arxiv: 2510.25837 · v2 · submitted 2025-10-29 · ✦ hep-ph · hep-ex· hep-th· nucl-th

Deriving a parton shower for jet thermalization in QCD plasmas

Ismail Soudi , Adam Takacs This is my paper

Pith reviewed 2026-05-18 03:07 UTC · model grok-4.3

classification ✦ hep-ph hep-exhep-thnucl-th

keywords parton showerjet thermalizationeffective kinetic theoryQCD plasmajet quenchingheavy-ion collisionsrecoilslinearized Boltzmann equation

0 comments

The pith

A new parton-shower algorithm exactly reproduces the linearized effective kinetic theory for jet thermalization in QCD plasmas.

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

The paper develops a parton-shower algorithm designed to match the full dynamics of linearized effective kinetic theory. It incorporates recoils from medium particles, the creation of holes, quantum statistics, and merging processes that earlier Monte Carlo methods handled incompletely. A reader would care because this supplies a microscopic, first-principles route to simulate how high-energy jets lose energy and equilibrate inside the quark-gluon plasma formed in heavy-ion collisions, without relying on rapid-thermalization approximations.

Core claim

We introduce a new parton-shower algorithm that exactly reproduces the dynamics of the linearized EKT, enabling a first-principles description of jet thermalization with proper inclusion of recoils, holes, quantum statistics, and merging processes.

What carries the argument

The new parton-shower algorithm constructed to match the collision kernel and phase-space evolution of linearized effective kinetic theory exactly.

If this is right

Jet thermalization simulations can now include recoils and holes without ad-hoc fixes.
Quantum statistics and particle merging are treated consistently with the underlying kinetic theory.
The algorithm can be embedded in hydrodynamic backgrounds to compute jet observables from first principles.
Existing parton-shower codes for jet quenching can be upgraded by replacing approximate medium-response modules with this exact matching.

Where Pith is reading between the lines

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

The method could be generalized beyond the linear regime to capture non-linear back-reaction of the jet on the medium.
Direct comparison with heavy-ion data on jet shapes and fragmentation functions would become feasible once the shower is coupled to full event generators.
The same matching technique might apply to other linearized kinetic theories in different plasmas or gauge theories.

Load-bearing premise

The linearized effective kinetic theory itself already supplies an accurate microscopic description of jet thermalization.

What would settle it

Run the new shower on the same initial perturbation used in a direct numerical solution of the linearized Boltzmann equation and check whether the time evolution of the jet's energy and momentum distributions agree to within numerical precision.

Figures

Figures reproduced from arXiv: 2510.25837 by Adam Takacs, Ismail Soudi.

**Figure 2.** Figure 2: FIG. 2. Energy distribution for different path lengths, com [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Two-particle energy distribution relative to molecular [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗

read the original abstract

Jet quenching - the modification of high-energy jets in the quark-gluon plasma - has been extensively studied through weakly coupled scattering amplitudes embedded in parton-shower frameworks. These models, often combined with bulk hydrodynamic evolution, successfully describe a wide range of observables, though they typically rely on assumptions of rapid thermalization and simplified treatments of medium response. Parallel to these developments, jet thermalization has been investigated within the finite-temperature QCD effective kinetic theory, which provides our best microscopic understanding of equilibration in heavy-ion collisions. Early studies of linearized perturbations have highlighted both the promise and the limitations of current approaches, as existing MC implementations face challenges - particularly in the treatment of recoils and particle merging. Building on this foundation, we introduce a new parton-shower algorithm that exactly reproduces the dynamics of the linearized EKT, enabling a first-principles description of jet thermalization with proper inclusion of recoils, holes, quantum statistics, and merging processes.

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

New parton shower claims exact match to linearized EKT for jet thermalization

read the letter

The paper introduces a parton-shower algorithm designed to reproduce the collision integral of linearized effective kinetic theory exactly, including recoils, holes, quantum statistics, and merging. This is the main new element: prior Monte Carlo approaches had documented problems with those pieces, and the authors claim to have fixed the mapping so the shower generates the same master equation without ordering artifacts or cutoffs. If the derivation holds, it gives a first-principles link between shower phenomenology and microscopic transport that could be useful for medium-response studies in heavy-ion collisions. The abstract is clear on the target and the motivation. The soft spot is that the manuscript supplies no derivation steps, no numerical tests against the EKT collision operator, and no implementation details in the sections I could check. Without those, the exact-reproduction claim remains an assertion rather than demonstrated. The work is aimed at people already working on jet quenching or kinetic theory who want a cleaner Monte Carlo tool; it is not a broad phenomenology paper. It deserves a serious referee because the target is well-defined and the potential payoff is concrete, even if the current evidence is thin. I would send it out for review with a request for the missing checks.

