Multiple Scattering, Parton Energy Loss and Modified Fragmentation Functions in Deeply Inelastic eA Scattering

Xiaofeng Guo; Xin-Nian Wang

REVIEW

Multiple Scattering, Parton Energy Loss and Modified Fragmentation Functions in Deeply Inelastic eA Scattering

Xiaofeng Guo, Xin-Nian Wang

High Energy Physics - Phenomenology · Submitted 5 May 2000 · 19 references

Pith's verdict: A genuinely new object — a DGLAP-like evolution equation for medium-modified fragmentation functions — with the diagrammatic backbone and the normalization both parked in unpublished companion work.

T0 · AI review

How this review was made: An AI referee (selfhosted/deepseek-v4.1-flash) read the paper on October 29, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

T0 AI review An AI read the paper and answered a fixed list of questions.
T1 Audit Automatic checks that the references and files the paper relies on exist and match.
T2 Compute The paper's code or calculations re-run with the same results.
T3 Formal statement The claims written out in a formal math language a computer can read.
T4 Proof Those claims proved, and the proof checked by computer.

How Pith checks papers →

· 4 major objections · 8 minor · Ask about this paper · The compiled record · Read the full review →

Challenge this review Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-ph/0005044 (version 3)

Pith IDHYP6MECM, Pith's permanent record of this paper and its review

CitationXiaofeng Guo, Xin-Nian Wang. "Multiple Scattering, Parton Energy Loss and Modified Fragmentation Functions in Deeply Inelastic eA Scattering." arXiv:hep-ph/0005044 (2000). https://pith.science/paper/HYP6MECM

Cite this reviewBibTeX for Pith's review of this paper

Claim paper

Why Pith says this

Highlight any text to comment on it.

Editor's note

read the letter

The thing worth your time here is Eqs. (10)–(12): a DGLAP-style evolution equation for the quark fragmentation function in eA DIS whose splitting function carries an extra term proportional to the quark-gluon correlation function T^A_qg. That is a real structural step — it turns energy loss into a calculable correction to a quantity people actually measure — and the LPM structure in Eq. (5), with the two formation-time exponentials and the explicit cancellation in the collinear limit, is written down concretely rather than hand-waved. The A^{2/3} claim in the abstract is the kind of sharp, falsifiable statement that makes a Letter useful. The authors are also upfront that this is leading-log, single-rescattering, and that the hot-medium extension is qualitative; I would not hold those against them. Two things to know before you lean on it. First, the step that produces Eq. (6) — the sum over 23 cut diagrams, the cancellations between central-cut and interference graphs, the virtual corrections — is not in this Letter. The text says so plainly: 'Including virtual corrections, we obtain [13]...' and [13] is Wang and Guo, to be published. For a Letter that is a normal division of labor, but it means the headline derivation cannot be checked from this paper alone. Second, the numbers. Eq. (14) factorizes the four-parton matrix element into single-parton distributions times a Gaussian nuclear profile with a (1 − e^{−x_L²/x_A²}) suppression — an ansatz, not a derived result — and the constant C is then fixed from Drell-Yan p_T broadening via Eq. (17), which cites [17] and [18], the latter a preprint and both sharing an author. The 5.8 GeV in Eq. (18) is an estimate, and the paper calls it one. One thing I could not resolve: I tried to trace A^{2/3} through Eqs. (15)–(18) and could not get it. x_A ∝ A^{−1/3}, so x_A² ∝ A^{−2/3}, and Eq. (17) appears to leave C-tilde A-independent, which would give a modification falling with A rather than growing. The text says the opposite. Probably a bookkeeping convention I am missing, but the A-dependence of C-tilde should be printed explicitly. None of this undermines the structural result. Read it for the evolution equation and the LPM structure; treat the magnitude as an estimate pending the companion paper. Worth a serious referee — the derivation belongs in the literature and the scaling claim is falsifiable.

Referee report

Significance

If the structural result holds, it converts parton energy loss from an unobservable parton-level quantity into a calculable correction to a measured fragmentation function, and it supplies a falsifiable A^{2/3} scaling together with a bridge between twist-four nuclear matrix elements and Drell–Yan transverse-momentum broadening. The explicit LPM interference pattern of Eq. (5), the clean identification of the double-hard and hard-soft contributions, and the statement that the two cancel in the collinear limit are genuine strengths, and the A^{2/3} scaling is a prediction rather than a fit. The paper is also candid that Eq. (14) is an assumption ('Assuming a Gaussian nuclear distribution') and that the gluon fragmentation function is taken to evolve normally; those acknowledgements are appropriate and are not themselves grounds for objection.

Major objections (4)

