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In pp collisions simulated with PYTHIA 8, selecting events with high underlying-event activity (2.5 < R_T ≤ 5.0) produces a long-range near-side ridge in the charge-independent two-particle number correlator R₂^CI, without any hydrodynamic

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2026-08-02 21:35 UTC pith:XH7QIFPX

load-bearing objection Useful PYTHIA baseline for R2/P2 with RT classification, but the causal claim about MPI/CR is untested and the R_T/N_ch correlation is not controlled. the 4 major comments →

arxiv 2602.19566 v2 pith:XH7QIFPX submitted 2026-02-23 hep-ph

Relative transverse activity as a probe of collectivity-like long-range correlations in pp collisions at sqrt{s}=13 TeV

Subhadeep Roy , Sadhana Dash This is my paper
classification hep-ph
keywords underlying eventrelative transverse activitytwo-particle correlationslong-range ridgecollectivityPYTHIA 8color reconnectionmultiple partonic interactions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper uses PYTHIA 8 to study two-particle number and transverse-momentum correlations in 13 TeV proton-proton collisions, sorting events by relative transverse activity R_T, a measure of underlying-event (UE) activity. It finds that the charge-independent number correlator R₂^CI develops a finite long-range near-side component — a ridge — only in the most UE-dominated class (2.5 < R_T ≤ 5.0). No such long-range structure appears in the charge-dependent correlators, and the momentum correlator P₂^CI remains jet-like. The authors argue that enhanced UE activity, driven by multiple partonic interactions and color reconnection, can generate collectivity-like correlations without hydrodynamic expansion. The point of the study is to supply a non-hydrodynamic PYTHIA baseline for interpreting ridge-like signals in small-system LHC measurements.

Core claim

The central claim is that a finite long-range near-side component emerges in the charge-independent correlator R₂^CI for UE-dominated events classified by 2.5 < R_T ≤ 5.0, while no corresponding long-range structure is observed in the charge-dependent correlators R₂^CD and P₂^CD. The authors interpret this as evidence that enhanced underlying-event activity — mainly multiple partonic interactions and color reconnection in PYTHIA 8 — can generate collectivity-like long-range correlations without hydrodynamic evolution. As R_T increases, the CI near-side peak narrows in Δφ, while CD peaks stay localized with mild broadening; away-side structures weaken. The transverse-momentum correlator P₂^CI

What carries the argument

The relative transverse activity R_T, defined as the charged-particle density in the azimuthal transverse region (60° < |Δφ| < 120° around the leading particle) normalized by its event-ensemble average, is the classifier that separates events by underlying-event activity. The observables are the two-particle number correlator R₂ and transverse-momentum correlator P₂, decomposed into charge-independent and charge-dependent combinations. R₂ weights all pairs equally and is sensitive to soft UE contributions; P₂ weights pairs by Δp_T Δp_T and is sensitive to harder, more collimated particles. The contrast between CI and CD correlators, together with R_T binning, is what isolates the long-range,

Load-bearing premise

The load-bearing premise is that the highest-R_T class isolates enhanced underlying-event activity as the cause of the ridge, even though that class also has the highest charged-particle multiplicity and the paper shows no multiplicity-matched control, so the long-range component could be a high-multiplicity selection effect rather than a UE-specific one.

