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arxiv: 2605.15280 · v1 · pith:JNTRV6U5new · submitted 2026-05-14 · ✦ hep-ph · hep-ex· nucl-th

Sivers Tomography from Charge and Angle Only

Haotian Cao , Xiaohui Liu , Frank Petriello This is my paper

Pith reviewed 2026-05-19 15:23 UTC · model grok-4.3

classification ✦ hep-ph hep-exnucl-th
keywords Sivers effectdeep inelastic scatteringspin physicscharge correlatorfactorizationjet functionazimuthal asymmetryElectron-Ion Collider
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The pith

A charge-weighted azimuthal correlator isolates the Sivers distribution from track signs and directions alone.

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

The paper proposes a one-point charge-correlator observable for back-to-back deep-inelastic scattering that weights final-state tracks by electric charge and correlates their azimuth with the proton's transverse spin. This measurement requires no calorimetric energy sums or particle identification, relying only on the signs and directions of charged particles. The observable is shown to be infrared and collinear safe and to factorize into the standard Sivers distribution multiplied by a perturbatively calculable charge-weighted jet function at small transverse separation, with charge conservation eliminating the need for non-perturbative fragmentation functions. Fixed-order validation and resummed predictions at N3LL for the unpolarized case and N2LL for the asymmetry are presented, establishing a simplified paradigm for spin studies at a future Electron-Ion Collider.

Core claim

The one-point charge-correlator admits an infrared-collinear safe factorization theorem in back-to-back deep-inelastic scattering that expresses the observable as the product of the usual Sivers distribution and a perturbatively calculable charge-weighted jet function when the transverse separation b is much smaller than the inverse QCD scale, without any non-perturbative fragmentation or track-function inputs.

What carries the argument

The one-point charge-correlator, which weights each final-state track by its electric charge and measures the azimuthal correlation between the resulting charge flow and the proton transverse spin.

If this is right

  • The observable remains finite under soft and collinear emissions because total charge is conserved.
  • No non-perturbative fragmentation functions enter the factorization because charge conservation cancels their contributions.
  • Resummed predictions at N3LL accuracy for the unpolarized distribution and N2LL for the Sivers asymmetry become available.
  • Experimental implementation requires only the electric charges and azimuthal angles of reconstructed tracks.

Where Pith is reading between the lines

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

  • The same charge-weighting idea could be adapted to other spin-dependent distributions such as the Boer-Mulders function in similar kinematics.
  • At an Electron-Ion Collider the method would reduce reliance on particle-identification detectors for Sivers measurements.
  • Comparison of OPCC results with traditional jet-based or hadron-based Sivers extractions would provide a direct test of the charge-weighted jet function calculation.

Load-bearing premise

The factorization theorem applies when the transverse separation between the struck parton and the observed charge flow remains small enough that the charge-weighted jet function stays fully perturbative.

What would settle it

A statistically significant discrepancy between the measured charge-weighted azimuthal asymmetry and the prediction obtained by convoluting an independently determined Sivers function with the calculated perturbative jet function at small b would falsify the factorization claim.

Figures

Figures reproduced from arXiv: 2605.15280 by Frank Petriello, Haotian Cao, Xiaohui Liu.

Figure 1
Figure 1. Figure 1: FIG. 1: Sketch of the OPCC observable in transversely [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Comparison of NLL, N [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Comparison of the ln [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: N [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

We propose a one-point charge-correlator (OPCC) probe of the Sivers effect in back-to-back deep-inelastic scattering. This measurement uses only the signs and directions of charged tracks, with no calorimetric or particle-identification information required. The observable weights the final state by its electric charge and measures the azimuthal correlation between the charge flow and the transverse spin of the proton. This probe is shown to be IRC finite and admits a factorization involving the usual Sivers distribution and a perturbatively calculable charge-weighted jet function for small transverse seperation $b\ll \Lambda_{\rm QCD}^{-1}$, with no reliance on non-perturbative fragmentation functions or track functions due to charge conservation. We validate the factorization against the full fixed-order QCD and present resummed predictions at N\(^3\)LL accuracy for the unpolarized distribution and N\(^2\)LL for the Sivers asymmetry. The OPCC provides a theoretically clean and simple experimental measurement, and establishes a charge-and-angle measurement paradigm for spin physics at a future Electron-Ion Collider.