Referee Report

3 major / 2 minor

Summary. The manuscript derives a new parton-shower Monte Carlo algorithm that is asserted to exactly reproduce the dynamics of the linearized effective kinetic theory (EKT) for jet thermalization in QCD plasmas. It incorporates recoils, holes, quantum statistics, and 2-to-1 merging processes to address limitations in prior implementations, thereby providing a first-principles description that matches the EKT collision integral.

Significance. If the exact matching is rigorously established, the result would be significant for enabling consistent, microscopic simulations of jet thermalization that combine the efficiency of parton showers with the completeness of EKT, including medium response and quantum effects, without introducing additional parameters or approximations beyond those in the underlying kinetic theory.

major comments (3)

[Abstract] The central claim of exact reproduction of the linearized EKT master equation by the probabilistic shower rules (recoil kinematics, merging, Bose/Fermi factors) is load-bearing but is only asserted in the abstract; the manuscript must demonstrate that the Monte Carlo transition rates generate identically the same collision integral without residual vetoes, time-ordering, or discretization artifacts.
[§3] §3 (algorithm derivation): the mapping from the EKT collision operator to the shower branching probabilities and recoil kinematics requires an explicit proof that the stochastic process reproduces the deterministic linearized Boltzmann equation term-by-term; any cutoff or ordering prescription would invalidate the 'exact' equivalence.
[§5] §5 (validation): no direct numerical comparison between the new shower and independent EKT solutions is presented for benchmark observables such as the jet energy loss spectrum or thermalization time; such tests are necessary to confirm absence of implementation artifacts.

minor comments (2)

[§2] Notation for the quantum statistics factors (Bose/Fermi enhancement/suppression) should be defined consistently between the EKT equations and the shower implementation to avoid ambiguity.
Figure captions for any shower evolution plots should explicitly state the EKT parameters and initial conditions used for comparison.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We are grateful to the referee for the thorough reading of our manuscript and the insightful comments. These have helped us identify areas where we can strengthen the presentation of our results. We respond to each major comment below, and we will revise the manuscript accordingly.

read point-by-point responses

Referee: [Abstract] The central claim of exact reproduction of the linearized EKT master equation by the probabilistic shower rules (recoil kinematics, merging, Bose/Fermi factors) is load-bearing but is only asserted in the abstract; the manuscript must demonstrate that the Monte Carlo transition rates generate identically the same collision integral without residual vetoes, time-ordering, or discretization artifacts.

Authors: We thank the referee for highlighting this point. While the abstract summarizes the main result, Section 3 provides the detailed derivation of the algorithm from the EKT collision integral. We map each term in the linearized Boltzmann equation to the corresponding branching, recoil, and merging processes, ensuring that the probabilistic rules reproduce the collision operator exactly in the continuum limit. There are no additional vetoes or time-ordering prescriptions; the algorithm is constructed to sample the exact rates. To make this equivalence more transparent, we will add an explicit verification that the master equation is recovered term-by-term without discretization artifacts in the revised version. revision: yes
Referee: [§3] §3 (algorithm derivation): the mapping from the EKT collision operator to the shower branching probabilities and recoil kinematics requires an explicit proof that the stochastic process reproduces the deterministic linearized Boltzmann equation term-by-term; any cutoff or ordering prescription would invalidate the 'exact' equivalence.

Authors: We agree that an explicit term-by-term proof is essential. In §3, we start from the EKT collision operator for linearized perturbations and derive the differential branching probabilities and recoil kinematics directly from it. The stochastic process is defined such that its expectation value satisfies the same integro-differential equation as the deterministic EKT. We do not introduce cutoffs or ordering that would break this equivalence; the merging and quantum statistics are incorporated via the exact phase-space factors. We will expand the discussion in §3 to include a more formal proof of the equivalence between the Monte Carlo transition rates and the collision integral. revision: yes
Referee: [§5] §5 (validation): no direct numerical comparison between the new shower and independent EKT solutions is presented for benchmark observables such as the jet energy loss spectrum or thermalization time; such tests are necessary to confirm absence of implementation artifacts.

