A modified cluster-hadronization model

Frank Krauss; Gerhard Soff; Jan-Christopher Winter

REVIEW

A modified cluster-hadronization model

Jan-Christopher Winter, Frank Krauss, Gerhard Soff

High Energy Physics - Phenomenology · Submitted 6 Nov 2003 · 38 references

Pith's verdict: A real set of structural additions to the cluster model, but §5 compares a hand-tuned SHERPAα against default-parameter PYTHIA/HERWIG, so the 'cured multiplicity' claim can't be separated from tuning.

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CitationFrank Krauss, Gerhard Soff, Jan-Christopher Winter. "A modified cluster-hadronization model." arXiv:hep-ph/0311085 (2003). https://pith.science/paper/YHTPJS5W

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Editor's note

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Worth your time if you care about hadronization systematics, but read §5 as a progress report rather than a result. The model-building part is the substance here; the validation is not yet strong enough to carry the comparative language the authors use at the end of it. What is actually new relative to Webber's cluster model: soft colour reconnection applied both in cluster formation (§2, step 3, with the 1/N_C^2 suppression and the kinematical weight of Eq. 1) and in cluster decay; explicit diquark spin with the weights of Eqs. (4)-(5); a four-quark cluster species that can decay into two mesons (Table 1); and the mass-and-flavour threshold that decides whether a cluster becomes a hadron or keeps decaying. That last one is the cleanest idea in the paper. It removes the old model's arbitrary identification of a too-light cluster with the lightest hadron of the same flavour, and makes the transition mode follow from the cluster's own mass and flavour content. The decay-channel table is useful bookkeeping that other implementers will want. The soft spot is the validation, and the stress-test note has it right. Table 2 and Figs. 4-8 compare a hand-tuned SHERPAα against default-parameter PYTHIA and HERWIG. The authors state the parameters were 'adjusted by hand' and that the model 'has not been sufficiently tuned yet,' then conclude the low-multiplicity shortcoming 'could be cured.' That inference does not survive the asymmetry: a tuned PYTHIA would move too. There is no chi-squared, no error band on the Monte Carlo curves, and no statement of which observables the parameters were adjusted against. The hedge in the text covers 'preliminary' but not 'tuned versus default,' and it is the latter that carries the 'cured' language. This is fixable and does not sink the paper. The structural additions stand on their own, and the authors are candid about the x ≈ 0.5 bump and the high-x tail being known cluster-model weaknesses. Minor point: Eq. (5) is an ad hoc ansatz, and the SU(6) alternative is only promised. For people building or tuning event generators, and for anyone who needs a second hadronization baseline for LHC systematics. It deserves referees; ask for a parameter table, statistical error bands, and a tuned-versus-tuned comparison.

Referee report

Major objections (4)

[§5, Table 2 and Figs. 3–8] The comparison is asymmetric and the parameter set is undisclosed. Section 5 states that the SHERPAα cluster-model parameters 'have been adjusted by hand', while PYTHIA-6.1(uds) and HERWIG-6.1(uds) 'have been run with [their] default parameter values'. No table of the tuned values (p_B, p_s, the P_L, Q̂_0, M̂_0, t_0) is given, no statement identifies which observables were used in the tuning, and no χ² or Monte Carlo uncertainty is quoted anywhere. Consequently the statements that the agreement is 'satisfactory' and, in §6, that 'the too low charged-particle multiplicity could be cured' cannot be attributed to the model's structure rather than to the hand-tuning, and the same ambiguity applies to the residual differences in Table 2 and Figs. 5–8. Please tabulate the full parameter set, state the observables used for tuning and those treated as predictions, and either tune the comparison generators or restrict the comparative claim accordingly.
[§4, Eq. (6)] The hadron-selection weight introduces orbital-momentum weights P_L that are described as model parameters but are not listed among the tuned quantities in §5, and the truncation of the sum over L=0,1,… is never stated. Because Eq. (6) fixes the primary hadron composition and therefore feeds directly into the multiplicities of Table 2, the reader cannot count the effective parameters underlying the agreement. In addition, the weight is the product of two separately normalized factors, the first normalizing flavour over hadrons with Ĵ=J and the second normalizing spin; the justification for treating flavour and spin as separable in this product is not given. Please state the P_L values and the L truncation, and justify the factorized form.
[§4, Eqs. (7) and (9)] The single-cluster transformation scheme rests on an energy-transfer bookkeeping that is not shown to be well defined. The absorbing cluster is chosen as the one containing the partner from the same non-perturbative gluon splitting, but the text does not establish that such a partner is always available and still in the cluster regime at the time of the transformation, nor that the iterative procedure terminates or is independent of the order in which clusters are processed. Furthermore, with Q_0(M_C) from Eq. (9) small for light clusters, the weight exp[−(Q²/Q_0²)²] of Eq. (7) is extremely steep; please quantify how often the selected hadron is simply the lightest kinematically allowed state, and state explicitly how this differs from Webber's identification of a too-light cluster with the lightest hadron of the same flavour content.
[§2, Eq. (1) and Fig. 3] Colour reconnection is one of the three headline features of the abstract, but its implementation is underspecified. Equation (1) gives the kinematical weight as t_0/(t_0+4(w_ij+w_kl)²) (as printed), yet the text does not say how this is combined with the 1/N_C² colour factor — product, normalized sum, or otherwise — and neither the factor 4 nor the square is motivated. The claimed effect in Fig. 3 is a shift of the mean primary cluster mass from 2.48633 to 2.46078, about one percent, displayed on a log-scale histogram with no uncertainties; please state the generated event sample, quantify the significance of the shift, and give the combination rule for the colour and kinematical weights.

