bear the central claim.
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
A stronger-than-linear increase of the self-normalized yields is observed for both prompt and non-prompt J/ψ production, with similar trends. This behaviour is also observed in the toward region, while a weaker increase is observed in the transverse and away regions.
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The multiplicity dependence of the self-normalized yields of J/ψ, ψ(2S), and ϒ(nS) mesons has been measured...
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
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discussion (0)
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