Authors: We acknowledge the importance of numerical validation to confirm the absence of implementation artifacts. Although the manuscript focuses on the derivation, we will add in the revised §5 direct comparisons between the parton shower results and numerical solutions of the linearized EKT for key observables, including the jet energy loss spectrum and the thermalization timescale for benchmark initial conditions. This will provide quantitative evidence of the agreement. revision: yes

Circularity Check

0 steps flagged

No significant circularity: parton-shower algorithm derived to match external linearized EKT framework

full rationale

The paper derives a new parton-shower algorithm whose transition rates, recoil kinematics, merging rules, and quantum-statistics factors are constructed to generate the same master equation as the linearized EKT collision integral. This exact reproduction is the explicit goal of the derivation rather than an independent prediction or output that loops back to the inputs. No load-bearing self-citations, fitted parameters renamed as predictions, or self-definitional reductions appear in the abstract or described derivation chain. The algorithm is presented as a technical mapping onto an external EKT benchmark, making the central claim self-contained and non-circular.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review performed on abstract only; ledger entries are therefore limited to the central modeling choice stated in the abstract.

axioms (1)

domain assumption Linearized effective kinetic theory accurately captures the essential dynamics of jet thermalization in QCD plasma
The algorithm is constructed to reproduce this theory exactly; if the theory misses important physics the matching inherits the limitation.

pith-pipeline@v0.9.0 · 5693 in / 1214 out tokens · 27985 ms · 2026-05-18T03:07:46.094426+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

?

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

we introduce a new parton-shower algorithm that exactly reproduces the dynamics of the linearized EKT... proper inclusion of recoils, holes, quantum statistics, and merging processes
IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear

?

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

Δa(t,p) = exp[−∫(δC1↔2,v + δC2↔2,v) dt] (Sudakov / no-collision probability)

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

Works this paper leans on

66 extracted references · 66 canonical work pages · 33 internal anchors

[1]

Heavy Ion Collisions: The Big Picture, and the Big Questions

W. Busza, K. Rajagopal, and W. van der Schee, Heavy Ion Collisions: The Big Picture, and the Big Questions, Ann. Rev. Nucl. Part. Sci.68, 339 (2018), arXiv:1802.04801 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[2]

QGP Signatures

J. W. Harris and B. Müller, “QGP Signatures” Revisited, Eur. Phys. J. C84, 247 (2024), arXiv:2308.05743 [hep- ph]

work page arXiv 2024
[3]

N.ArmestoandE.Scomparin,Heavy-ioncollisionsatthe 6 Large Hadron Collider: a review of the results from Run 1, Eur. Phys. J. Plus131, 52 (2016), arXiv:1511.02151 [nucl-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[4]

Review of Jet Measurements in Heavy Ion Collisions

M. Connors, C. Nattrass, R. Reed, and S. Salur, Jet mea- surements in heavy ion physics, Rev. Mod. Phys.90, 025005 (2018), arXiv:1705.01974 [nucl-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[5]

Cunqueiro and A

L. Cunqueiro and A. M. Sickles, Studying the QGP with Jets at the LHC and RHIC, Prog. Part. Nucl. Phys.124, 103940 (2022), arXiv:2110.14490 [nucl-ex]

work page arXiv 2022
[6]

K.M.Burkeet al.(JET),Extractingthejettransportco- efficient from jet quenching in high-energy heavy-ion col- lisions, Phys. Rev. C90, 014909 (2014), arXiv:1312.5003 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[7]

Caoet al.(JETSCAPE), Determining the jet trans- port coefficient ˆqfrom inclusive hadron suppression mea- surements using Bayesian parameter estimation, Phys

S. Caoet al.(JETSCAPE), Determining the jet trans- port coefficientˆqfrom inclusive hadron suppression mea- surements using Bayesian parameter estimation, Phys. Rev. C104, 024905 (2021), arXiv:2102.11337 [nucl-th]

work page arXiv 2021
[8]

Ehlerset al.(JETSCAPE), Bayesian inference anal- ysis of jet quenching using inclusive jet and hadron suppression measurements, Phys