Minor objections (9)

[§4, Eq. (8)] As printed, the second relation reads p_{f̄,f} = Q_0 M_C p_{C2,1}, which is dimensionally inconsistent; the intended factor is presumably Q_0/M_C, which is also what four-momentum conservation requires. Please correct the equation.
[§2, step (1)] The constituent-mass rescaling is described only qualitatively as 'a series of boosts and scaling transformations' applied to colour-singlet subsets. Please state whether four-momentum is conserved by the procedure and how the transformations are chosen.
[§2, step (2)] The statement that 'quarks or diquarks that cannot be produced owing to too high masses are discarded' leaves open what happens to the gluon in that case. Please specify the fallback.
[§5] No Monte Carlo statistical uncertainty is quoted for any of the SHERPAα, PYTHIA or HERWIG curves or for the entries of Table 2. Please give the number of generated events and, where the comparison is quantitative, add error bars.
[References] Reference [39] (SLD, arXiv:hep-ex/0310017) carries no journal reference and appears unpublished at the time of writing; please update its status.
[§4] The statement that 'spin information is washed out in the clusters' sits uneasily with a weight that depends explicitly on the constituent spins s_1 and s_2. Please clarify what is averaged over and what is retained.
[Abstract] The abstract does not state the scope of the implementation, namely e+e− annihilation and the light-quark sector only. Please add this restriction.
[Table 1] The layout of the direct and crossed columns is difficult to parse, particularly for the four-quark rows. Consider a clearer presentation.
[§2, step (2)] The phrase 'a transition – in principle non-perturbative – transition g→qq̄' repeats the word 'transition'.

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The paper

The paper claims

A reworked cluster-hadronization model adds soft colour reconnection, spin-resolved diquarks, and a mass-and-flavour threshold that decides whether a cluster is already a hadron, and reports agreement with light-quark Z-pole data.

The reading

The paper sets out a reworked version of the cluster-hadronization model that Monte Carlo event generators use to turn coloured partons into observable hadrons. Its three changes are soft colour reconnection (allowing colour lines to be rearranged before clusters form, with the non-planar option suppressed by $1/N_C^2$), an explicit treatment of diquark spin so that clusters can carry baryon number, and a rule that decides dynamically, from a cluster's mass and flavour content, whether it is already a hadron or must still decay. The payoff claimed is a more faithful description of light-quark $e^+e^-$ annihilation at the $Z^0$ pole without extensive tuning: charged multiplicities and momentum spectra come out close to PYTHIA-6.1 restricted to $u,d,s$ and to OPAL, DELPHI and SLD measurements. A reader should care because hadronization is the least calculable step in collider event simulation, so any structural improvement there propagates into every prediction that depends on hadron-level final states.

