arxiv: 2512.05199 · v3 · submitted 2025-12-04 · ✦ hep-ph · hep-ex· nucl-th

Recognition: 2 theorem links

· Lean Theorem

Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics

Yang-Ting Chien , Sonny Mantry

Authors on Pith no claims yet

Pith reviewed 2026-05-17 01:05 UTC · model grok-4.3

classification ✦ hep-ph hep-exnucl-th

keywords jet charge1-jettinessdeep inelastic scatteringfactorization theoremquark flavorparton distribution functionshadronization

0 comments

The pith

A factorization theorem for simultaneous jet charge and 1-jettiness measurements in DIS introduces a universal charged jet function.

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

The paper shows that combining a jet charge measurement with the 1-jettiness global event shape in deep inelastic scattering gives access to quark flavor information in both the initial nucleon and the final hadronization. Binning the 1-jettiness spectrum by jet charge improves separation among different quark flavors in unpolarized and polarized parton distributions. Binning the jet charge spectrum by 1-jettiness instead isolates flavor dependence in the hadronization step. The authors derive an all-order factorization theorem valid when 1-jettiness is much smaller than the jet transverse momentum; the theorem introduces a new charged jet function that generalizes the ordinary jet function and is universal enough to be extracted from electron-positron data.

Core claim

We derive a factorization theorem for simultaneous measurements of τ₁ and Q in the resummation region, τ₁ ≪ P_{J_T}, which contains a new universal charged jet function, generalizing the standard jet function to include a jet charge measurement. Therefore these universal functions can be extracted from a global analysis of N-jettiness and thrust at e⁺e⁻ colliders. The 1-Jettiness distribution binned according to jet charge allows for enhanced quark flavor separation of the initial state PDFs, while the jet charge distribution binned by 1-Jettiness probes quark flavor dynamics in the final state hadronization process.

What carries the argument

The charged jet function, a generalization of the standard jet function that incorporates an explicit measurement of the jet region's net electric charge and enables factorization of the joint observable.

If this is right

The 1-jettiness distribution binned by jet charge enhances separation of quark flavors in both unpolarized and longitudinally polarized initial-state PDFs.
The jet charge distribution binned by 1-jettiness isolates flavor dependence in the final-state hadronization process.
The measurements apply directly to existing HERA data and planned Electron-Ion Collider analyses.
The new charged jet function can be determined from a global fit to N-jettiness and thrust observables at e⁺e⁻ colliders.

Where Pith is reading between the lines

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

This joint observable may tighten constraints on polarized PDFs at the EIC by exploiting the additional flavor sensitivity of jet charge.
Direct comparison of charged jet functions extracted from e⁺e⁻ versus DIS data would provide a clean test of universality across different hard processes.
The same factorization structure could be extended to other global event shapes or to processes with multiple jets.

Load-bearing premise

The charged jet function is universal and can be extracted from global analyses of N-jettiness and thrust at e⁺e⁻ colliders without significant process dependence or higher-order corrections that spoil the separation of initial- and final-state dynamics.

What would settle it

If jet charge distributions measured in DIS, when compared against predictions that use charged jet functions fitted solely from e⁺e⁻ data, show systematic discrepancies beyond expected higher-order or power corrections, the claimed universality would be falsified.

Figures

Figures reproduced from arXiv: 2512.05199 by Sonny Mantry, Yang-Ting Chien.

**Figure 2.** Figure 2: FIG. 2. The fraction of jets initiated by the [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. The fraction of jets initiated by the [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. The normalized 1-Jettiness [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5. The normalized 1-Jettiness [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗

**Figure 6.** Figure 6: FIG. 6. The normalized 1-Jettiness [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗

**Figure 8.** Figure 8: FIG. 8. 1-Jettiness Jet Charge distributions according to 1- [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗

**Figure 9.** Figure 9: FIG. 9. The average (top panel) and standard deviation (bot [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗

read the original abstract

We propose measuring the jet electric charge of jet regions, defined within the framework of global event shapes, as a probe of quark flavor dynamics within the nucleon and the hadronization process. In particular, we consider a measurement of the jet region charge while simultaneously keeping track of the energy flow throughout the event, as characterized by the global event shape. As a concrete example, we focus on the measurement of the 1-Jettiness jet charge ($Q$), the jet charge of the jet region ($J$) defined within the framework of the 1-Jettiness global event shape ($\tau_1$) for the Deep Inelastic Scattering (DIS) process, $e^- + p \to e^- + J + X$, with unpolarized or longitudinally polarized protons. The 1-Jettiness distribution, binned according to jet charge, allows for enhanced quark flavor separation of the initial state unpolarized or polarized PDFs. On the other hand, the jet charge distribution binned by 1-Jettiness can serve as a probe of quark flavor dynamics in the final state hadronization process. We derive a factorization theorem for simultaneous measurements of $\tau_1$ and $Q$ in the resummation region, $\tau_1 \ll P_{J_T}$, where $P_{J_T}$ denotes the transverse momentum of the jet region. The factorization theorem contains a new universal charged jet function, generalizing the standard jet function to include a jet charge measurement. Therefore these universal functions can be extracted from a global analysis of N-jettiness and thrust at $e^+e^-$ colliders. We provide simulation studies to demonstrate the sensitivity of the 1-Jettiness jet charge observable to quark flavor dynamics in nucleon structure and explore the possibility of probing the final state hadronization process. This observable is well-suited for applications with existing HERA data and the future Electron-Ion Collider (EIC).

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.

Desk Editor's Note private letter to a colleague

The paper proposes measuring jet charge inside 1-jettiness regions in DIS and introduces a new charged jet function in the factorization that they say can be fit from e+e- data.

read the letter

The main thing to know is that this paper proposes a joint measurement of 1-jettiness and jet charge in DIS as a way to sharpen quark flavor separation in the initial state PDFs and to look at final-state hadronization. They derive a factorization theorem in the resummation region that includes a new universal charged jet function generalizing the usual jet function to track charge Q, and they run simulations to show sensitivity to flavor dynamics. This setup is aimed at HERA reanalysis and EIC planning. The combination of the global event shape with charge is new relative to the SCET papers they cite, and the idea of extracting the charged jet function from e+e- N-jettiness and thrust data is a practical angle if it works. The paper lays out the motivation cleanly and sticks to standard SCET techniques for the event shape part. The soft spot is the claimed universality of the charged jet function. In DIS the 1-jettiness definition ties the jet region to a global shape that includes initial-state radiation and target fragmentation, so charge flow from the remnant or non-universal power corrections could mix in and prevent clean extraction from e+e- data. The abstract asserts the separation holds, but the stress-test concern about process dependence looks worth checking in the explicit derivation and any numerical tests. Without seeing the size of those effects or the matching conditions, it's hard to judge how robust the claim is. This is for QCD phenomenologists working on SCET resummation, flavor observables, and EIC projections. A reader interested in new two-dimensional measurements for PDF flavor separation or hadronization studies would get concrete value from the observable and the factorization structure. It has enough formal content and a clear physics target that it deserves a serious referee rather than a desk reject.

Referee Report

2 major / 2 minor

Summary. The manuscript proposes measuring the electric charge Q of jet regions defined via the global 1-jettiness event shape τ₁ in unpolarized or polarized DIS (e⁻ + p → e⁻ + J + X). It derives a factorization theorem for the joint (τ₁, Q) distribution in the resummation region τ₁ ≪ P_{J_T} that introduces a new universal charged jet function generalizing the standard jet function. The authors assert that this function can be extracted from N-jettiness and thrust analyses at e⁺e⁻ colliders, and they present Monte Carlo simulation studies demonstrating sensitivity of the binned observables to initial-state quark flavor in PDFs and to final-state hadronization, with suggested applications to HERA and EIC data.