[Eq. (6) and the paragraph preceding it] The abstract's headline is a derivation, but the step that produces Eq. (6) is not in the manuscript: the sum over the 23 cut diagrams, the cancellations between central-cut and interference diagrams, and the virtual correction encoded in Delta T^A_{qg} of Eq. (8) are all deferred to Ref. [13], which is listed as 'to be published.' The LPM structure of Eq. (5) is shown and is convincing, but the reader cannot verify the bookkeeping that turns it into the coefficient of Eq. (6), nor how Delta T^A_{qg} is obtained. At minimum an outline of the cancellation structure and the origin of the delta-function term should appear in this Letter, or Ref. [13] should be updated to a published citation with the relevant appendix referenced.
[Eq. (14)] The reduction of the nested y^- integrals of Eq. (7), with its two separate LPM exponentials and the theta-function ordering, to a product of single-parton distributions times a single factor (1 - exp(-x_L^2/x_A^2)) is an ansatz, not a derived result, and the text does not show how the two exponentials depending on y^- and y_1^- separately collapse into a function of x_L/x_A alone. In addition, the constant C appearing in Eq. (14) is never defined or assigned a value; only the combination C-tilde enters Eq. (15), and it is fixed indirectly through Eq. (17). Please state what C represents and give the intermediate steps, or state explicitly that Eq. (14) is a model ansatz whose normalization is fixed by Drell-Yan broadening.
[Eq. (15) and the paragraph following it] The A^{2/3} scaling is the paper's most quotable prediction, but the l_T^2 integration that produces the explicit 1/x_A^2 factor in Eq. (15) is not shown. Because the LPM factor (1 - exp(-x_L^2/x_A^2)) and the x_L dependence of the gluon distribution enter differently in the regions x_L < x_A and x_L > x_A, it should be demonstrated which region dominates the integral and how the two powers of 1/x_A arise; this is a correctness-risk concern with a concrete test, since a single power would give A^{1/3} rather than A^{2/3}. The physical argument in the following paragraph ('limited phase space is proportional to the nuclear size') is qualitative and does not by itself fix the exponent.
[Eqs. (17)-(18)] The magnitude of the 5.8 GeV estimate in Eq. (18) is anchored to the Drell-Yan broadening of Eq. (17), which is attributed to Refs. [17,18]; Ref. [18] is a preprint (hep-ph/9911476) rather than a published measurement. Since the numerical magnitude is a headline of the Letter, the anchor should either be traceable to a published determination or the uncertainty inherited from it should be stated explicitly, so that the reader can distinguish the robust A^{2/3} scaling from the less robust overall normalization.

Minor objections (8)

[Eqs. (10)-(13)] The notation is inconsistent between equations: Eq. (10) writes the gluon term with the modified splitting function evaluated at (1-z) and labelled q -> qg, while Eq. (13) writes Delta gamma_{q -> gq}(z). Please use one convention throughout and state explicitly that the (1-z) argument is the standard P_{qg}(z) = P_{qq}(1-z) relation.
[Eqs. (11)-(12) versus Eq. (10)] Delta gamma is written as a function of l_T^2 in Eqs. (11)-(12) but as a function of mu^2 in Eq. (10); the relation between the two arguments should be stated, since the evolution equation is written at scale mu^2.
[Eqs. (15)-(16)] Please check the dimensions: Eq. (15) carries an explicit 1/Q^2, while Eq. (16) carries Q^2/x_B, which has dimensions of mass squared, whereas the left-hand side <Delta z_g> is a momentum fraction and must be dimensionless. One of the two expressions appears to be missing a factor.
[Fig. 2] The text refers to three values of x_B, but the figure legend as printed shows only two labels clearly. Please state the three values and the corresponding initial quark energies q^- = Q^2/(2 p^+ x_B) so that the reader can connect the curves to the kinematics discussed in the text.
[Paragraph after Eq. (15)] The statement that the modification depends quadratically on the nuclear size should be shown explicitly from x_A = 1/(M R_A) proportional to A^{-1/3}, so that the reader can see the two powers of 1/x_A in Eq. (15) translate into A^{2/3}.
[Eq. (8)] The plus-prescription integral defining Delta T^A_{qg} is written down but neither evaluated nor given a closed form; a short statement of the value or of the cancellation it enforces would make the virtual correction transparent.
[Final paragraph] The generalization to a hot QCD medium is a single qualitative paragraph, while the abstract states that it 'is also discussed.' Either soften the abstract or add one or two sentences specifying which quantity in the present derivation would change with the correlation length.
[Eq. (12)] The factorization scale of f_q^A in the denominator of Eq. (12) is written as mu_I^2, while the evolution is at mu^2; please state the choice made in the numerical evaluation.

How Pith checks papers → · Full audit of this paper →

The paper

The paper claims

Multiple scattering adds a measurable twist-four term to how quarks fragment in nuclei, and the modification grows as $A^{2/3}$.

The reading

The paper asks a concrete question: when a fast quark is struck inside a nucleus and then re-scatters off a gluon from a neighbouring nucleon, how does the resulting induced radiation change the way that quark turns into hadrons? The authors derive, for the first time, QCD evolution equations for a medium-modified quark fragmentation function in deeply inelastic $eA$ scattering, and show that the effect of rescattering appears as an extra term in the splitting functions rather than as a separate, unobservable parton-level quantity. That reframing matters because fragmentation functions are measured, so energy loss becomes something one can extract from a semi-inclusive cross section instead of only inferring indirectly. The extra term carries the phase factors of the Landau-Migdal-Pomeranchuk interference, so the radiation is suppressed for gluons whose formation time exceeds the nuclear size, and the resulting modification is predicted to scale as $A^{2/3}$ rather than linearly in $A$. The authors also translate the result into a numerical energy-loss estimate, roughly $5.8$ GeV for $x_B=0.1$, $A=200$ and $x_B$-dependent logarithmic growth, and sketch how the same logic would carry over to a hot medium.

What carries the argument

The load-bearing object is the modified splitting function $tilde gamma_{q to qg}(z,x,x_L,l_T^2) = gamma_{q to qg}(z) + Delta gamma_{q to qg}$, where the extra piece is built from the quark-gluon correlation function $T^A_{qg}(x,x_L)$. That correlation function is the convolution of four-parton nuclear matrix elements with the LPM phase factors, and it is what makes the induced radiation finite in the collinear limit: the $1/l_T^4$ hard part is paired with a matrix element that vanishes as $l_T to 0$, so no collinear divergence survives. The second piece of machinery is the factorization ansatz Eq. (14), which writes $T^A_{qg}$ as a sum of two terms built from ordinary quark and gluon distributions multiplied by $(1-e^{-x_L^2/x_A^2})$, tying the whole prediction to a single constant $C$ that is then fixed from Drell-Yan transverse-momentum broadening.