What carries the argument

The load-bearing device is the mass-and-flavour threshold together with the flavour-spin hadron weight of Eq. (6). A cluster is declared a hadron when its mass falls below the larger of the heaviest hadron matching its flavour content and the sum of the two lightest hadrons that could emerge from its decay; everything above that line decays. Which hadron is chosen is then decided by an overlap between a non-relativistic quark-model wave function and the cluster's flavour content, multiplied by a spin-recoupling factor that sums over orbital angular momentum $L$ with a-priori weights $P_L$, and, for single-cluster transformations, by a kinematic suppression $W_{kin} = 2^{-(Q^2/Q_0^2)^2}$ that keeps the energy transfer soft. The decay kinematics use a running scale $Q_0(M_C) = Q_0 M_C/(M_0 + M_C)$, which is what keeps the fission well behaved across the cluster mass range.

Extended reading notes

Core claim

The central claim is that a cluster-hadronization model built on three structural changes describes light-quark and gluon jets at the $Z^0$ pole at least as well as the established alternatives. The changes are: colour reconnection applied both when clusters form and when they decay, weighted by a colour factor and a kinematic factor of the form $W_{ij,kl} = t_0/(t_0 + 4(w_{ij}+w_{kl})^2)$; diquarks carrying explicit spin, which produces mesonic ($q_1q_2$, $D_1D_2$), baryonic ($q_1D_2$) and antibaryonic clusters; and a flavour-dependent threshold that separates the cluster regime from the hadron regime by comparing a cluster's mass with the heaviest matching hadron and the lightest accessible hadron pair. That threshold automatically selects the transition mode, so clusters below it transform into single hadrons while the rest decay in two bodies, with channels such as $C_1H_2$, $H_1C_2$ and $H_1H_2$ and a forced two-meson decay for diquark-antidiquark clusters. The reported outcome is agreement with data on charged multiplicity (20.15 versus 20.25 OPAL and 20.35 DELPHI), on charged-pion, charged-kaon and (anti)proton rates, and on the scaled-momentum, $1-T$ and Durham three-to-two jet-rate distributions, with the model's parameters adjusted by hand and not yet tuned.

Load-bearing premise

The model's parameters were adjusted by hand and the paper says the model has not been sufficiently tuned, so the agreement with data cannot yet separate a structural success from a fortunate choice of settings.

Editorial extensions

If this is right

Colour reconnection lowers primary cluster masses and therefore the number of daughter clusters: switching it off raises the mean charged multiplicity by roughly $0.2$ tracks per event, so the model supplies a concrete link between soft colour flow and an observable multiplicity shift.
Four-quark clusters made of a diquark and an antidiquark acquire a defined fate, decaying into two mesons by recombining their constituents, with diquark recombination suppressed by $p_B$ relative to baryon production.
The threshold rule replaces the older practice of identifying a sub-threshold cluster with the single lightest hadron of matching flavour, substituting a weighted selection over all hadrons that are kinematically accessible.
Because the model is a module of a C++ generator, the same machinery is stated to extend to heavy-quark hadronization and to the fragmentation of incoming-hadron remnants with straightforward additions.

Reading between the lines

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

The reconnection weight is the paper's only handle on non-perturbative colour flow. If that effect is real, it should also appear in particle correlations (for instance baryon-antibaryon or identical-particle angular correlations) and not only in the inclusive spectra shown here, which would be the sharper test.
Since the parameters were adjusted by hand, the reported agreement is best read as a floor on what the structure can achieve; conversely, the roughly $0.2$-track multiplicity shift from reconnection is comparable to the spread among generators, so separating reconnection from tuning will need observables insensitive to the flavour-dicing parameters.
Eq. (6) is a static quark-model overlap with free orbital weights $P_L$. A natural check the paper does not run is whether the predicted tensor-to-pseudoscalar meson ratios, which follow from those weights alone, match measured resonance fractions in light-quark events.

Original abstract

A new phenomenological cluster-hadronization model is presented. Its specific features are the incorporation of soft colour reconnection, a more general treatment of diquarks including their spin and giving rise to clusters with baryonic quantum numbers, and a dynamic separation of the regimes of clusters and hadrons according to their masses and flavours. The distinction between the two regions automatically leads to different cluster decay and transformation modes. Additionally, these aspects require an extension of individual cluster-decay channels that were available in previous versions of such models.

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, 3,555 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.02 · states quantitative result 0.03 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

A new phenomenological cluster-hadronization model is presented. Its specific features are the incorporation of soft colour reconnection, a more general treatment of diquarks including their spin and giving rise to clusters with baryonic quantum numbers, and a dynamic separation of the regimes of clusters and hadrons according to their masses and flavours. The distinction between the two regions automatically leads to different cluster decay and transformation modes. Additionally, these aspects require an extension of individual cluster-decay channels that were available in previous versions of such models.

