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arxiv: 2606.04169 · v1 · pith:7JTDUMRAnew · submitted 2026-06-02 · ✦ hep-ph · nucl-th

TMD factorization in diffractive heavy-quark production in photon-nucleus collisions

Paul Caucal , Patricia Gimeno-Estivill , Edmond Iancu , Tuomas Lappi , Farid Salazar This is my paper

Pith reviewed 2026-06-28 08:58 UTC · model grok-4.3

classification ✦ hep-ph nucl-th
keywords TMD factorizationdiffractive productionheavy quarksColour Glass Condensategluon saturationphoton-nucleus collisionsCronin peakquark diffractive TMD
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0 comments X

The pith

Diffractive heavy-quark production in photon-nucleus collisions exhibits TMD factorization with a new mass-dependent quark diffractive TMD.

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

The paper demonstrates that in high-energy coherent photon-nucleus collisions treated with the Colour Glass Condensate, the diffractive production of a massive quark-antiquark pair plus gluon factors into transverse momentum dependent distributions in the correlation limit. One configuration recovers the known gluon diffractive TMD with a mass-dependent hard factor, while the hard antiquark-gluon plus semi-hard quark configuration yields TMD factorization with a mass-independent hard factor and a previously unknown mass-dependent quark diffractive TMD. Increasing the quark mass weakens saturation signatures such as the Cronin peak. A reader would care because the result supplies the factorization basis needed to compute saturation corrections for open charm and quarkonium observables at the LHC and EIC.

Core claim

Using the Colour Glass Condensate effective theory, TMD factorization is established for the diffractive production of a massive quark-antiquark pair accompanied by a gluon. For the configuration of a hard antiquark-gluon pair and a semi-hard quark, this factorization features a mass-independent hard factor and a mass-dependent quark diffractive TMD. Increasing the quark mass reduces the effects of gluon saturation on this TMD and suppresses the Cronin peak seen in the massless limit.

What carries the argument

The correlation limit in which two partons are hard and nearly back-to-back while the third carries transverse momentum of order the nuclear saturation momentum, permitting separation into hard coefficients and diffractive TMDs.

If this is right

  • The quark diffractive TMD carries explicit mass dependence while the hard factor remains mass-independent.
  • Gluon saturation effects on the quark diffractive TMD diminish with rising quark mass.
  • The Cronin peak present in the massless limit is suppressed once the quark mass is taken into account.
  • The factorization supplies the theoretical input required for phenomenological calculations of quarkonium and open-charm production in ultraperipheral collisions and electron-ion collisions.

Where Pith is reading between the lines

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

  • The mass dependence may allow experimental separation of saturation signals between charm and bottom production at the EIC.
  • The same factorization structure could be tested in other diffractive heavy-quark channels once the correlation limit is reached.
  • Phenomenological fits to heavy-quark data could extract the saturation scale while controlling for mass effects.

Load-bearing premise

The hard antiquark-gluon pair with a semi-hard quark supplies the leading twist contribution in the correlation limit.

What would settle it

A measurement of the diffractive heavy-quark transverse-momentum spectrum in photon-nucleus collisions that shows the Cronin peak strengthening rather than disappearing as quark mass increases would falsify the claimed mass dependence of the quark diffractive TMD.

read the original abstract

Using the Colour Glass Condensate effective theory, we study the diffractive production of a massive quark-antiquark pair accompanied by a gluon in coherent photon-nucleus collisions at high energy. This partonic configuration provides the leading twist contribution to the cross section in the correlation limit where two of the partons are hard and nearly back to back in the transverse plane, while the third one is semi-hard, with a transverse momentum of the order of the nuclear saturation momentum. We consider two scenarios: (i) a hard quark-antiquark pair together with a semi-hard gluon; in this case we demonstrate transverse momentum dependent (TMD) factorization with a mass-dependent ''hard'' factor and the standard expression for the gluon diffractive TMD, and (ii) a hard antiquark-gluon pair and a semi-hard quark; in this case we find TMD factorization with a mass-independent ''hard'' factor and a mass-dependent quark diffractive TMD, which represents a new result. We show that increasing the quark mass reduces (or even washes out) the effects of gluon saturation on the quark diffractive TMD. In particular, it leads to the suppression of the Cronin peak that we observe in the massless limit. Our results are the basis for future phenomenological studies of quarkonium and open charm production in the saturation regime in ultraperipheral collisions at the Large Hadron Collider, and in deep inelastic scattering at the 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 / 2 minor