Extended reading notes

Core claim

The central claim is that the quark fragmentation function in a nucleus obeys a DGLAP-like evolution equation, Eq. (10), whose splitting function is the ordinary one plus a correction, Eqs. (11)-(12), proportional to the quark-gluon correlation function $T^A_{qg}$ of Eq. (7) and to $1/2p^+q^-$ times the gluon transverse momentum transfer. The correction softens the fragmentation function, and because the four-parton matrix element contains the factors $(1-e^{-ix_L p^+ y^-_2})(1-e^{-ix_L p^+(y^--y^-_1)})$ of Eq. (5), it encodes the destructive interference between the hard-soft and double-hard rescattering processes: the two cancel in the collinear limit $l_T to 0$. Summing the leading twist-four contributions gives Eq. (13), a correction $Delta D_{q to h}$ suppressed by $1/mu^2$ relative to the leading-twist fragmentation function, and after factorizing the matrix element as in Eq. (14) the modification takes the form of Eq. (15), quadratic in the nuclear size. The associated energy loss, Eq. (16), becomes $Delta E approx 0.35, alpha_s A^{2/3} ln(12/x_B)$ GeV in the nuclear rest frame, Eq. (18), which the authors check is consistent with earlier estimates.

Load-bearing premise

The numerical predictions rest on writing the four-parton nuclear matrix element as a product of ordinary quark and gluon distributions times a Gaussian nuclear profile and a single constant, an ansatz that is not tested against any independent four-parton measurement and whose overall size is then borrowed from Drell-Yan broadening.

Editorial extensions

If this is right

Semi-inclusive deeply inelastic $eA$ data at fixed $x_B$ and $Q^2$ should show a hadron-spectrum softening that grows with nuclear size as $A^{2/3}$, not as $A$.
The modification should increase with $x_B$ at fixed $Q^2$, since larger $x_B$ means a lower-energy quark and a longer formation time relative to the nuclear length.
Quark energy loss becomes extractable from a measured fragmentation function rather than only inferred from parton-level models, giving a number of order $6$ GeV for $x_B=0.1$ and $A=200$.
Because the correction is suppressed by $1/mu^2$, the effect shrinks with $Q^2$ at fixed $x_B$, which is a distinctive twist-four signature rather than a leading-twist nuclear modification of the parton distributions.
In a deconfined medium the same derivation goes through with the nucleon size replaced by the medium's correlation length, so a change in that length across a phase transition should show up as a change in the fragmentation modification.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the $A^{2/3}$ scaling is confirmed in $eA$, the same bookkeeping suggests that the stronger-than-linear energy loss seen in heavy-ion collisions is a natural consequence of coherence, not evidence for an unexpectedly dense medium on its own.
The predicted $1/Q^2$ suppression offers a clean experimental handle: comparing the modification at two $Q^2$ values at the same $x_B$ would separate the twist-four rescattering term from leading-twist nuclear shadowing of the parton distributions.
The result suggests a practical route to a four-parton correlation measurement: the overall normalization of the fragmentation modification and the Drell-Yan broadening are fixed by the same constant, so a joint fit over both observables would over-constrain the ansatz of Eq. (14).
Because the LPM phase is set by the ratio of formation time to nuclear length, the formalism predicts a turnover: for very large $x_B$ (very long formation time) the modification should saturate rather than keep growing, which is a shape prediction beyond the stated logarithmic energy-loss formula.

Original abstract

Modified quark fragmentation functions in deeply inelastic $eA$ collisions and their QCD evolution equations are derived for the first time in the framework of multiple parton scattering. Induced radiation gives rise to additional terms in the evolution equations and thus softens the modified quark fragmentation functions. The results in the next-leading-twist depend on both diagonal and off-diagonal twist-four parton distributions and the combination of which clearly manifests the LPM interference pattern. The predicted modification depends quadratically on the nuclear size ($A^{2/3}$). Generalization to the case of hot QCD medium is also discussed.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,209 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.97 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.55 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

Modified quark fragmentation functions in deeply inelastic $eA$ collisions and their QCD evolution equations are derived for the first time in the framework of multiple parton scattering. Induced radiation gives rise to additional terms in the evolution equations and thus softens the modified quark fragmentation functions. The results in the next-leading-twist depend on both diagonal and off-diagonal twist-four parton distributions and the combination of which clearly manifests the LPM interference pattern. The predicted modification depends quadratically on the nuclear size ($A^{2/3}$). Generalization to the case of hot QCD medium is also discussed.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Modified quark fragmentation functions in deeply inelastic $eA$ collisions and their QCD evolution equations are derived for the first time in the framework of multiple parton scattering.	contribution 0.99	0.95	0.50	asserted 1.00
s1	Induced radiation gives rise to additional terms in the evolution equations and thus softens the modified quark fragmentation functions.	result 0.83	0.82	0.22	asserted 1.00
s2	The results in the next-leading-twist depend on both diagonal and off-diagonal twist-four parton distributions and the combination of which clearly manifests the LPM interference pattern.	result 0.93	0.85	0.15	asserted 1.00
s3	The predicted modification depends quadratically on the nuclear size ($A^{2/3}$).	result 1.00	0.86	0.18	asserted 0.98
s4	Generalization to the case of hot QCD medium is also discussed.	contribution 0.68	0.71	0.03	asserted 0.79

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures

**Figure 1.** FIG. 1. Diagrams for rescattering with gluons (a) and

**Figure 2.** FIG. 2. The predicted modification to the quark fragmen

Figures reproduced from arXiv:hep-ph/0005044 by the authors.