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	A new phenomenological cluster-hadronization model is presented.	contribution 0.99	0.90	0.14	asserted 1.00
s1	Its specific features are the incorporation of soft colour reconnection, a more general treatment of diquarks including their spin and giving rise to clusters with baryonic quantum numbers, and a dynamic separation of the regimes of clusters and hadrons according to their masses and flavours.	contribution 0.60	0.85	0.15	asserted 1.00
s2	The distinction between the two regions automatically leads to different cluster decay and transformation modes.	interpretation 0.52	0.63	0.12	asserted 1.00
s3	Additionally, these aspects require an extension of individual cluster-decay channels that were available in previous versions of such models.	contribution 0.69	0.68	0.07	asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.53 · evidence from argument 0.93.

What was examined, and what was not

sources read

arXiv listing abstract v1

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.** Both options of cluster formation for a minimal

**Figure 2.** Again, the crossed configuration is suppressed by the colou

**Figure 3.** Primary cluster-mass distribution in electron–pos

**Figure 4.** Predicted multiplicity distribution of charged par

**Figure 5.** Scaled momentum distribution of charged particles fo

**Figure 6.** ξ uds p = ln(1/xuds p ) distribution of charged particles for Ecm = 91.2 GeV in e +e − annihilation, considering the light-quark sector only. The SHERPAα prediction is presented together with experimental uds data provided by the OPAL collaboration, and with results from default PYTHIA-6.1(uds) and default HERWIG-6.1(uds). simulations. HERWIG-6.1(uds) is considerably low (high) for 2 < ξuds p < 5 (0.5 < ξuds p < 1). As an example for the group of event-shape observables, the 1 − T distribution, T being the thrust, of the three aforementioned QCD Monte Carlo event generators with…

**Figure 7.** 1 − T /xuds p distribution of charged particles for Ecm = 91.2 GeV in e +e − annihilation with a restriction on u, d, s and gluon jets. The SHERPAα prediction is compared with predictions of default PYTHIA-6.1(uds) and HERWIG-6.1(uds). 14

**Figure 8.** The Durham 3 → 2 differential jet rate of charged particles in e +e − annihilation at the Z 0 pole. Only uds events are taken into account. The SHERPAα result is compared with the results stemming from PYTHIA-6.1(uds) and HERWIG-6.1(uds) performances, both of which run with their default parameters. shapes, which is indicated by a weaker decline of the spectrum towards higher values. Owing to the LPHD concept, the SHERPAα prediction, somewhat exceeding the PYTHIA-6.1(uds) result for 0.1 < 1−T < 0.3, rather resembles the prediction of PYTHIA-6.1(uds), which might be due to the fact…

Figures reproduced from arXiv:hep-ph/0311085 by the authors.

References

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Multi-jet merged top-pair production including electroweak corrections
hep-ph 2018-03 accept novelty 6.0 of 10

First NLO electroweak calculation of top-pair plus jet production, folded into a multi-jet merged QCD+EW prediction that matches the ATLAS boosted top transverse-momentum spectrum.
The midpoint between dipole and parton showers
hep-ph 2015-06 accept novelty 6.0 of 10

The authors build a dipole-like parton shower whose evolution variable is the soft transverse momentum, and validate it through two independent implementations that agree to sub-permille level.
A critical appraisal of NLO+PS matching methods
hep-ph 2011-11 conditional novelty 6.0 of 10

The gap between POWHEG and MC@NLO predictions for Higgs and vector-boson production is traced to POWHEG exponentiating radiation over too much phase space, and is removed by restricting that phase space.
A comprehensive approach to new physics simulations
hep-ph 2009-06 conditional novelty 6.0 of 10

A single Lagrangian-level model description in FeynRules, exported through dedicated interfaces, yields mutually consistent implementations in FeynArts/FormCalc, CalcHep, MadGraph/MadEvent and Sherpa, validated across...
QCD matrix elements and truncated showers
hep-ph 2009-03 conditional novelty 6.0 of 10

A flavour-dependent jet criterion plus truncated showers lets hard matrix elements be merged with parton showers without degrading the shower's next-to-leading logarithmic accuracy.
SHERPA 1.alpha, a proof-of-concept version
hep-ph 2003-11 conditional novelty 6.0 of 10