Significance. If the factorization holds and the charged jet function proves universal, the proposal would supply a new handle on quark flavor separation in nucleon structure functions and on hadronization dynamics by correlating a local charge measurement with a global event shape. The simulation studies constitute a concrete strength by showing practical sensitivity; combined with the claim of extractability from e⁺e⁻ data, the work could usefully complement existing jet-charge and N-jettiness programs at the EIC.

major comments (2)

[Factorization theorem section] Section on the factorization theorem (around the derivation of the joint τ₁–Q theorem): the separation of the charged jet function J_Q from initial-state PDFs and beam-remnant contributions is asserted on the basis of the global 1-jettiness definition, but no explicit power-counting or matching calculation is shown that quantifies possible charge-flow leakage from target fragmentation or initial-state radiation into the jet region. This directly affects the claimed universality and the extraction strategy from e⁺e⁻ data.
[Simulation studies] Simulation studies section: the reported sensitivity to quark flavor is shown only at the level of qualitative distributions; no quantitative figure of merit (e.g., reduction in PDF uncertainty or χ² improvement when including the new observable) or comparison against existing HERA jet-charge data is provided, leaving the practical impact on the central claim unquantified.

minor comments (2)

[Abstract and Introduction] The abstract and introduction should explicitly state the perturbative order at which the factorization theorem is derived and the resummation accuracy achieved.
[Observable definition] Notation for the jet region boundary and the precise definition of Q (sum of charges inside the 1-jettiness jet region) should be clarified with an equation or diagram to avoid ambiguity when comparing to standard jet-charge definitions.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments, which we believe will improve the clarity and rigor of the presentation. We address each major comment below and describe the revisions we intend to implement.

read point-by-point responses

Referee: [Factorization theorem section] Section on the factorization theorem (around the derivation of the joint τ₁–Q theorem): the separation of the charged jet function J_Q from initial-state PDFs and beam-remnant contributions is asserted on the basis of the global 1-jettiness definition, but no explicit power-counting or matching calculation is shown that quantifies possible charge-flow leakage from target fragmentation or initial-state radiation into the jet region. This directly affects the claimed universality and the extraction strategy from e⁺e⁻ data.

Authors: We agree that an explicit power-counting analysis would strengthen the justification for the separation. In the revised manuscript we will add a dedicated subsection to the factorization theorem section that derives the power suppression of charge-flow leakage from target fragmentation and initial-state radiation into the jet region, using the global definition of 1-jettiness in the τ₁ ≪ P_{J_T} limit. This addition will also clarify the universality of the charged jet function and support its extraction from e⁺e⁻ data. revision: yes
Referee: [Simulation studies] Simulation studies section: the reported sensitivity to quark flavor is shown only at the level of qualitative distributions; no quantitative figure of merit (e.g., reduction in PDF uncertainty or χ² improvement when including the new observable) or comparison against existing HERA jet-charge data is provided, leaving the practical impact on the central claim unquantified.

Authors: We acknowledge that the present simulation results are qualitative. In the revised version we will augment the simulation studies section with quantitative figures of merit, including estimated reductions in PDF uncertainties and χ² improvements when the new observable is included in fits, as well as a direct comparison to existing HERA jet-charge data to better quantify the practical impact. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the factorization derivation

full rationale

The paper derives a factorization theorem for simultaneous τ₁ and Q measurements in the resummation region using standard SCET techniques for global event shapes, introducing a new charged jet function as a generalization of the standard jet function. This is presented as a first-principles result that separates initial- and final-state dynamics, with universality asserted to enable extraction from e⁺e⁻ data. No step reduces by construction to a fitted input, self-definition, or load-bearing self-citation; the central claim retains independent theoretical content beyond the inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard SCET factorization assumptions for event shapes plus the new assertion that the charged jet function is universal across processes. No explicit free parameters or invented particles are introduced in the abstract; the charged jet function is presented as a derived universal object rather than a postulated entity.

axioms (2)

domain assumption Factorization of the cross section into hard, jet, and soft functions holds in the region τ₁ ≪ P_{J_T}
Invoked to derive the theorem for simultaneous τ₁ and Q measurements.
domain assumption The charged jet function is universal and process-independent
Required for extraction from e⁺e⁻ data and application to DIS.

pith-pipeline@v0.9.0 · 5657 in / 1578 out tokens · 62904 ms · 2026-05-17T01:05:41.132740+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

The factorization theorem contains a new universal charged jet function, generalizing the standard jet function to include a jet charge measurement. ... dσresum [Q, τ₁, P_{J_T}, y_J] ∼ H ⊗ B ⊗ G ⊗ S
IndisputableMonolith/Foundation/ArithmeticFromLogic.lean reality_from_one_distinction unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

We derive a factorization theorem for simultaneous measurements of τ₁ and Q in the resummation region, τ₁ ≪ P_{J_T}

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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