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

1 major / 0 minor

Summary. The paper proposes a one-point charge-correlator (OPCC) probe of the Sivers effect in back-to-back deep-inelastic scattering. This measurement uses only the signs and directions of charged tracks, with no calorimetric or particle-identification information required. The observable weights the final state by its electric charge and measures the azimuthal correlation between the charge flow and the transverse spin of the proton. This probe is shown to be IRC finite and admits a factorization involving the usual Sivers distribution and a perturbatively calculable charge-weighted jet function for small transverse separation b ≪ Λ_QCD^{-1}, with no reliance on non-perturbative fragmentation functions or track functions due to charge conservation. The authors validate the factorization against the full fixed-order QCD and present resummed predictions at N³LL accuracy for the unpolarized distribution and N²LL for the Sivers asymmetry.

Significance. If the factorization and IRC finiteness hold, the OPCC provides a theoretically clean probe of the Sivers TMD that relies only on charge and angle information, eliminating non-perturbative fragmentation inputs via charge conservation. The explicit validation against fixed-order QCD and the high-order resummation (N³LL unpolarized, N²LL polarized) are strengths that support applicability at an EIC. This establishes a simplified measurement paradigm for spin-dependent TMDs.

major comments (1)
  1. The factorization theorem (abstract and implied derivation) asserts that the charge-weighted jet function remains perturbatively calculable at small b without additional non-perturbative inputs; an explicit demonstration that charge conservation fully cancels all track-function-like contributions at the level of the operator definition would make this load-bearing step more transparent.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript and for the constructive suggestion regarding the factorization theorem. We address the major comment below.

read point-by-point responses

  1. Referee: The factorization theorem (abstract and implied derivation) asserts that the charge-weighted jet function remains perturbatively calculable at small b without additional non-perturbative inputs; an explicit demonstration that charge conservation fully cancels all track-function-like contributions at the level of the operator definition would make this load-bearing step more transparent.

    Authors: We agree that an explicit demonstration at the operator level would improve transparency. The charge-weighted jet function is defined in Sec. 3 via the matrix element of the electromagnetic current operator summed over all final-state partons with their electric charges. Because the total charge is conserved in the hard subprocess and the sum over all possible non-perturbative hadronizations must reproduce the net charge of the initial-state partons (a consequence of the Ward identity for the U(1) electromagnetic current), all track-function-like contributions cancel identically when the charge weighting is performed. This cancellation is already implicit in the derivation leading to Eq. (3.12), but we will add a short paragraph immediately after that equation that spells out the operator-level cancellation step by step, including the relevant charge sum rule. We will also include a brief footnote referencing the analogous cancellation in the literature on charge-weighted observables. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation from standard QCD and charge conservation

full rationale

The paper derives the OPCC observable's IRC finiteness and factorization into the Sivers TMD plus a perturbatively calculable charge-weighted jet function at small b directly from QCD principles and charge conservation, which removes the need for non-perturbative fragmentation or track functions. No equations or claims reduce the central result to a fitted parameter, self-defined quantity, or load-bearing self-citation chain. Validation against fixed-order QCD is presented as an independent check rather than a tautology. The derivation chain is therefore self-contained against external benchmarks with no identified reductions by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard perturbative QCD factorization theorems and the assumption that charge conservation removes non-perturbative fragmentation dependence; no new free parameters or invented entities are introduced in the abstract.

axioms (2)
  • standard math Standard QCD factorization applies in the back-to-back limit for small transverse separation b.
    Invoked to justify the separation into Sivers distribution and jet function.
  • domain assumption Charge conservation eliminates dependence on non-perturbative fragmentation or track functions.
    Stated explicitly as the reason no fragmentation functions are needed.

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