What would settle it

Running the identical analysis with PYTHIA 8 configurations in which multiple partonic interactions and/or color reconnection are switched off: if the long-range near-side component in R₂^CI for 2.5 < R_T ≤ 5.0 persists, the attribution to MPI/CR is wrong; if it disappears, the claim is supported. Alternatively, repeating the R_T binning at fixed N_ch would falsify the UE-specific interpretation if the ridge vanishes when multiplicity is held constant.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If correct, ridge-like signals in high-multiplicity pp and p–Pb collisions can be reproduced by microscopic QCD mechanisms (MPI plus color reconnection) without invoking a hydrodynamic medium.
  • R_T becomes a practical differential event classifier: UE-dominated events (2.5 < R_T ≤ 5.0) can be selected to isolate soft-QCD-driven long-range correlations.
  • The near-side Δφ narrowing of R₂^CI with increasing R_T predicts an observable trend in experimental two-particle correlations across event-activity classes.
  • The absence of long-range structure in CD correlators predicts that any measured ridge in pp collisions should be charge-independent, with balance functions remaining short-range.
  • The different behavior of R₂ versus P₂ provides a way to separate soft UE effects from jet-dominated correlations in data.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • A testable extension would be to run the same analysis with PYTHIA configurations in which multiple partonic interactions or color reconnection are disabled; if the high-R_T ridge disappears, the causal attribution would be confirmed.
  • Because N_ch rises monotonically with R_T in the shown multiplicity distributions, the ridge seen in the highest R_T class could partly be a high-multiplicity selection effect; a multiplicity-matched control across R_T bins would settle this.
  • The same R_T classification could be applied to experimental pp data and to other generators (e.g., with and without string shoving or rope hadronization) to see how model-dependent the ridge is.
  • The narrowing of the CI near-side peak in Δφ as R_T increases suggests that high-UE events are more azimuthally collimated even in the soft sector; this could be compared with color-reconnection-sensitive observables.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. The paper uses PYTHIA 8 with the Monash 2013 tune to study two-particle number (R2) and transverse-momentum (P2) correlation functions in pp collisions at sqrt(s)=13 TeV, classifying events by the relative transverse activity RT. The central observation is that a long-range near-side component appears in the charge-independent correlator R2^CI only for the highest RT class (2.5 < RT <= 5.0), while the charge-dependent correlators show no such component. The authors interpret this as evidence that enhanced underlying-event activity, driven by multiple partonic interactions and color reconnection, can generate collectivity-like long-range correlations without hydrodynamic evolution, and they propose RT as a differential event classifier for non-hydrodynamic baselines.

Significance. If the interpretation holds, the paper would provide a useful PYTHIA baseline for LHC small-system studies and would sharpen the debate on whether ridge-like signals in pp collisions can arise from soft-QCD mechanisms. The differential comparison of CI and CD correlators as a function of RT is a sensible approach, and the observation of a long-range near-side component in R2^CI for high-RT events is qualitatively visible in the projections of Fig. 6. However, the strength of the claim currently exceeds what the analysis establishes: the RT classes are strongly correlated with total multiplicity, the statistical and systematic uncertainties are not quantified, and the attribution to MPI and color reconnection is not tested by any model variation. The paper is therefore a promising baseline study, but the central causal interpretation needs additional controls and a more cautious formulation.