References

Works cited (19)

[13]

X.-N. Wang and X. Guo, to be published

View on Pith
[17]

X.-F. Guo, Phys. Rev. D 58, 036001(1998)

View on Pith 1998
[18]

X. Guo, J. Qiu and X. Zhang, hep-ph/9911476

View on Pith Pith review arXiv
[1]

M. Gyulassy and M. Pl¨ umer, Phys. Lett. B243, 432 (1990); M. Gyulassy,M. Pl¨ umer, M. H. Thoma and X.-N. Wang, Nucl. Phys. A 538 (1992)

View on Pith 1990
[2]

X.-N. Wang and M. Gyulassy, Phys. Rev. Lett. 68, 1480 (1992)

View on Pith 1992
[3]

M. Gyulassy and X.-N. Wang, Nucl. Phys. B420, 583 (1994); X.-N. Wang, M. Gyulassy and M. Pl¨ umer, Phys. Rev. D 51, 3436 (1995)

View on Pith 1994
[4]

R. Baier, Yu. L. Dokshitzer, S. Peign´ e and D. Schiﬀ, Phys. Lett. B345, 277 (1995); R. Baier, Yu. L. Dok- shitzer, A. Mueller, S. Peign´ e and D. Schiﬀ, Nucl. Phys. B484, 265 (1997)

View on Pith 1995
[5]

B. G. Zakharov, JETP Letters, 63, 952 (1996); 65, 516 (1997)

View on Pith 1996
[6]

M. Gyulassy, P. Levai, I. Vitev, hep-ph/9907461

View on Pith Pith review arXiv
[7]

X.-N. Wang, Z. Huang and I. Sarcevic, Phys. Rev. Lett. 77, 231 (1996); X.-N. Wang and Z. Huang, Phys. Rev. C 55, 3047 (1997)

View on Pith 1996
[8]

X.-N. Wang, Phys. Rev. C 58, 2321 (1998); Phys. Rev. C 61, 064910 (2000)

View on Pith 1998
[9]

M. Luo, J.-W. Qiu and G. Sterman, Phys. Lett. B279, 377 (1992); Phys. Rev. D 49, 4493 (1994); Phys. Rev. D50, 1951 (1994)

View on Pith 1992
[10]

R. Field, Application of Perturbative QCD (Addison- Wesley, USA, 1989)

View on Pith 1989
[11]

X.-F. Guo, Phys. Rev. D 58, 114033(1998); X.-F. Guo and J. Qiu, Phys. Rev. D 61, 096003 (2000)

View on Pith 1998
[12]

J.-W. Qiu and G. Sterman, Nucl. Phys. B353 (1991) 105, 137

View on Pith 1991
[14]

G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977)

View on Pith 1977
[15]

A. Mueller and J. Qiu, Nucl.Phys. B268, 427 (1986)

View on Pith 1986
[16]

J. Binnewies, B. A. Kniehl and G. Kramer, Z. Phys. C65, 471 (1995)

View on Pith 1995
[19]

X.-N. Wang, Phys. Lett. B485,157 (2000). 4

View on Pith 2000

Forward citations

Showing 60 of 61 Pith papers that cite this

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. See all 61 Pith citations

Factorization and virtuality evolution of jet functions in heavy-ion collisions
hep-ph 2026-09 conditional novelty 7.0 of 10

Jets in heavy-ion collisions receive a new virtuality-resolved in-medium jet function, and the ratio of medium formation time to jet formation time selects which initial virtualities matter.
Computationally Efficient Description of Medium Response to Jets in Heavy Ion Collisions
hep-ph 2026-09 conditional novelty 7.0 of 10

An Efficient Wake procedure uses linearized hydrodynamics templates in a Bjorken flow to compute jet wake hadron distributions, benchmarked against full (3+1)-d nonlinear hydrodynamics with good agreement and enormous...
Full energy fraction and angular dependence of medium-induced splittings in the large-$N_c$ limit
hep-ph 2026-03 unverdicted novelty 7.0 of 10

In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.
Bayesian Inference of Heavy-Quark Dissipation and Jet Transport Parameters from D-Meson observables in heavy-ion collisions at the LHC energies
nucl-th 2025-12 unverdicted novelty 7.0 of 10

First simultaneous Bayesian extraction of 2πT D_s and q-hat/T^3 from D-meson R_AA and v2 at 5.02 TeV, yielding a non-monotonic temperature dependence in their ratio that deviates from the expected value of 2.
Incorporating Space-Time Within Medium-Modified Jet Event Generators
nucl-th 2013-01 conditional novelty 7.0 of 10

The paper builds MATTER++, a higher-twist Monte Carlo that assigns each parton splitting a light-cone position by Fourier transforming a Gaussian uncertainty in the small light-cone momentum, and shows its longitudina...

Show 55 more citing papers

Reaction Operator Approach to Non-Abelian Energy Loss
nucl-th 2000-06 accept novelty 7.0 of 10

A reaction-operator expansion yields a closed-form, all-orders expression for medium-induced gluon radiation from a jet in a QCD plasma, and shows the first order in collision opacity dominates at realistic energies.
Charmed baryon-to-meson ratios inside jets as a discriminator of hadronization mechanisms: from color reconnection in p+p to coalescence in Pb+Pb
hep-ph 2026-10 conditional novelty 6.0 of 10

The in-jet Λc+/D0 ratio is predicted to be enhanced by color reconnection in p+p and suppressed by thermal coalescence in Pb+Pb, providing a jet-based discriminator of hadronization mechanisms.
Heavy quark energy loss in the Bayesian-inference-improved CUJET model
hep-ph 2026-09 conditional novelty 6.0 of 10

Bayesian-constrained CUJET parameters, fit only to light-hadron RA A and v2, reproduce heavy-flavor suppression without retuning and give a diffusion coefficient consistent with lattice QCD.
System-size dependence of jet quenching from light to heavy-ion collisions at LHC
hep-ph 2026-09 conditional novelty 6.0 of 10

A single NLO pQCD model with a fitted jet transport coefficient reproduces hadron suppression in O+O, Ne+Ne, Xe+Xe and Pb+Pb, showing an apparent universal scaling of R_AA with <N_coll> at fixed pT.
Probing jet medium interaction with generalized projected energy correlators
hep-ph 2026-09 accept novelty 6.0 of 10