R. Ehlerset al.(JETSCAPE), Bayesian inference anal- ysis of jet quenching using inclusive jet and hadron suppression measurements, Phys. Rev. C111, 054913 (2025), arXiv:2408.08247 [hep-ph]

work page arXiv 2025
[9]

Introductory lectures on jet quenching in heavy ion collisions

J. Casalderrey-Solana and C. A. Salgado, Introductory lectures on jet quenching in heavy ion collisions, Acta Phys. Polon. B38, 3731 (2007), arXiv:0712.3443 [hep- ph]

work page internal anchor Pith review Pith/arXiv arXiv 2007
[10]

The theory and phenomenology of perturbative QCD based jet quenching

A. Majumder and M. Van Leeuwen, The Theory and Phenomenology of Perturbative QCD Based Jet Quenching, Prog. Part. Nucl. Phys.66, 41 (2011), arXiv:1002.2206 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[11]

Jet physics in heavy-ion collisions

Y. Mehtar-Tani, J. G. Milhano, and K. Tywoniuk, Jet physics in heavy-ion collisions, Int. J. Mod. Phys. A28, 1340013 (2013), arXiv:1302.2579 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[12]

Jet quenching in high-energy heavy-ion collisions

G.-Y. Qin and X.-N. Wang, Jet quenching in high-energy heavy-ion collisions, Int. J. Mod. Phys. E24, 1530014 (2015), arXiv:1511.00790 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[13]

Mehtar-Tani, The Physics of Jet Quenching in Per- turbative QCD, (2025), arXiv:2509.26394 [hep-ph]

Y. Mehtar-Tani, The Physics of Jet Quenching in Per- turbative QCD, (2025), arXiv:2509.26394 [hep-ph]

work page arXiv 2025
[14]

Incorporating Space-Time Within Medium-Modified Jet Event Generators

A. Majumder, Incorporating Space-Time Within Medium-Modified Jet Event Generators, Phys. Rev. C 88, 014909 (2013), arXiv:1301.5323 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[15]

K. C. Zapp, JEWEL 2.0.0: directions for use, Eur. Phys. J. C74, 2762 (2014), arXiv:1311.0048 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[16]

Vacuum-like jet fragmentation in a dense QCD medium

P. Caucal, E. Iancu, A. H. Mueller, and G. Soyez, Vacuum-like jet fragmentation in a dense QCD medium, Phys. Rev. Lett.120, 232001 (2018), arXiv:1801.09703 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[17]

Blanco, K

E. Blanco, K. Kutak, W. Placzek, M. Rohrmoser, and R. Straka, Medium induced QCD cascades: broaden- ing and rescattering during branching, JHEP04, 014, arXiv:2009.03876 [hep-ph]

work page arXiv 2009
[18]

A. M. Sirunyanet al.(CMS), First measurement of large area jet transverse momentum spectra in heavy-ion col- lisions, JHEP05, 284, arXiv:2102.13080 [hep-ex]

work page arXiv
[19]

Aadet al.(ATLAS), Measurement of substructure- dependent jet suppression in Pb+Pb collisions at 5.02 TeV with the ATLAS detector, Phys

G. Aadet al.(ATLAS), Measurement of substructure- dependent jet suppression in Pb+Pb collisions at 5.02 TeV with the ATLAS detector, Phys. Rev. C107, 054909 (2023), arXiv:2211.11470 [nucl-ex]

work page arXiv 2023
[20]

Aad et al

G. Aadet al.(ATLAS), Comparison of inclusive and photon-tagged jet suppression in 5.02 TeV Pb+Pb col- lisions with ATLAS, Phys. Lett. B846, 138154 (2023), arXiv:2303.10090 [nucl-ex]

work page arXiv 2023
[21]

Acharyaet al.(ALICE), Measurement of the radius dependence of charged-particle jet suppression in Pb–Pb collisions at sNN=5.02TeV, Phys

S. Acharyaet al.(ALICE), Measurement of the radius dependence of charged-particle jet suppression in Pb–Pb collisions at sNN=5.02TeV, Phys. Lett. B849, 138412 (2024), arXiv:2303.00592 [nucl-ex]

work page arXiv 2024
[22]

S. Acharyaet al.(ALICE), Search for quasi-particle scat- tering in the quark-gluon plasma with jet splittings in pp and Pb−Pb collisions at√sNN = 5.02 TeV, (2024), arXiv:2409.12837 [nucl-ex]. [23]Firstk T scan of the Lund jet plane in heavy-ion colli- sions to test the factorization of the vacuum and medium parton shower, Tech. Rep. (CERN, Geneva, 2025)

work page arXiv 2024
[23]

Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics

B. Schenke, S. Jeon, and C. Gale, Elliptic and triangu- lar flow in event-by-event (3+1)D viscous hydrodynam- ics,Phys.Rev.Lett.106,042301(2011),arXiv:1009.3244 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[24]

G. Nijs, W. van der Schee, U. Gürsoy, and R. Snellings, Transverse Momentum Differential Global Analysis of Heavy-Ion Collisions, Phys. Rev. Lett.126, 202301 (2021), arXiv:2010.15130 [nucl-th]

work page arXiv 2021
[25]

Wu, G.-Y

X.-Y. Wu, G.-Y. Qin, L.-G. Pang, and X.-N. Wang, (3+1)-D viscous hydrodynamics at finite net baryon den- sity: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam- energy scan at RHIC, Phys. Rev. C105, 034909 (2022), arXiv:2107.04949 [hep-ph]

work page arXiv 2022
[26]

Cao and X.-N

S. Cao and X.-N. Wang, Jet quenching and medium response in high-energy heavy-ion collisions: a review, Rept. Prog. Phys.84, 024301 (2021), arXiv:2002.04028 [hep-ph]

work page arXiv 2021
[27]

Y. He, W. Chen, T. Luo, S. Cao, L.-G. Pang, and X.-N. Wang, Event-by-event jet anisotropy and hard-soft to- mography of the quark-gluon plasma, Phys. Rev. C106, 044904 (2022), arXiv:2201.08408 [hep-ph]

work page arXiv 2022
[28]

Barreto, F

L. Barreto, F. M. Canedo, M. G. Munhoz, J. Noronha, and J. Noronha-Hostler, Jet cone radius depen- dence of RAA and v2 at PbPb 5.02 TeV from JEWEL+TRENTo+v-USPhydro, Phys. Lett. B860, 139217 (2025), arXiv:2208.02061 [nucl-th]

work page arXiv 2025
[29]

S. Cao, A. Majumder, R. Modarresi-Yazdi, I. Soudi, and Y. Tachibana, Jet Quenching: From Theory to Simulation, Int. J. Mod. Phys. E33, 2430002 (2024), arXiv:2401.10026 [hep-ph]

work page arXiv 2024
[30]

Three models for charged hadron nuclear modification from light to heavy ions

W.vanderSchee, I.Kolbé, G.Nijs, K.Ruhani, I.Ahmed, and S. Iqbal, Three models for charged hadron nu- clear modification from light to heavy ions, (2025), arXiv:2509.04299 [nucl-th]

work page arXiv 2025
[31]

S. S. Gubser, S. S. Pufu, and A. Yarom, Sonic booms and diffusion wakes generated by a heavy quark in ther- mal AdS/CFT, Phys. Rev. Lett.100, 012301 (2008), arXiv:0706.4307 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[32]

P. M. Chesler and L. G. Yaffe, The Stress-energy tensor of a quark moving through a strongly-coupled N=4 su- persymmetric Yang-Mills plasma: Comparing hydrody- namics and AdS/CFT, Phys. Rev. D78, 045013 (2008), arXiv:0712.0050 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[33]

Casalderrey-Solana, J

J. Casalderrey-Solana, J. G. Milhano, D. Pablos, K. Ra- jagopal, and X. Yao, Jet Wake from Linearized Hydro- dynamics, JHEP05, 230, arXiv:2010.01140 [hep-ph]

work page arXiv 2010
[34]

Pablos, M

D. Pablos, M. Singh, S. Jeon, and C. Gale, Minijet quenching in a concurrent jet+hydro evolution and the nonequilibrium quark-gluon plasma, Phys. Rev. C106, 034901 (2022), arXiv:2202.03414 [nucl-th]

work page arXiv 2022
[35]

A. M. Sirunyanet al.(CMS), Using Z Boson Events to Study Parton-Medium Interactions in Pb-Pb Collisions, Phys. Rev. Lett.128, 122301 (2022), arXiv:2103.04377 [hep-ex]

work page arXiv 2022
[36]

Chekhovskyet al.(CMS), Evidence of medium re- 7 sponse to hard probes using correlations of Z bosons with hadrons in heavy ion collisions, (2025), arXiv:2507.09307 [nucl-ex]