major comments (4)
  1. [§II, Fig. 3; §IV.A, Fig. 6] The central claim is that enhanced UE activity, not high multiplicity per se, produces the long-range component. However, Fig. 3 shows that N_ch increases monotonically with RT, so the highest-RT class is also the highest-multiplicity class. The paper explicitly acknowledges this correlation but does not provide a multiplicity-matched control. Without such a control, the ridge observed in the 2.5 < RT <= 5.0 class could be a high-multiplicity selection effect rather than a UE-specific effect. Please add an N_ch-matched comparison (e.g., bin events at fixed RT in sub-bins of N_ch, or compare equal-N_ch samples with different RT) or clearly restrict the claim to 'RT-selected high-activity events' rather than 'UE activity causes the ridge.'
  2. [§IV.A, Fig. 6; §IV.C, Figs. 9–12] No statistical uncertainties are shown in any of the correlation plots or RMS-width figures. With about 5e6 selected events, statistical errors can and should be quantified; they are essential for supporting the 'finite long-range component emerges' statement and the 'no corresponding structure' conclusion. In addition, the ZYAM subtraction is not fully specified: the polynomial order and the fit range in the near-side region are not given. Since the 'exclusively' claim and the RMS widths depend directly on this subtraction, please specify the procedure and test the sensitivity of the long-range signal to the ZYAM choices.
  3. [§IV.A and §V (Summary)] The abstract and summary assert that the long-range component is 'driven by multiple partonic interactions and color reconnection,' but no generator-level test is performed. This attribution is an unsupported hypothesis: PYTHIA 8 contains many coupled mechanisms, and the observed pattern could also reflect other features of the Monash tune (e.g., string shoving, hadronization parameters). Please either run controlled variations (e.g., switching color reconnection on/off, varying the MPI regularization scale) or explicitly state that the MPI/CR interpretation is a plausible but untested mechanism.
  4. [§IV.A, Fig. 6 (left)] The statement that the long-range near-side component appears 'exclusively' for the highest RT class is too strong given the analysis shown. The lowest-RT class also exhibits sizable correlations at |Delta eta| > 1.2, which are dismissed as hard-scattering/jet contributions without a quantitative separation. A quantitative definition of the long-range yield, with its statistical significance, is needed before claiming exclusivity. Also, the adjacent intermediate class (1.5 < RT <= 2.5) shows a small but nonzero residual in the ZYAM-corrected projection; the distinction between 'substantially reduced' and 'absent' should be backed by uncertainties.
minor comments (5)
  1. [§V (Summary)] Typo: 'activi y' should be 'activity.'
  2. [Fig. 3] The vertical-axis label appears malformed ('1/N_ev d^2 N_ch/(d eta d phi)'); the normalization and logarithmic scale should be clearly defined.
  3. [Eq. (5)] The notation p_T,min and p_T,max is used but not defined explicitly; please state that these are the lower and upper bounds of the p_T acceptance.
  4. [Eq. (6)] The integration domain Omega for the average over eta_bar and phi_bar is not specified. Please define it (presumably the acceptance region |eta_i|<0.8 and the full azimuth).
  5. [References] Reference [10] is missing publication year/volume; several references have incomplete journal information (e.g., [7], [8], [9]). Please unify the bibliography style.

Circularity Check

0 steps flagged

No significant circularity: the correlation signals are emergent outputs of PYTHIA 8, not constructed from the fitted observables or from self-citations.

full rationale

The paper is a PYTHIA 8 simulation study and does not derive a quantity from the same quantity it claims to predict. R_T is defined by Eq. (1) from the transverse-region multiplicity N_T before the correlation measurement, and the R_2 and P_2 correlators are defined independently by Eqs. (4) and (5). The long-range near-side component in R_2^CI for the highest R_T class is an output of the generator simulation; no parameter is fitted to that ridge and then renamed as a prediction. The Monash 2013 tune is an external calibration to LHC data, and it is not adjusted to reproduce the specific correlation structure claimed in the paper. The paper does invoke prior work for the R_T observable [20], the correlator definitions [16], and the physics interpretation of color reconnection [15], but none of these citations are by the present authors, so no self-citation chain carries the argument. The interpretation that MPI and color reconnection generate the ridge is an attribution about internal model dynamics, not a circular derivation: the paper does not test generator variants with MPI or CR disabled, which is a correctness/evidence concern, not a circularity. Similarly, the fact that N_ch increases monotonically with R_T (Fig. 3) and the absence of a multiplicity-matched control are potential confounds for the causal claim about UE activity, but they do not make the observed correlator equal to its input by construction. No fitted input is called a prediction, no uniqueness theorem is imported from the authors' own work, and no ansatz is smuggled in via self-citation. The central observation is self-contained with respect to the generator output and is therefore appropriately scored 0.

Axiom & Free-Parameter Ledger

4 free parameters · 4 axioms · 0 invented entities

No new entities are introduced. Free parameters are either inherited from the tuned generator or chosen by hand in the analysis; none are fitted to the target ridge. The main assumptions concern the adequacy of PYTHIA and the event-classification procedure.

