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arxiv: 2510.25669 · v1 · pith:SCW4EM7Nnew · submitted 2025-10-29 · ✦ hep-ph · nucl-th

Minijet thermalization and jet transport coefficients in QCD kinetic theory

Kirill Boguslavski , Florian Lindenbauer , Aleksas Mazeliauskas , Adam Takacs , Fabian Zhou This is my paper

Pith reviewed 2026-05-18 03:20 UTC · model grok-4.3

classification ✦ hep-ph nucl-th
keywords minijetsjet transport coefficientsQCD kinetic theoryquark-gluon plasmathermalizationjet quenchingrecoil contributionsheavy-ion collisions
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0 comments X

The pith

Including recoiling medium particles in jet transport coefficients restores consistency with full QCD kinetic evolution of minijets in the quark-gluon plasma.

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

This paper applies weakly coupled QCD kinetic theory to track how high-momentum on-shell partons, or minijets, lose energy and thermalize inside a hot gluon plasma. The simulations include both elastic scatterings and collinear radiation, with soft exchanges modeled by isotropic hard thermal loop screening. Results are compared against standard jet-quenching parameters such as the transverse momentum broadening q-hat, energy loss, and drag coefficient. Standard definitions of these coefficients omit the momentum carried away by recoiling medium particles, leading to inconsistency with the full kinetic evolution. Adding the recoil contributions brings the transport-coefficient predictions into agreement with the simulated particle trajectories. The work also reports that minijet thermalization time follows a simple scaling with q-hat and produces a rough estimate for quenching times in heavy-ion collisions.

Core claim

In QCD kinetic theory simulations of minijets propagating through a thermal gluon plasma, incorporating both collinear radiation and elastic scatterings, standard definitions of jet transport coefficients neglect contributions from recoiling medium particles. Including these contributions restores consistency with the kinetic evolution. The minijet thermalization time scales remarkably well with the jet-quenching parameter q-hat.

What carries the argument

QCD kinetic theory evolution of minijets with isotropic hard thermal loop screening for soft exchanges, explicit elastic scatterings, and collinear radiation.

Load-bearing premise

The isotropic hard thermal loop screening accurately captures the net effect of soft quark and gluon exchanges on the minijet evolution.

What would settle it

Running the same kinetic simulation with and without explicit recoil tracking and checking whether the extracted q-hat, energy loss, and drag then match the standard transport-coefficient formulas would directly test the inconsistency claim.

Figures

Figures reproduced from arXiv: 2510.25669 by Adam Takacs, Aleksas Mazeliauskas, Fabian Zhou, Florian Lindenbauer, Kirill Boguslavski.

Figure 1
Figure 1. Figure 1: FIG. 1. Transverse momentum broadening coefficient ˆq [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Longitudinal momentum broadening coefficient ˆq [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Longitudinal momentum broadening coefficient ˆq [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Longitudinal momentum drag coefficient [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Momentum broadening [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Transverse momentum broadening [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. The late-time evolution of longitudinal and transverse [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Momentum broadening coefficients for a purely gluonic plasma and gluon jet. The two different screening prescription [PITH_FULL_IMAGE:figures/full_fig_p017_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Numerical evaluation of the quark to gluon conversion rate with Debye-like (+) and HTL ( [PITH_FULL_IMAGE:figures/full_fig_p019_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Initial condition of the jet perturbation from Eq. (25) weighted by [PITH_FULL_IMAGE:figures/full_fig_p022_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. Transverse momentum broadening coefficient ˆq [PITH_FULL_IMAGE:figures/full_fig_p022_11.png] view at source ↗
read the original abstract

We apply weakly coupled QCD kinetic theory to investigate the thermalization of high-momentum on-shell partons (minijets) in a Quark-Gluon Plasma (QGP). Our approach incorporates isotropic hard thermal loop screening to model soft quark and gluon exchanges, allowing us to verify consistency with established analytic results of jet transport coefficients. We perform kinetic simulations of minijets propagating through a thermal gluon plasma, incorporating both collinear radiation and elastic scatterings. The resulting evolution is compared to predictions from jet transport coefficients, including the longitudinal and transverse jet-quenching parameters $\hat{q}$, energy loss, and the drag coefficient. We find that standard definitions of jet transport coefficients neglect the contributions from recoiling medium particles. Including these contributions restores consistency with the kinetic evolution. Finally, we show that the minijet thermalization time scales remarkably well with $\hat{q}$ and we produce a phenomenological estimate of the minijet quenching time in heavy-ion collisions.

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 applies weakly coupled QCD kinetic theory with isotropic hard thermal loop screening to simulate the evolution of high-momentum on-shell minijets in a thermal gluon plasma, including both elastic scatterings and collinear radiation. It compares the resulting kinetic evolution to predictions based on standard jet transport coefficients (longitudinal and transverse q-hat, energy loss, and drag). The central claim is that conventional definitions of these coefficients omit contributions from recoiling medium particles; including recoils restores consistency between the transport-coefficient predictions and the full kinetic evolution. The authors further report that minijet thermalization time scales well with q-hat and provide a phenomenological estimate for the minijet quenching time in heavy-ion collisions.