SHERPA 1.alpha is a modular C++ event-generation framework that combines hard matrix elements, parton showers, and hadronisation through abstract interfaces, with full electron-positron and photon-photon simulation an...
Event Generation for Neutrino and Muon DIS at the LHC
hep-ph 2026-10 accept novelty 5.0 of 10

NLO event generators agree within ~2% for inclusive DIS, differ up to 25% for hadronic final states, and the default GENIE tune matches only by accidental cancellation.
Jet Angularities in Z+jet production at the LHC
hep-ph 2021-04 conditional novelty 5.0 of 10

Next-to-leading-logarithm resummation matched to NLO yields ready-to-compare predictions for groomed and ungroomed jet angularities in Z+jet events at the LHC.
Measurement of the transverse momentum distribution of Drell-Yan lepton pairs in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
hep-ex 2019-12 accept novelty 5.0 of 10

ATLAS measures the transverse-momentum and phi* spectra of Drell-Yan lepton pairs at 13 TeV to 0.2% precision at low pT, and finds that resummation-based predictions describe the full spectrum within uncertainties.
Measurement of the inclusive isolated-photon cross section in $pp$ collisions at $\sqrt{s}=13$ TeV using 36 fb$^{-1}$ of ATLAS data
hep-ex 2019-08 accept novelty 5.0 of 10

The inclusive isolated-photon production cross section at 13 TeV has been measured up to 2.5 TeV and matches NLO and NNLO QCD predictions within uncertainties.
Measurement of jet substructure observables in $\mathrm{t\overline{t}}$ events from proton-proton collisions at $\sqrt{s} =$ 13TeV
hep-ex 2018-08 accept novelty 5.0 of 10

CMS unfolds a dozen jet substructure distributions in top-quark pair events, flavor by flavor, and extracts the strong coupling at the Z mass from the angle between groomed subjets in bottom-quark jets.
Event generation with SHERPA 1.1
hep-ph 2008-11 accept novelty 5.0 of 10

SHERPA 1.1 integrates tree-level matrix elements, CKKW merging, cluster hadronisation, hadron decays, and YFS QED radiation into one validated event generator for lepton and hadron collisions.
The calibration of large-radius jets using the Run 2 dataset with the ATLAS detector
hep-ex 2026-07 conditional novelty 4.0 of 10

Large-radius jets from Unified Flow Objects, groomed with soft drop, are calibrated against Monte Carlo and collision data, with in-situ-validated jet energy and mass scales at 1% (≤1 TeV) to 2–3% (≤2 TeV) precision.
Heavy Flavor Jet Substructure at Lepton Colliders
hep-ph 2025-02 conditional novelty 4.0 of 10

NLL-accurate predictions for heavy-flavor energy correlation functions and jet angularities in e+e- collisions show all tested Monte Carlo generators overestimate the dead-cone suppression.
Event generation with Sherpa 3
hep-ph 2024-10 accept novelty 4.0 of 10

The Sherpa 3 release adds higher-order electroweak corrections, NLO photoproduction and hard diffraction, heavy-flavour matching, polarised cross sections, and a new colour-reconnection model to the Sherpa event generator.
Search for charged Higgs bosons decaying into a top quark and a bottom quark at $\sqrt{s}$=13 TeV with the ATLAS detector
hep-ex 2021-02 accept novelty 4.0 of 10

No charged Higgs boson decaying to a top and a bottom quark is observed in 139 inverse femtobarns of 13 TeV ATLAS data, and 95% confidence upper limits on its production rate fall from 3.6 picobarns at 200 GeV to 0.03...
Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
hep-ph 2012-01 accept novelty 4.0 of 10

The LHC Higgs Cross Section Working Group's second handbook fixes benchmark differential predictions, branching-ratio uncertainties, PDF correlations, and NLO+PS tuning prescriptions for LHC Higgs analyses.
The strong coupling constant: State of the art and the decade ahead
hep-ph 2022-03 accept novelty 3.0 of 10

Seven independent classes of measurement converge on a strong coupling alpha_s(m_Z) = 0.1179 +/- 0.0009, and the paper lays out what each class would need to reach per-mille precision within a decade.
Event Generation with Sherpa 2.2
hep-ph 2019-05 conditional novelty 3.0 of 10

The paper documents the Sherpa 2.2 event generator: its matrix-element generators, two parton showers, NLO and NNLO matching and multijet merging, hadronisation, underlying event, and comparisons of its predictions wi...
General-purpose event generators for LHC physics
hep-ph 2011-01 accept novelty 3.0 of 10

The review consolidates the physics basis and modelling choices behind the four main LHC general-purpose event generators into a single pedagogical reference, with explicit statements of where the modelling is uncertain.