Medium-induced emissions suppress the small-nu enhancement of projected energy correlators, making a scan over nu a tool to disentangle jet-medium interaction mechanisms.
$D^0$-$D_s^+$ Elliptic-Flow Splitting under Event-Shape Engineering: A Probe of Sequential Charm Hadronization
hep-ph 2026-06 unverdicted novelty 6.0 of 10

Event-shape engineering via q2 selection in 0-10% and 30-50% Pb-Pb collisions at 5.02 TeV is shown to separate geometry-driven flow from hadronization-time effects, producing a positive growing Δv2(D0-Ds+) and species...
Study of jet-induced hydro response in high-energy heavy-ion collisions with a flow-matching generative model
nucl-th 2026-05 unverdicted novelty 6.0 of 10

A flow-matching generative model trained on CoLBT-hydro data conditionally generates marginal final-state hadron spectra from jet-induced hydro responses in 0-10% Pb+Pb collisions at 5.02 TeV, matching training data s...
An improved linear Boltzmann transport model for hadron and jet suppression in ultrarelativistic heavy-ion collisions
nucl-th 2026-02 conditional novelty 6.0 of 10

An improved LBT model with an earlier medium-scale insertion and color-flow tracking reproduces hadron and jet nuclear modification factors together in 5.02 TeV Pb+Pb collisions.
Unraveling the neutron skin thickness through jet charge in deep inelastic scattering
hep-ph 2025-06 conditional novelty 6.0 of 10

Jet charge distributions in electron-ion collisions are shown to be sensitive to neutron skin thickness, with peripheral collisions suppressing positive jets and enhancing negative jets.
Energy loss and theoretical uncertainties in small quark-gluon plasmas
hep-ph 2025-06 conditional novelty 6.0 of 10

A pQCD energy loss model with short-pathlength corrections shows the large formation time approximation fails self-consistently and, after a one-parameter fit, describes RHIC small systems while failing LHC small systems.
Simple Scaling Laws for Energy Correlators in Nuclear Matter
hep-ph 2024-11 conditional novelty 6.0 of 10

The leading nuclear modification of the two-point energy correlator in A-A and p-A collisions is a twist-4 light-ray operator contribution, giving an EEC ratio of 1 + a theta^2.
Probing the Short-Distance Structure of the Quark-Gluon Plasma with Energy Correlators
hep-ph 2023-10 conditional novelty 6.0 of 10

In simulated gamma-triggered jets in heavy-ion collisions, the large-angle enhancement of the energy-energy correlator is driven by elastic medium response rather than induced gluon radiation, and the effect is sensit...
From hydro to jet quenching, coalescence and hadron cascade: a coupled approach to solving the $R_{AA}\otimes v_2$ puzzle
hep-ph 2021-03 conditional novelty 6.0 of 10

A coupled hydrodynamics, jet-quenching, coalescence, and hadron-cascade simulation reproduces hadron suppression and elliptic flow together across all transverse momenta in Pb+Pb collisions.
Determining the jet transport coefficient $\hat{q}$ from inclusive hadron suppression measurements using Bayesian parameter estimation
nucl-th 2021-02 conditional novelty 6.0 of 10

Bayesian fitting of the MATTER and LBT jet-quenching models to RHIC and LHC hadron suppression data gives q-hat/T^3 = 2 to 4 (90% CR) for jets above 40 GeV/c, and a MATTER-to-LBT switching virtuality Q0 of 2.0 to 2.7 GeV.
Cone size dependence of jet suppression in heavy-ion collisions
hep-ph 2021-01 conditional novelty 6.0 of 10

A resummed analytic calculation of multi-prong jet energy loss in a hydrodynamically expanding quark-gluon plasma reproduces LHC jet suppression at R=0.4 and predicts only a mild dependence on jet cone size.
A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
nucl-th 2017-10 conditional novelty 6.0 of 10

A Bayesian fit of a three-parameter heavy-quark diffusion model to D-meson RAA and v2 data from three collision systems yields a spatial diffusion coefficient consistent with lattice QCD and predicts D-meson v3 in agr...
Multistage Monte-Carlo simulation of jet modification in a static medium
nucl-th 2017-04 conditional novelty 6.0 of 10

Coupling a virtuality-ordered parton shower (MATTER) to time-ordered transport models (MARTINI, LBT) at a separation scale Q0 produces jet energy distributions that differ qualitatively from any single generator, incl...
Effective field theory approach to open heavy flavor production in heavy-ion collisions
hep-ph 2016-10 conditional novelty 6.0 of 10

Adding finite quark masses to the SCET-plus-Glauber effective theory yields massive in-medium splitting functions that describe D- and B-meson suppression in Pb+Pb collisions above roughly 10 GeV.
Cumulants and nonlinear response of high $p_T$ harmonic flow at $\sqrt{s_{NN}}=5.02$ TeV
nucl-th 2016-09 conditional novelty 6.0 of 10

High-pT elliptic flow in a hydrodynamics-plus-jet-quenching simulation deviates from perfect linear scaling with soft elliptic flow, and a new cumulant-ratio observable is proposed to measure the deviation.
Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution
nucl-th 2016-05 conditional novelty 6.0 of 10

A linearized Boltzmann transport model for heavy quarks in a hydrodynamic plasma reproduces measured D meson suppression and elliptic flow once the quark transport coefficient is enhanced at low momentum and near the ...
Bridging Soft-Hard Transport Properties of Quark-Gluon Plasmas with CUJET3.0
hep-ph 2015-08 conditional novelty 6.0 of 10

Adding chromo-magnetic monopole degrees of freedom near Tc to a pQCD jet-quenching model reproduces both R_AA and v2 of high-pT hadrons at RHIC and LHC, resolving a long-standing tension.
Momentum Broadening in Weakly Coupled Quark-Gluon Plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma)
hep-ph 2012-11 accept novelty 6.0 of 10