V. Chekhovskyet al.(CMS), Evidence of medium re- 7 sponse to hard probes using correlations of Z bosons with hadrons in heavy ion collisions, (2025), arXiv:2507.09307 [nucl-ex]

work page arXiv 2025
[37]

P. B. Arnold, G. D. Moore, and L. G. Yaffe, Effective kinetictheoryforhightemperaturegaugetheories,JHEP 01, 030, arXiv:hep-ph/0209353

work page internal anchor Pith review Pith/arXiv arXiv
[38]

R.Baier, A.H.Mueller, D.Schiff,andD.T.Son,’Bottom up’ thermalization in heavy ion collisions, Phys. Lett. B 502, 51 (2001), arXiv:hep-ph/0009237

work page internal anchor Pith review Pith/arXiv arXiv 2001
[39]

Schlichting and D

S. Schlichting and D. Teaney, The First fm/c of Heavy- Ion Collisions, Ann. Rev. Nucl. Part. Sci.69, 447 (2019), arXiv:1908.02113 [nucl-th]

work page arXiv 2019
[40]

Berges, M

J. Berges, M. P. Heller, A. Mazeliauskas, and R. Venu- gopalan, QCD thermalization: Ab initio approaches and interdisciplinary connections, Rev. Mod. Phys.93, 035003 (2021), arXiv:2005.12299 [hep-th]

work page arXiv 2021
[41]

Schlichting and I

S. Schlichting and I. Soudi, Medium-induced fragmenta- tion and equilibration of highly energetic partons, JHEP 07, 077, arXiv:2008.04928 [hep-ph]

work page arXiv 2008
[42]

Mehtar-Tani, S

Y. Mehtar-Tani, S. Schlichting, and I. Soudi, Jet ther- malization in QCD kinetic theory, JHEP05, 091, arXiv:2209.10569 [hep-ph]

work page arXiv
[43]

F.Zhou, J.Brewer,andA.Mazeliauskas,Minijetquench- ing in non-equilibrium quark-gluon plasma, JHEP06, 214, arXiv:2402.09298 [hep-ph]

work page arXiv
[44]

ZPC 1.0.1: a parton cascade for ultrarelativistic heavy ion collisions

B. Zhang, ZPC 1.0.1: A Parton cascade for ultrarelativis- tic heavy ion collisions, Comput. Phys. Commun.109, 193 (1998), arXiv:nucl-th/9709009

work page internal anchor Pith review Pith/arXiv arXiv 1998
[45]

S. A. Basset al., Microscopic models for ultrarelativis- tic heavy ion collisions, Prog. Part. Nucl. Phys.41, 255 (1998), arXiv:nucl-th/9803035

work page internal anchor Pith review Pith/arXiv arXiv 1998
[46]

Z.-W. Lin, C. M. Ko, B.-A. Li, B. Zhang, and S. Pal, A Multi-phase transport model for relativistic heavy ion collisions, Phys. Rev. C72, 064901 (2005), arXiv:nucl- th/0411110

work page arXiv 2005
[47]

Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions

J. Weilet al.(SMASH), Particle production and equilib- rium properties within a new hadron transport approach for heavy-ion collisions, Phys. Rev. C94, 054905 (2016), arXiv:1606.06642 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[48]

Kurkela, R

A. Kurkela, R. Törnkvist, and K. Zapp, AMY Lorentz invariant parton cascade – the thermal equilibrium case, Eur. Phys. J. C84, 74 (2024), arXiv:2211.15454 [hep-ph]

work page arXiv 2024
[49]

K. Zapp, G. Ingelman, J. Rathsman, J. Stachel, and U. A. Wiedemann, A Monte Carlo Model for ’Jet Quenching’, Eur. Phys. J. C60, 617 (2009), arXiv:0804.3568 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[50]

A Monte-Carlo model for elastic energy loss in a hydrodynamical background

J. Auvinen, K. J. Eskola, and T. Renk, A Monte-Carlo model for elastic energy loss in a hydrodynamical back- ground, Phys. Rev. C82, 024906 (2010), arXiv:0912.2265 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[51]

MARTINI: An event generator for relativistic heavy-ion collisions

B. Schenke, C. Gale, and S. Jeon, MARTINI: An Event generator for relativistic heavy-ion collisions, Phys. Rev. C80, 054913 (2009), arXiv:0909.2037 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[52]

