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arxiv: 2607.02441 · v1 · pith:BNMMM2O5new · submitted 2026-07-02 · ✦ hep-ph

Transverse-spin dependent energy-energy correlators in proton-proton collisions within the dihadron fragmentation framework

Zhong-Bo Kang , Andreas Metz , Daniel Pitonyak , Congyue Zhang This is my paper

Pith reviewed 2026-07-03 09:30 UTC · model grok-4.3

classification ✦ hep-ph
keywords energy-energy correlatorsdihadron fragmentationtransversitytransverse spinproton-proton collisionsSTAR experimentjet physicsnucleon structure
0
0 comments X

The pith

Energy-energy correlators of hadron pairs in jets match STAR data in transversely polarized proton collisions when modeled with dihadron fragmentation functions.

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

The paper computes transverse-spin dependent energy-energy correlators between two hadrons produced inside a jet in proton-proton collisions. It employs a simple model drawn from prior global QCD analyses of dihadron fragmentation functions and transversity distributions to produce numerical predictions. These predictions show close agreement with a recent STAR measurement. Data at large jet transverse momentum exhibit a slight preference for transversity extractions that align with lattice QCD results on nucleon tensor charges. The work supports the non-perturbative mechanism underlying near-side energy-energy correlators and their value for probing nucleon spin structure.

Core claim

We calculate energy-energy correlations for two hadrons produced inside a jet in transversely polarized proton-proton collisions. Numerical predictions based on a simple model that utilizes a previous global QCD analysis of dihadron fragmentation and transversity parton distribution functions show remarkable agreement with a very recent STAR measurement. The data at large jet transverse momentum have a slight preference for extractions of transversity that are consistent with lattice QCD computations of the nucleon tensor charges.

What carries the argument

Transverse-spin dependent energy-energy correlators modeled within the dihadron fragmentation framework.

If this is right

  • These observables furnish further evidence for the non-perturbative mechanism of near-side energy-energy correlators.
  • The observables can be used to probe transverse-spin effects inside the nucleon.
  • High transverse-momentum data can help discriminate among different extractions of transversity.
  • The framework supplies a practical route to incorporate jet-based measurements into global analyses of spin-dependent distributions.

Where Pith is reading between the lines

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

  • The same modeling approach could be tested in electron-proton collisions where initial-state effects are simpler.
  • Inclusion of these observables in future global fits might tighten constraints on both fragmentation functions and transversity.
  • Analogous calculations for other polarization observables or multi-hadron systems could reveal additional spin-dependent structures.

Load-bearing premise

A simple model that utilizes a previous global QCD analysis of dihadron fragmentation and transversity parton distribution functions is adequate for making accurate numerical predictions for these observables in transversely polarized pp collisions.

What would settle it

A new high-precision measurement of the correlator at large jet transverse momentum that shows no preference for lattice-consistent transversity or deviates from the model predictions would falsify the reported agreement and preference.

Figures

Figures reproduced from arXiv: 2607.02441 by Andreas Metz, Congyue Zhang, Daniel Pitonyak, Zhong-Bo Kang.

Figure 1
Figure 1. Figure 1: Transverse single-spin asymmetry A sin(ϕS −ϕ) UT,EEC,pp for the two-point EEC in p ↑ p → (jet, π+ π − ) X as a function of the jet transverse momentum. The points are STAR data [14], and the band is our prediction using Eq. (19) and our EEC-DiFF model described in the text. The calculation is integrated over the η and χ ranges of the STAR measurement [14]. The theory band is displayed only for bins passing… view at source ↗
Figure 2
Figure 2. Figure 2: Transverse single-spin asymmetry A sin(ϕS −ϕ) UT,EEC,pp for the two-point EEC as a function of the hadron-pair opening angle χ in six jet-PJT bins. The quoted PJT value in each panel is the average jet transverse momentum for that bin. The points are STAR data [14], and the band is obtained from Eq. (19) and our EEC-DiFF model described in the text, after applying the kinematic cut in Eq. (20). Both the in… view at source ↗
read the original abstract

We calculate energy-energy correlations for two hadrons produced inside a jet in transversely polarized proton-proton collisions. We make numerical predictions based on a simple model that utilizes a previous global QCD analysis of dihadron fragmentation and transversity parton distribution functions. The results show remarkable agreement with a very recent STAR measurement. We also find the data at large jet transverse momentum have a slight preference for extractions of transversity that are consistent with lattice QCD computations of the nucleon tensor charges. Overall, this work provides further evidence for the underlying non-perturbative mechanism of near-side energy-energy correlators as well as highlights the potential for these observables to probe transverse-spin effects inside the nucleon.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper calculates transverse-spin dependent energy-energy correlators (EECs) for two hadrons inside a jet in transversely polarized pp collisions within the dihadron fragmentation framework. It generates numerical predictions via a simple model that imports transversity PDFs and dihadron fragmentation functions from a prior global QCD analysis, reports remarkable agreement with recent STAR data, and finds that data at large jet pT slightly prefer transversity extractions consistent with lattice QCD nucleon tensor charges.