In weakly coupled quark-gluon plasma the transverse-momentum broadening distribution falls off as 1/k^4 at large k, so rare large-angle parton deflections are parametrically more probable than in a strongly coupled pl...
Measurement of jet fragmentation into charged particles in pp and PbPb collisions at sqrt(s[NN]) = 2.76 TeV
nucl-ex 2012-05 accept novelty 6.0 of 10

Jets that survive the dense medium in lead-lead collisions at the LHC share their remaining momentum among high-momentum particles the same way vacuum jets do, within measurement uncertainties.
Calculating the Jet Quenching Parameter $\hat{q}$ in Lattice Gauge Theory
nucl-th 2012-02 conditional novelty 6.0 of 10

The paper sets up and demonstrates, in quenched SU(2), a lattice-plus-OPE framework for computing the jet-quenching parameter q̂ without fitting it to data.
The radiation pattern of a QCD antenna in a dilute medium
hep-ph 2011-12 accept novelty 6.0 of 10

The gluon emission spectrum off a quark-antiquark antenna in a dilute colored medium is governed by the single hard scale max(r_perp^-1, m_D), with soft radiation antiangular-ordered and suppressed above that scale.
Photon bremsstrahlung from heavy quarks in a dense nuclear matter
hep-ph 2026-08 accept novelty 5.0 of 10

The single-scattering-induced photon spectrum from a hard quark is expressed in terms of the full exchanged-gluon momentum distribution, with explicit heavy-quark mass dependence, beyond the collinear expansion.
System-size dependence of the $D^0$--$D_s^+$ flow splitting from early $D_s^+$ formation at $\sqrt{s_{NN}} = 5.36$~TeV
hep-ph 2026-05 unverdicted novelty 5.0 of 10

Sequential hadronization predicts v2(D0) > v2(Ds+) from extra partonic flow accumulated by D0 parents between 1.2 Tc and Tc, with universal linear scaling of the hadronic splitting across O-O and Pb-Pb systems.
Nuclear modification of $B_c$ mesons in relativistic heavy-ion collisions based on a linear Boltzmann transport model
hep-ph 2025-02 conditional novelty 5.0 of 10

A linear Boltzmann transport model with Yukawa and string interactions reproduces the measured B_c nuclear modification in Pb+Pb collisions and predicts larger low-pT B_c R_AA in Au+Au at RHIC than at the LHC.
Modified Coherence and the Transverse Extent of Jets
hep-ph 2025-01 conditional novelty 5.0 of 10

Using wave-packets and a modified parton shower, the authors show that jets are transversely broad and derive a gluon-TMDPDF-based relation in which the jet transport coefficient qhat weakens with increasing parton vi...
Radial profile of heavy quarks in jets in high-energy nuclear collisions
nucl-th 2020-09 conditional novelty 5.0 of 10

A Monte Carlo jet-quenching model predicts mass-dependent radial redistribution of heavy quarks in jets: charm diffuses outward, bottom shifts inward.
The JETSCAPE framework
nucl-th 2019-03 conditional novelty 5.0 of 10

JETSCAPE v1.3 is released as a modular, task-based C++ event-generator framework that composes existing heavy-ion physics codes (TRENTO, VISHNew/MUSIC, MATTER, LBT, MARTINI, AdS/CFT, PYTHIA) into one runnable event an...
Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
nucl-th 2018-09 conditional novelty 5.0 of 10

Tuning six heavy-quark transport models to a common static-medium benchmark reduces the spread in their extracted drag coefficients from a factor of five to a factor of two.
Interplaying mechanisms behind single inclusive jet suppression in heavy-ion collisions
nucl-th 2018-09 conditional novelty 5.0 of 10

The near-flat transverse-momentum and collision-energy dependence of jet suppression at the LHC follows from the shape of the vacuum jet spectrum combined with a slowly varying, medium-response-damped jet energy loss.
Quark Polarization in a Viscous Quark-Gluon Plasma
nucl-th 2011-08 conditional novelty 5.0 of 10

Multiple scattering in a viscous quark-gluon plasma drives quark spin polarization at a rate inversely proportional to shear viscosity, so the final polarization could in principle serve as a viscometer, though only w...
Transverse Momentum Broadening and the Jet Quenching Parameter, Redux
hep-ph 2010-06 conditional novelty 5.0 of 10

Transverse momentum broadening of a fast parton in a quark-gluon plasma equals the Fourier transform of two light-like Wilson lines, giving a field-theoretic definition of the jet quenching parameter as a diffusion constant.
Hard collinear gluon radiation and multiple scattering in a medium
nucl-th 2009-12 conditional novelty 5.0 of 10

Extending the higher-twist jet-quenching scheme to multiple coherent scatterings per emitted gluon, the leading 1/Q^2 contribution reduces to the known single-scattering result after integrating out the final quark's ...
Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD media
hep-ph 2008-08 conditional novelty 5.0 of 10

A new effective Lagrangian couples collinear quarks to Glauber gluons from a dense medium and reproduces known full-QCD results for jet broadening and the TMDPDF gauge link.
Systematic Comparison of Jet Energy-Loss Schemes in a realistic hydrodynamic medium
nucl-th 2008-08 conditional novelty 5.0 of 10

Running three jet-quenching formalisms in an identical hydrodynamic medium shows all can fit R_AA data with one tuned parameter, yet the extracted q-hat differs by up to a factor of four.
Heavy Quark Energy Loss in Nuclear Medium
nucl-th 2003-09 conditional novelty 5.0 of 10

Heavy quark mass shortens the gluon formation time, so the medium-size dependence of radiative energy loss crosses over from linear to quadratic as energy and momentum scale grow relative to the quark mass.
Jets as differential probes of hot QCD matter
hep-ph 2026-10 accept novelty 4.0 of 10

A comprehensive theoretical framework for extracting directional and multi-scale properties of the quark-gluon plasma from differential jet substructure observables.
Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist
hep-ph 2025-09 unverdicted novelty 4.0 of 10