free parameters (4)
  • PYTHIA 8 Monash 2013 tune parameters (e.g., color reconnection strength, MPI regularization) = not stated (from global LHC fits)
    The ridge-like signal is attributed to MPI and CR; the model's behavior depends on these tuned parameters, which were fit to LHC data elsewhere and are not varied here.
  • RT bin boundaries = 0.5, 1.5, 2.5, 5.0
    The four RT intervals and the upper cut RT<=5 are chosen by hand; the 'exclusively highest RT' claim depends on these boundaries.
  • ZYAM polynomial fit order and fit range = not specified
    The pedestal subtraction for the long-range residual uses an unspecified polynomial fit; the existence of the residual may depend on this choice.
  • Ensemble-averaged transverse activity <N_T> = 7.39
    Normalizes RT; computed from the event ensemble before the correlation analysis, so it does not fit the ridge but defines the classifier.
axioms (4)
  • domain assumption PYTHIA 8 with Monash 2013 tune provides an adequate description of soft-QCD and underlying-event activity in pp collisions.
    The entire study is a simulation; the baseline's utility rests on generator validity.
  • domain assumption The leading-particle selection (5<=pT<=40 GeV/c) and the transverse region (60<|Δφ|<120 deg) isolate UE activity.
    Section II; RT definition relies on this region being UE-dominated.
  • domain assumption ZYAM subtraction with a polynomial fit removes the uncorrelated pedestal without removing real signal.
    Section IV.A and IV.C; the long-range residual yield is defined relative to this subtraction.
  • domain assumption Charge-independent/charge-dependent decomposition isolates charge-conservation dynamics.
    Section III, Eqs. 7-10; the interpretation that the ridge is charge-independent rests on this decomposition.

pith-pipeline@v1.3.0-alltime-deepseek · 13436 in / 13060 out tokens · 112156 ms · 2026-08-02T21:35:11.961205+00:00 · methodology

0 comments
read the original abstract

Understanding the origin of collectivity-like signatures in small collision systems is a central open question in high-energy nuclear physics, and two-particle correlation functions offer unique sensitivity to the underlying-event (UE) dynamics that may drive such behavior in proton--proton (pp) collisions. In this work, the two-particle number ($R_{2}$) and transverse-momentum ($P_{2}$) correlation functions are studied in pp collisions at $\sqrt{s}=13$ TeV using PYTHIA 8, for final state charged hadrons within $|\eta|<0.8$ and $0.2<p_{\rm T}<2.0$ GeV/$c$, with events classified by the relative transverse activity $R_{\mathrm{T}}$ to probe how UE activity shapes correlation structures in the soft-QCD-dominated regime. A collectivity-like long-range near-side component is observed in the charge-independent correlator $R_{2}^{\mathrm{CI}}$ exclusively for the highest $R_{\mathrm{T}}$ class ($2.5 < R_{\mathrm{T}} \leq 5.0$), while no corresponding structure appears in the charge-dependent correlators. This indicates that enhanced UE activity, driven by multiple partonic interactions and color reconnection, can generate collectivity-like long-range correlations without hydrodynamic evolution. These findings establish $R_{\mathrm{T}}$ as a differential event classifier to provide a non-hydrodynamic baseline for interpreting such signatures in small-system measurements at the LHC.

Figures

Figures reproduced from arXiv: 2602.19566 by Sadhana Dash, Subhadeep Roy.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic illustration of the Toward, Transverse, and [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Probability distribution of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Charged-particle multiplicity ( [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Charge-independent two-particle number correlation functions ( [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Charge-independent two-particle transverse-momentum correlation functions ( [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (Left) ∆ [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Charge-dependent two-particle number correlation functions ( [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Charge-dependent two-particle transverse-momentum correlation functions ( [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. One-dimensional projections of the near-side correlation peaks of the charge-independent correlators [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. One-dimensional projections of the near-side correlation peaks of the charge-dependent correlation functions [PITH_FULL_IMAGE:figures/full_fig_p010_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. Root-mean-square (RMS) widths of the near-side correlation peaks of the charge-independent correlators [PITH_FULL_IMAGE:figures/full_fig_p010_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12. Root-mean-square (RMS) widths of the near-side correlation peaks of the charge-dependent correlators [PITH_FULL_IMAGE:figures/full_fig_p011_12.png] view at source ↗

discussion (0)

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Reference graph

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