How later papers used it

102 later papers cite it

Evidence: substantial. 88 of the citing papers share no author with it, and 69 of those carry a confident label from Pith's citation classifier.

Pith read 26 of the 118 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

18 later papers by other authors are listed below: 18 used its method or tool. 2 more papers by the same authors are listed: 2 used its method or tool.

Uses its method or tool 20 of 77 papers with this label · 2 by the same authors

Invoked a cluster hadronization model to account for the fragmentation of partons into hadrons.

Beyond Standard Model calculations with Sherpa (2014) · 1.00 · paraphrased: the licence does not allow quoting
Included non-perturbative effects due to hadronisation among other effects in its particle-level predictions.

Multi-jet merged top-pair production including electroweak corrections (2018) · 0.99 · paraphrased: the licence does not allow quoting
In both cases we further process the parton-level events using 's default particle-level simulation modules for the parton shower [ref] , the cluster hadronization [ref] and Sjöstrand–Zijl-like [ref] multiple parton interactions (MPI) model [ref] .

A Portable Parton-Level Event Generator for the High-Luminosity LHC (2023) · Validation · 1.00
The default tune is used. 2.2.12 with CS dipole PS interfaced with two different hadronization models, its native AHADIC++ cluster approach [ref] , and the Lund string model, to extract the hadronization model uncertainty.

Extracting $\alpha_\mathrm{S}$ at future $e^+e^{-}$ Higgs factory with energy correlators (2024) · Non-perturbative effects and uncertainties · 1.00
Obtained results using Sherpa2.2.8 with the cluster hadronization model.

Determination of $\alpha_{S}$ beyond NNLO using event shape averages (2020) · 0.97 · paraphrased: the licence does not allow quoting
The default parton shower [ref] based on Catani–Seymour dipole factorisation and the cluster hadronization model [ref] is used with the dedicated set of tuned parameters developed by the authors for the NNPDF3.0nnlo PDF set [ref] .

Measurement of the transverse momentum distribution of Drell-Yan lepton pairs in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector (2019) · Comparison with predictions · 1.00
To account for the parton-to-hadron transition we use the cluster fragmentation [ref] .

Phenomenology of jet angularities at the LHC (2021) · Monte Carlo simulations with · 1.00
The default parton shower [ref] based on Catani–Seymour dipoles and the cluster hadronisation model [ref] was used.

Cross-section measurements for the production of a $W$-boson in association with high-transverse-momentum jets in $pp$ collisions at $\sqrt{s}$= 13 TeV with the ATLAS detector (2024) · Data and simulated event samples · 1.00
The default cluster-based hadronization model is used for both samples [ref] .

Accuracy versus precision in boosted top tagging with the ATLAS detector (2024) · Monte carlo simulation samples · 0.93
To model the parton-to-hadron transition we use the cluster fragmentation model [ref] .

Jet Angularities in Z+jet production at the LHC (2021) · Monte Carlo generator setup · 1.00
The default Catani–Seymour dipole parton shower [ref] scheme and the cluster hadronization model [ref] are used.

Modelling and computational improvements to the simulation of single vector-boson plus jet processes for the ATLAS experiment (2021) · Section · 1.00
Hadronized its SHERPA2.2.4 events using the cluster fragmentation model to test fragmentation and hadronization model dependence.

Precise determination of $\alpha_{S}(M_Z)$ from a global fit of energy-energy correlation to NNLO+NNLL predictions (2018) · 0.99 · paraphrased: the licence does not allow quoting
Included hadronization in the case of e+e- to hadrons in its results.

The midpoint between dipole and parton showers (2015) · 0.98 · paraphrased: the licence does not allow quoting
Used Sherpa's default cluster fragmentation model implemented in AHADIC++ to simulate its results.

Probing light-quark Yukawa couplings via hadronic event shapes at lepton colliders (2016) · 1.00 · paraphrased: the licence does not allow quoting
The parton shower in 2 is based on the Catani–Seymour dipole factorization [ref] , and hadrons are formed by a modified cluster hadronization model [ref] .