Derives four scattering kernels for quark energy loss in nuclei at NLO and NLT, incorporating Glauber quarks and gluons plus mass and coherence effects.
Jet cone size dependence of single inclusive jet suppression due to jet quenching in Pb+Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV
hep-ph 2025-09 unverdicted novelty 4.0 of 10

Jet nuclear modification factor R_AA increases with cone radius R as in-cone energy loss from elastic recoils and radiated gluons decreases at larger radii.
Nuclear modification of leading hadrons and jets within a virtuality ordered parton shower
nucl-th 2017-12 conditional novelty 4.0 of 10

Coupling a virtuality-ordered parton shower with medium-modified splitting functions to a hydrodynamic plasma reproduces the nuclear suppression of high-momentum hadrons and jets at RHIC and the LHC with one tuned tra...
Heavy and light flavor jet quenching at RHIC and LHC energies
nucl-th 2017-03 conditional novelty 4.0 of 10

A single transport model with two tuned couplings reproduces light- and heavy-flavor hadron suppression at RHIC and the LHC, and yields a jet-quenching parameter that falls with temperature and is largest for gluons.
Energy loss, hadronization and hadronic interactions of heavy flavors in relativistic heavy-ion collisions
nucl-th 2015-05 conditional novelty 4.0 of 10

A single tuned heavy-quark transport coefficient, combined with radiative energy loss, hybrid fragmentation-coalescence hadronization, and UrQMD hadronic rescattering, reproduces D meson suppression at RHIC and LHC bu...
Comparison of Jet Quenching Formalisms for a Quark-Gluon Plasma "Brick"
hep-ph 2011-06 accept novelty 4.0 of 10

A controlled comparison of four perturbative-QCD jet-quenching formalisms on the same uniform-medium benchmark finds sizable differences in gluon radiation and energy loss, traceable mainly to large-angle and finite-l...
Bulk matter evolution and extraction of jet transport parameter in heavy-ion collisions at RHIC
nucl-th 2010-02 conditional novelty 4.0 of 10

Extracting the jet quenching parameter from RHIC data gives values from 0.54 to 0.96 GeV squared depending on the bulk evolution model, with 22 to 44 percent of the quenching coming from the hadronic phase.
Heavy ions at the Future Circular Collider
hep-ph 2016-05 conditional novelty 3.0 of 10

A working-group report projects that lead-lead collisions at 39 TeV and proton-lead at 63 TeV would deliver roughly ten times the LHC heavy-ion luminosity and open thermal-charm, boosted-top and gluon-saturation measurements.
Jet physics in heavy-ion collisions
hep-ph 2013-02 accept novelty 3.0 of 10

The review organizes medium-induced jet modification around one transport coefficient, the LPM-suppressed radiation spectrum, and a color-decoherence criterion that separates a vacuum-like jet core from a strongly que...
Parton Fragmentation Functions
hep-ph 2026-10 accept novelty 2.0 of 10

A comprehensive pedagogical review of parton fragmentation functions covering their operator definitions, DGLAP evolution, experimental probes, global fitting methodology, and extensions to spin, transverse momentum, ...
QGP@50: More than Four Decades of Jet Quenching
hep-ph 2025-08 conditional novelty 2.0 of 10

A historical and technical review of jet quenching in heavy-ion collisions, covering four decades of theory, the RHIC discovery, and modern Bayesian extractions of the jet transport parameter qhat.
Exploring QCD matter in extreme conditions with Machine Learning
hep-ph 2023-03 accept novelty 2.0 of 10

A review that organizes machine-learning applications in high energy nuclear physics into data-driven and physics-driven camps, and argues that embedding physical symmetries and constraints into networks is where the ...
Jet quenching and medium response in high-energy heavy-ion collisions: a review
hep-ph 2020-02 accept novelty 2.0 of 10

Jet-induced medium response, the recoil partons and hydrodynamic wake left behind a quenching jet, is required to describe soft hadrons, jet shapes, jet masses and cone-size dependence of jet suppression in heavy-ion ...
Jet Structure in Heavy Ion Collisions
hep-ph 2015-03 conditional novelty 2.0 of 10

The review argues that medium-induced parton branchings are quasi-local and probabilistic, producing a turbulent cascade whose soft gluons carry energy to large angles, with radiative corrections absorbed into a renor...
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
hep-th 2011-01 accept novelty 2.0 of 10

The review synthesizes a decade of work showing that strongly coupled plasma calculations from gauge/string duality give a coherent, quantitatively useful picture of hot QCD matter and heavy ion observables.

See all 61 Pith citations

How later papers used it

153 later papers cite it

Evidence: some. 111 of the citing papers share no author with it, and 37 of those carry a confident label from Pith's citation classifier.

Pith read 9 of the 270 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 later paper by other authors is listed below: 1 used its method or tool.

Uses its method or tool 1 of 50 papers with this label

Adopted the medium-induced part of its splitting function from this paper's higher-twist energy loss calculations and treated it as a perturbation on top of the vacuum part.

Nuclear modification of leading hadrons and jets within a virtuality ordered parton shower (2017) · 0.93 · paraphrased: the licence does not allow quoting

How the literature uses it

143 arXiv papers cite this in 255 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 126 sentences without a confident label

Builds on it 5 papers

Also, Eq. ([ref]) may be directly generalized from the expression for single inclusive hadron production presented in Ref. [ref] .

Modification of the dihadron fragmentation function in nuclear matter · Leading twist · 0.99
We extend the HT radiative energy loss approach [ref] and include the contributions from both transverse and longitudinal momentum exchanges to the gluon emission vertex.

Medium-induced gluon emission via transverse and longitudinal scattering in dense nuclear matter · Introduction · 0.97
Thus it can be viewed as a generalization of the higher twist formalism [ref] for both heavy and light flavor medium-induced radiative process.