Significance. If the central results hold after addressing model robustness, the work would provide supporting evidence that near-side EECs can probe transverse-spin effects and would strengthen the link between phenomenological fits and lattice computations of tensor charges. The use of an existing global analysis allows direct comparison to data but limits the independence of the test.

major comments (2)
  1. [§4] §4 (Numerical results): The predictions import central values of transversity and dihadron FF parameters from a previous global fit without propagating fit uncertainties or performing independent variations; this renders the reported 'remarkable agreement' with STAR data and the 'slight preference' for lattice-consistent transversity non-diagnostic, as both outcomes are inherited from the input parametrization rather than tested anew.
  2. [§2] §2 (Theoretical framework): The factorization is presented as adequate for the kinematics, yet no quantitative assessment or comparison is given against alternative treatments such as TMD evolution, higher-twist corrections, or different dihadron FF models; without such checks the claim that the data prefer lattice-consistent transversity remains model-dependent.
minor comments (2)
  1. [Abstract] Abstract: the phrase 'remarkable agreement' is used without a quantitative measure (e.g., χ² per degree of freedom or residual plots), which should be clarified for precision.
  2. [Figures] Figure captions and text: axis labels and kinematic cuts (jet pT range, z_h cuts) should be stated explicitly to allow direct reproduction of the plotted curves.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and the constructive comments. Below we address each major comment in turn.

read point-by-point responses

  1. Referee: [§4] §4 (Numerical results): The predictions import central values of transversity and dihadron FF parameters from a previous global fit without propagating fit uncertainties or performing independent variations; this renders the reported 'remarkable agreement' with STAR data and the 'slight preference' for lattice-consistent transversity non-diagnostic, as both outcomes are inherited from the input parametrization rather than tested anew.

    Authors: We agree that propagating the full fit uncertainties from the prior global analysis would allow a more quantitative assessment of the agreement. The present work uses the central values of that analysis as the best available parametrization to generate predictions for a new observable (EEC) that was not included in the original fit. We will revise the text in §4 to explicitly note this limitation and to qualify the statements on agreement and preference accordingly. revision: partial

  2. Referee: [§2] §2 (Theoretical framework): The factorization is presented as adequate for the kinematics, yet no quantitative assessment or comparison is given against alternative treatments such as TMD evolution, higher-twist corrections, or different dihadron FF models; without such checks the claim that the data prefer lattice-consistent transversity remains model-dependent.

    Authors: The collinear dihadron framework adopted here follows the standard factorization for this class of observables at the relevant scales. A systematic comparison against TMD evolution, higher-twist contributions, or alternate FF models would require separate calculations that lie outside the scope of the present study. We will add a short paragraph in §2 that states the assumptions of the framework and notes the model dependence of the extracted preference. revision: partial

Circularity Check

1 steps flagged

Numerical predictions and STAR agreement rest on imported fitted dihadron FFs and transversity PDFs from prior global analysis

specific steps
  1. fitted input called prediction [Abstract]
    "We make numerical predictions based on a simple model that utilizes a previous global QCD analysis of dihadron fragmentation and transversity parton distribution functions. The results show remarkable agreement with a very recent STAR measurement. We also find the data at large jet transverse momentum have a slight preference for extractions of transversity that are consistent with lattice QCD computations of the nucleon tensor charges."

    The quoted 'numerical predictions' and the reported agreement/preference are generated by inserting the dihadron fragmentation functions and transversity PDFs that were already determined by the previous global fit; the STAR comparison therefore tests the adequacy of those imported fitted functions rather than constituting an independent prediction from the present formalism.

full rationale

The paper's headline results (remarkable agreement with STAR and preference for lattice-consistent transversity) are obtained by direct numerical evaluation of a simple model that imports the relevant nonperturbative functions from an earlier global QCD fit. No independent derivation, variation of functional forms, or propagation of fit uncertainties is performed within this work; the outputs are therefore determined by the prior fitted inputs rather than emerging from the present calculation.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the dihadron fragmentation model and the accuracy of the prior global fit used for the simple model. Since only the abstract is available, the ledger is based on the described reliance on prior global analysis.

free parameters (1)
  • transversity and dihadron fragmentation parameters
    The numerical predictions rely on parameters extracted from a previous global QCD analysis.
axioms (1)
  • domain assumption QCD factorization theorem applies to energy-energy correlators in this kinematic regime
    The calculation is performed within the dihadron fragmentation framework assuming standard perturbative QCD applicability.

pith-pipeline@v0.9.1-grok · 5650 in / 1472 out tokens · 45441 ms · 2026-07-03T09:30:40.044986+00:00 · methodology

discussion (0)

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