Measurement of jet substructure observables in $\mathrm{t\overline{t}}$ events from proton-proton collisions at $\sqrt{s} =$ 13TeV (2018) · Data and simulated samples · 0.99
The parton shower in is based on the Catani–Seymour dipole factorization [ref] , and hadrons are formed by a modified cluster hadronization model [ref] .

Study of quark and gluon jet substructure in Z+jet and dijet events from pp collisions (2021) · Data and simulated samples · 0.88
Produced LO SHERPA samples using AHADIC++ instead of PYTHIA for hadronization as a second estimate of hadronization systematic uncertainties.

Localized $4\sigma$ and $5\sigma$ Dijet Mass Excesses in ALEPH LEP2 Four-Jet Events (2017) · 1.00 · paraphrased: the licence does not allow quoting
Hadronized its events using the cluster fragmentation model as implemented in Sherpa2.2.6.

High precision determination of $\alpha_s$ from a global fit of jet rates (2019) · 1.00 · paraphrased: the licence does not allow quoting

By the same authors

Produced hadron-level results using the fragmentation module.

QCD matrix elements and truncated showers (2009) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
Included a hadronisation simulation and hadron decays to arrive at a particle-level calculation.

Single top-quark production with SHERPA (2017) (same authors) · 1.00 · paraphrased: the licence does not allow quoting

How the literature uses it

96 arXiv papers cite this in 112 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 · 28 sentences without a confident label

Uses its method or tool 74 papers

Hadron-level results for the fragmentation function analysis in Sec. [ref] are produced using the fragmentation module [ref] and the hadron and $τ$ decay package [ref] .

Hard photon production and matrix-element parton-shower merging · Monte-Carlo setup · 1.00
Ultimately, invokes a cluster hadronization model [ref] to account for the fragmentation of partons into hadrons.

Beyond Standard Model calculations with Sherpa · Other aspects of event generation · 1.00
The native hadronization model in , AHADIC++ [ref] (in purple), hadronizes final-state partons with a cluster hadronization algorithm somewhat similar to that used in . also provides a direct interface to 8's string-breaking scheme[In this analysis, is interfaced with 8.315.], which is termed the Lund model[We note that itself uses the name “Pythia” to refer to this setting, but to avoid confusion with the comparisons to pure elsewhere in this text, this text will instead use the term “Lund” to refer to this particular configuration.] in this text (shown in dark blue).

Probing jet evolution with charged energy correlators in small systems · Comparison to Monte Carlo event generators · 0.91

Uses its data or values 1 paper

However, order-of-magnitude differences occur at lower transverse momenta: the probability of $Δη>4$ in minimum bias events at $=7$ TeV was found to be about 0.1 using a cluster hadronisation model [ref] and 0.02 for string fragmentation [ref] .

Prospects for quarkonium studies at the high-luminosity LHC · Experimental identification of diffractive processes · 0.91

Compares with it 2 papers

's cluster model [ref] differs from the model in multiple ways.

Event generation with Sherpa 3 · Cluster hadronisation · 0.95
The hadronisation model [ref] is also based on the cluster model, but makes a few different choices compared to the original formulation, and to the one implemented in .

The Monte Carlo Ecosystem in High-Energy Physics: A Primer · Cluster hadronisation in Sherpa · 0.80

Cites it as background 4 papers

Phenomenological models such that Fragmentation Functions [ref] or explicit dynamical models such as the string [ref] or cluster [ref] models which are embedded in Monte Carlo (MC) event generators [ref] are the up-to-date solutions to the hadronisation problem.

Particle spectra from dark matter annihilation: physics modeling and QCD uncertainties · Introduction · 0.91
However, by exploiting that it is a long-distance effect, as compared to the scales involved in typical high-energy (sub-femtometre) production processes, it can be formally factorised off in a universal (process-independent) way and represented either by parametric fits (called Fragmentation Functions, or FFs for short; see [ref] ) or by explicit dynamical models, such as the string [ref] or cluster [ref] models which are embedded in Monte Carlo (MC) event generators [ref] .

Estimating QCD uncertainties in Monte Carlo event generators for gamma-ray dark matter searches · Introduction · 0.95
Even though effective descriptions of the dynamical properties of larger collisional systems [ref] and of the low energy features [ref] can be constructed, an overarching framework, with a clear connection to first-principle quantum field theory (QFT), is still lacking.

Real-time simulation of jet energy loss and entropy production in high-energy scattering with matter · Introduction · 0.80

Discussion

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