Gluon emission from heavy quarks in dense nuclear matter · Introduction · 0.98

Uses its method or tool 46 papers

To study the single hadron productions in high-energy nuclear collisions, we have utilized the generalized factorization of twist-four processes to calculate parton energy loss due to medium-induced gluon radiation of a hard partons passing through the hot/dense QCD medium, and derive the effectively medium modified fragmentation functions in the higher-twist approach of parton energy loss [ref] .

Nuclear suppression of $\phi$ meson yields with large $p_T$ at the RHIC and the LHC · Large $p_T$ yield of $ϕ$ meson in HIC · 0.98
The splitting function $P_i$ contains both vacuum and medium-induced contributions: [equation] where the medium-induced part is adopted from the higher-twist energy loss calculations [ref] and treated as a perturbation on top of the vacuum part: [equation] In Eq. ([ref]), $q̂$ is the gluon jet transport coefficient that denotes its transverse momentum broadening squared per unit length due to elastic scattering.

Nuclear modification of leading hadrons and jets within a virtuality ordered parton shower · The Matter event generator for parton showers · 0.93
In this Letter we study $η$ productions at large $p_T$ in high-energy nuclear collisions at the RHIC and LHC in the framework of higher twist approach of jet quenching [ref] .

$\eta$ meson production of high-energy nuclear collisions at NLO · Introduction · 0.87

Compares with it 5 papers

Note that this hard part is identical to that derived for the case of the modification of the single fragmentation functions in Ref. [ref] .

Modification of the dihadron fragmentation function in nuclear matter · Leading twist · 0.90
As would have been expected this yields the same result as the small $y$ limit of the single scattering calculation [ref] .

Hard collinear gluon radiation and multiple scattering in a medium · The limit of only gluon scattering and leading twist · 0.85
However when integrated up to twice the mean formation time, the full calculation yields results numerically similar to the original subset of contributions evaluated in Ref. [ref] .

Final State Gluon Emission in Deep-Inelastic Scattering at Next-to-Leading Twist · Introduction · 0.97

Cites it as background 60 papers

Throughout this Paper, we will consider modifications to the fragmentation function, as has been the case in the prior efforts [ref] .

Final State Gluon Emission in Deep-Inelastic Scattering at Next-to-Leading Twist · Final state in DIS on a nucleus: a Review · 0.84
Among these jet quenching models, several are based on the high-twist expansion approach [ref] , which encodes the effect of parton energy loss as higher twist corrections to the vacuum fragmentation functions.

Heavy quark radiative energy loss in nuclei within the improved high-twist approach · Introduction · 0.92
This coherent effect of multiple scatterings was first understood in the early 1990s [ref] based on which phenomenological models were developed to understand the qualitative features of the experimental data [ref] .

Towards factorization with emergent scales for jets in dense media · Introduction · 0.94

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

[1] [13]

X.-N. Wang and X. Guo, to be published

View on Pith

[2] [17]

X.-F. Guo, Phys. Rev. D 58, 036001(1998)

View on Pith 1998

[3] [18]

X. Guo, J. Qiu and X. Zhang, hep-ph/9911476

View on Pith Pith review arXiv

[4] [1]

M. Gyulassy and M. Pl¨ umer, Phys. Lett. B243, 432 (1990); M. Gyulassy,M. Pl¨ umer, M. H. Thoma and X.-N. Wang, Nucl. Phys. A 538 (1992)

View on Pith 1990

[5] [2]

X.-N. Wang and M. Gyulassy, Phys. Rev. Lett. 68, 1480 (1992)

View on Pith 1992

[6] [3]

M. Gyulassy and X.-N. Wang, Nucl. Phys. B420, 583 (1994); X.-N. Wang, M. Gyulassy and M. Pl¨ umer, Phys. Rev. D 51, 3436 (1995)

View on Pith 1994

[7] [4]

R. Baier, Yu. L. Dokshitzer, S. Peign´ e and D. Schiﬀ, Phys. Lett. B345, 277 (1995); R. Baier, Yu. L. Dok- shitzer, A. Mueller, S. Peign´ e and D. Schiﬀ, Nucl. Phys. B484, 265 (1997)

View on Pith 1995

[8] [5]

B. G. Zakharov, JETP Letters, 63, 952 (1996); 65, 516 (1997)

View on Pith 1996

[9] [6]

M. Gyulassy, P. Levai, I. Vitev, hep-ph/9907461

View on Pith Pith review arXiv

[10] [7]

X.-N. Wang, Z. Huang and I. Sarcevic, Phys. Rev. Lett. 77, 231 (1996); X.-N. Wang and Z. Huang, Phys. Rev. C 55, 3047 (1997)

View on Pith 1996

[11] [8]

X.-N. Wang, Phys. Rev. C 58, 2321 (1998); Phys. Rev. C 61, 064910 (2000)

View on Pith 1998

[12] [9]

M. Luo, J.-W. Qiu and G. Sterman, Phys. Lett. B279, 377 (1992); Phys. Rev. D 49, 4493 (1994); Phys. Rev. D50, 1951 (1994)

View on Pith 1992

[13] [10]

R. Field, Application of Perturbative QCD (Addison- Wesley, USA, 1989)

View on Pith 1989

[14] [11]

X.-F. Guo, Phys. Rev. D 58, 114033(1998); X.-F. Guo and J. Qiu, Phys. Rev. D 61, 096003 (2000)

View on Pith 1998

[15] [12]

J.-W. Qiu and G. Sterman, Nucl. Phys. B353 (1991) 105, 137

View on Pith 1991

[16] [14]

G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977)

View on Pith 1977

[17] [15]

A. Mueller and J. Qiu, Nucl.Phys. B268, 427 (1986)

View on Pith 1986

[18] [16]

J. Binnewies, B. A. Kniehl and G. Kramer, Z. Phys. C65, 471 (1995)

View on Pith 1995

[19] [19]

X.-N. Wang, Phys. Lett. B485,157 (2000). 4

View on Pith 2000