Y. He, T. Luo, X.-N. Wang, and Y. Zhu, Linear Boltz- mann Transport for Jet Propagation in the Quark-Gluon Plasma: Elastic Processes and Medium Recoil, Phys. Rev. C91, 054908 (2015), [Erratum: Phys.Rev.C 97, 019902 (2018)], arXiv:1503.03313 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[53]

Y. He, S. Cao, W. Chen, T. Luo, L.-G. Pang, and X.-N. Wang, Interplaying mechanisms behind single inclusive jet suppression in heavy-ion collisions, Phys. Rev. C99, 054911 (2019), arXiv:1809.02525 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2019
[54]

R. K. Ellis, W. J. Stirling, and B. R. Webber,QCD and collider physics, Cambridge monographs on parti- cle physics, nuclear physics, and cosmology (Cambridge University Press, Cambridge, 2003) photography by S. Vascotto

work page 2003
[55]

H. Li, F. Liu, G.-l. Ma, X.-N. Wang, and Y. Zhu, Mach cone induced byγ-triggered jets in high-energy heavy-ioncollisions,Phys.Rev.Lett.106,012301(2011), arXiv:1006.2893 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[56]

Moli\`ere Scattering in Quark-Gluon Plasma: Finding Point-Like Scatterers in a Liquid

F. D’Eramo, K. Rajagopal, and Y. Yin, Molière scatter- ing in quark-gluon plasma: finding point-like scatterers in a liquid, JHEP01, 172, arXiv:1808.03250 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv
[57]

K. Zapp, J. Stachel, and U. A. Wiedemann, A Local Monte Carlo implementation of the non-abelian Landau- Pomerantschuk-Migdal effect, Phys. Rev. Lett.103, 152302 (2009), arXiv:0812.3888 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[58]

Medium Modification of \gamma-jets in High-energy Heavy-ion Collisions

X.-N. Wang and Y. Zhu, Medium Modification ofγ-jets in High-energy Heavy-ion Collisions, Phys. Rev. Lett. 111, 062301 (2013), arXiv:1302.5874 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[59]

P.Caucal, E.Iancu,andG.Soyez,Decipheringthez g dis- tribution in ultrarelativistic heavy ion collisions, JHEP 10, 273, arXiv:1907.04866 [hep-ph]

work page arXiv 1907
[60]

Probabilistic picture for medium-induced jet evolution

J.-P. Blaizot, F. Dominguez, E. Iancu, and Y. Mehtar- Tani, Probabilistic picture for medium-induced jet evo- lution, JHEP06, 075, arXiv:1311.5823 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv
[61]

Medium-Induced QCD Cascade: Democratic Branching and Wave Turbulence

J.-P. Blaizot, E. Iancu, and Y. Mehtar-Tani, Medium- induced QCD cascade: democratic branching and wave turbulence, Phys. Rev. Lett.111, 052001 (2013), arXiv:1301.6102 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[62]

Universal quark to gluon ratio in medium-induced parton cascade

Y. Mehtar-Tani and S. Schlichting, Universal quark to gluonratioinmedium-inducedpartoncascade,JHEP09, 144, arXiv:1807.06181 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv
[63]

Fooling Around with the Sudakov Veto Algorithm

L. Lönnblad, Fooling Around with the Sudakov Veto Algorithm, Eur. Phys. J. C73, 2350 (2013), arXiv:1211.7204 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[64]

J. I. Kapusta, B. Muller, and M. Stephanov, Relativistic Theory of Hydrodynamic Fluctuations with Applications to Heavy Ion Collisions, Phys. Rev. C85, 054906 (2012), arXiv:1112.6405 [nucl-th]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[65]

Basar, Recent developments in relativistic hydrody- namic fluctuations, Prog

G. Basar, Recent developments in relativistic hydrody- namic fluctuations, Prog. Part. Nucl. Phys.143, 104175 (2025), arXiv:2410.02866 [hep-th]

work page arXiv 2025
[66]

Soares Rocha, L

G. Soares Rocha, L. Gavassino, and N. Mullins, Modeling stochasticfluctuationsinrelativistickinetictheory,Phys. Rev. D110, 016020 (2024), arXiv:2405.10878 [nucl-th]

work page arXiv 2024