Significance. If the central claim holds, the work would identify a systematic correction to jet transport coefficients that has been overlooked in prior analytic and phenomenological treatments. The reported scaling of thermalization time with q-hat offers a potentially useful simplification for modeling jet quenching. The use of kinetic theory to cross-check against established analytic results for transport coefficients is a methodological strength that supports the consistency tests.

major comments (2)
  1. [Methods / kinetic evolution and recoil accounting] The restoration of consistency after including recoils is the load-bearing claim. The manuscript must explicitly detail, in the section describing the Boltzmann solver and recoil extraction, how recoil momentum transfers are isolated (e.g., by post-scattering differencing of medium parton momenta) and added to the effective transport coefficients without double-counting medium back-reaction already evolved by the kinetic equation itself.
  2. [Comparison of kinetic evolution to transport coefficients] The comparison to 'standard definitions' of q-hat, energy loss, and drag risks circularity because those coefficients are frequently derived within similar kinetic-theory frameworks. The paper should specify, with reference to the relevant equations or cited analytic expressions, which independent definitions are used for the baseline and how the recoil term is constructed to be independent of the current simulation.
minor comments (2)
  1. Clarify the precise implementation of isotropic HTL screening for soft exchanges and confirm that it reproduces the expected analytic limits for elastic scattering rates.
  2. Add error bands or statistical uncertainties to the scaling plots of thermalization time versus q-hat to substantiate the 'remarkably well' claim.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and for the constructive comments, which help strengthen the presentation of our methodological approach. We agree that greater explicitness is needed on the recoil isolation procedure and on the independence of the baseline transport coefficients. We will revise the manuscript accordingly to address both points.

read point-by-point responses

  1. Referee: [Methods / kinetic evolution and recoil accounting] The restoration of consistency after including recoils is the load-bearing claim. The manuscript must explicitly detail, in the section describing the Boltzmann solver and recoil extraction, how recoil momentum transfers are isolated (e.g., by post-scattering differencing of medium parton momenta) and added to the effective transport coefficients without double-counting medium back-reaction already evolved by the kinetic equation itself.

    Authors: We agree that the current manuscript would benefit from more explicit detail on this procedure. In the revised version we will expand the Boltzmann solver section to state that, after each elastic scattering, the recoil momentum transfer is isolated by subtracting the pre-scattering four-momentum of the medium gluon from its post-scattering four-momentum. These differences are accumulated separately and added to the effective longitudinal and transverse jet-quenching parameters. The medium back-reaction is evolved self-consistently within the full kinetic equation for the distribution function; the recoil contribution to the transport coefficients is computed from the initial thermal ensemble plus the isolated momentum transfers only, thereby avoiding double-counting. revision: yes

  2. Referee: [Comparison of kinetic evolution to transport coefficients] The comparison to 'standard definitions' of q-hat, energy loss, and drag risks circularity because those coefficients are frequently derived within similar kinetic-theory frameworks. The paper should specify, with reference to the relevant equations or cited analytic expressions, which independent definitions are used for the baseline and how the recoil term is constructed to be independent of the current simulation.

    Authors: We will add a clarifying paragraph that removes any ambiguity. The baseline coefficients are taken from the established analytic expressions in the perturbative QCD literature for elastic scattering and collinear radiation rates in a thermal medium (without explicit recoil tracking), specifically the formulas for q-hat, dE/dx, and the drag coefficient as derived in the works cited in our introduction and methods. These expressions are independent of our numerical simulation. The recoil term is obtained by direct post-processing of the simulation events: we sum the momentum transfers to medium partons recorded in each scattering, which constitutes a numerical extraction rather than an analytic derivation from the same framework. We will reference the precise equations used for both the baseline and the added recoil contribution. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper's central chain compares full QCD kinetic simulations of minijet evolution (including collinear radiation and elastic scatterings with isotropic HTL screening) against analytic jet transport coefficients. The observation that recoil contributions from medium particles must be added to restore agreement is a direct numerical test rather than a definitional identity. The reported scaling of thermalization time with q-hat is an empirical result extracted from the same simulations, not a parameter fitted to force the scaling. No load-bearing step reduces by construction to a prior self-citation, an ansatz smuggled via citation, or a renaming of a known result; the derivation remains self-contained against the independent kinetic evolution.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard assumptions of weakly coupled QCD kinetic theory and isotropic HTL screening for soft exchanges; no new free parameters or invented entities are introduced in the abstract.

axioms (2)
  • domain assumption Weakly coupled QCD kinetic theory applies to minijet propagation in thermal gluon plasma
    Invoked to justify the simulation framework and comparison to analytic transport coefficients.
  • domain assumption Isotropic hard thermal loop screening adequately models soft quark and gluon exchanges
    Stated as the modeling choice that enables verification against established analytic results.

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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