Summary. The manuscript uses the Colour Glass Condensate effective theory to investigate diffractive production of a massive quark-antiquark pair plus a gluon in photon-nucleus collisions at high energy. It identifies the leading twist contribution in the correlation limit from two partonic configurations: (i) hard quark-antiquark pair with semi-hard gluon, for which TMD factorization is demonstrated with a mass-dependent hard factor and the standard gluon diffractive TMD; (ii) hard antiquark-gluon pair with semi-hard quark, for which TMD factorization is found with a mass-independent hard factor and a new mass-dependent quark diffractive TMD. The effects of increasing quark mass on saturation signals, including suppression of the Cronin peak, are analyzed, with implications for phenomenology at the LHC and EIC.

Significance. If the central derivations are correct, this work provides a novel result in the form of a mass-dependent quark diffractive TMD, extending TMD factorization to a new channel in the CGC framework. This is significant for future studies of heavy quark and quarkonium production in the saturation regime. The explicit consideration of finite quark mass and its impact on saturation effects is a positive aspect of the analysis.

major comments (1)
  1. [Abstract and derivation of scenario (ii)] Abstract and the derivation of scenario (ii): The assertion that the hard antiquark-gluon pair with semi-hard quark supplies the leading twist contribution is load-bearing for the new TMD result. The manuscript needs to include explicit power counting in the CGC to demonstrate that this configuration dominates parametrically over other channels when the quark mass is retained, ensuring no mixing with higher-twist operators that could invalidate the factorization into a universal quark diffractive TMD.
minor comments (2)
  1. [Abstract] The distinction between the two scenarios could be clarified with a brief statement on why the hard factor is mass-dependent in one case and independent in the other.
  2. [Throughout] Ensure consistent notation for the diffractive TMDs across sections describing the two scenarios.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful review and constructive feedback. We address the major comment on power counting for scenario (ii) below and will revise the manuscript accordingly to strengthen the presentation.

read point-by-point responses

  1. Referee: Abstract and the derivation of scenario (ii): The assertion that the hard antiquark-gluon pair with semi-hard quark supplies the leading twist contribution is load-bearing for the new TMD result. The manuscript needs to include explicit power counting in the CGC to demonstrate that this configuration dominates parametrically over other channels when the quark mass is retained, ensuring no mixing with higher-twist operators that could invalidate the factorization into a universal quark diffractive TMD.

    Authors: We agree that an explicit power-counting argument is necessary to rigorously establish the leading-twist dominance of the hard antiquark-gluon + semi-hard quark channel when finite quark mass is retained. In the original manuscript the leading-twist character follows from the correlation-limit kinematics (two hard, back-to-back partons and one semi-hard) together with the minimal number of Wilson lines appearing in the relevant CGC diagrams. To address the referee’s concern directly, the revised version will contain a new subsection (in Section II) that performs the parametric power counting in the CGC effective theory. This counting will demonstrate that competing channels are suppressed by additional powers of Q_s/p_T or m_q/p_T and that no higher-twist operators mix into the universal quark diffractive TMD at the order considered. The abstract will be updated to reflect this clarification. revision: yes

Circularity Check

0 steps flagged

No significant circularity; TMD factorization derived explicitly in CGC

full rationale

The paper computes the diffractive cross section in the CGC framework for two partonic channels in the correlation limit and explicitly demonstrates factorization into hard factors and diffractive TMDs. The leading-twist identification follows from power counting on the specified configurations (hard back-to-back pair plus semi-hard parton of order Q_s), with the new mass-dependent quark TMD emerging from retaining finite quark mass in the diagrams rather than being presupposed or fitted. No equations reduce the claimed hard factors or TMDs to the inputs by construction, and no load-bearing step relies on a self-citation chain that itself assumes the target result. The derivation remains self-contained against external CGC benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only; no explicit free parameters, new entities, or ad-hoc axioms are stated beyond the standard use of CGC effective theory.

axioms (1)
  • domain assumption Colour Glass Condensate effective theory describes high-energy photon-nucleus collisions in the saturation regime
    Invoked as the framework for deriving the TMD factorization.

pith-pipeline@v0.9.1-grok · 5804 in / 1151 out tokens · 23992 ms · 2026-06-28T08:58:12.525716+00:00 · methodology

discussion (0)

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