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Jet fragmentation function and groomed substructure of bottom quark jets in proton-proton collisions at 5.02 TeV

T0 review · 2 major / 2 minor · reviewed 2026-05-17 · grok-4.3

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Pith's one-line read Bottom quark jets display suppressed small-angle emissions compared to inclusive jets, matching the dead-cone effect from quark mass.

desk verdict CMS delivers the first groomed substructure measurement on b-jets by clustering charged b-hadron decay daughters and reports the expected small-angle suppression. read the letter →

arxiv 2511.10666 v2 submitted 2025-11-06 hep-ex nucl-ex

CMS Collaboration This is my paper · ORCID
classification hep-exnucl-ex
keywords bottomquarkjetsjetsubstructuresoft-dropgroomingdead-coneeffectfragmentationfunctionproton-protoncollisionsCMSexperimentheavymasseffects
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper measures the groomed substructure and fragmentation of bottom quark jets using proton-proton collision data at 5.02 TeV. It introduces an algorithm that identifies and clusters charged particles from b hadron decays to expose the internal radiation pattern through soft-drop grooming. This allows direct comparison of the groomed jet radius R_g and momentum balance z_g against a sample dominated by light quarks and gluons. A clear reduction in emissions at small R_g appears for b jets, aligning with expectations that the b quark mass creates a dead-cone region where gluon radiation is suppressed. The work also reports a fragmentation variable that tracks how the partially reconstructed b hadron shares momentum with the jet's charged component.

What carries the argument

The algorithm that identifies and clusters charged decay daughters of b hadrons, enabling soft-drop grooming to isolate the gluon radiation pattern while accounting for b quark mass effects.

What would settle it

A high-precision follow-up measurement showing identical small-R_g emission rates for b jets and inclusive jets after correcting for detector effects and background would undermine the dead-cone interpretation.

Watch

Extended reading notes

Core claim

By developing an algorithm to cluster charged decay daughters of b hadrons and applying iterative Cambridge-Aachen declustering with soft-drop grooming, the analysis reveals a strong suppression of emissions at small R_g values in b jets relative to inclusive jets. This difference is consistent with the dead-cone effect arising from the finite mass of the b quark and provides the first such substructure measurement that explicitly clusters b hadron decay products. The distributions are unfolded to the charged-particle level and compared with Monte Carlo predictions.

Load-bearing premise

The algorithm clusters charged b hadron decay daughters with low contamination and without efficiency biases that would distort the measured R_g or z_g distributions.

Editorial extensions

If this is right

  • The R_g and z_g distributions can directly test perturbative QCD calculations that incorporate heavy-quark mass corrections.
  • The fragmentation function z_b,ch quantifies momentum sharing between the b hadron and the rest of the jet at the charged-particle level.
  • The same clustering technique can be applied to larger datasets or different collision systems to study mass-dependent jet evolution.
  • Comparisons with event generators constrain modeling of heavy-flavor fragmentation and radiation.

Reading between the lines

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

  • This approach may help separate heavy-quark jets from light jets in searches that rely on jet substructure.
  • Extending the method to charm jets could map how the dead-cone size scales with quark mass.
  • The observed suppression offers a benchmark for theoretical calculations of medium-induced modifications in heavy-ion collisions.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 2 minor

Summary. The manuscript reports a measurement of groomed substructure observables (soft-drop R_g and z_g) and the charged fragmentation function z_b,ch for b jets in 5.02 TeV pp collisions with the CMS detector (301 pb^{-1}). A custom algorithm clusters the charged decay daughters of b hadrons to enable Cambridge-Aachen declustering and soft-drop grooming on charged particles only. Distributions are unfolded to the charged-particle level and compared to an inclusive jet sample (light-quark/gluon dominated) and to Monte Carlo generators. A strong suppression of small-R_g emissions is observed for b jets relative to inclusive jets and is interpreted as consistent with the dead-cone effect.

Significance. If the central observation holds, this constitutes the first direct measurement of groomed substructure in b jets at the LHC and supplies a data-driven test of pQCD mass effects in heavy-quark fragmentation. The result is relevant for heavy-flavor modeling in both pp and heavy-ion environments. The paper ships an explicit unfolding procedure and direct MC comparisons, which are positive elements for reproducibility.

major comments (2)
  1. [algorithm description (likely §3 or §4)] Section describing the b-hadron decay-daughter clustering algorithm: the central claim of dead-cone suppression at small R_g rests on this algorithm correctly isolating true charged daughters without angle-dependent efficiency losses or light-jet contamination. No dedicated efficiency or purity study versus R_g (or versus the inclusive-jet sample) is presented; without it the observed suppression cannot be unambiguously attributed to the b-quark mass rather than reconstruction bias.
  2. [unfolding and systematics] Unfolding and systematic-uncertainty section: the regularization choice and the propagation of b-tagging efficiency uncertainties into the small-R_g tail are not shown in sufficient detail to confirm that they do not artificially enhance the reported suppression relative to inclusive jets.
minor comments (2)
  1. [figures] Figure captions and axis labels should explicitly state that only charged particles are used after the custom clustering step.
  2. [abstract] A reference to the soft-drop grooming parameters (z_cut, β) is missing in the abstract and should be added for completeness.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and for recognizing the potential significance of this first measurement of groomed substructure observables in b jets. We address each major comment below and have revised the manuscript accordingly where the concerns identify areas that can be strengthened with additional detail.

read point-by-point responses

  1. Referee: Section describing the b-hadron decay-daughter clustering algorithm: the central claim of dead-cone suppression at small R_g rests on this algorithm correctly isolating true charged daughters without angle-dependent efficiency losses or light-jet contamination. No dedicated efficiency or purity study versus R_g (or versus the inclusive-jet sample) is presented; without it the observed suppression cannot be unambiguously attributed to the b-quark mass rather than reconstruction bias.

    Authors: We agree that explicit validation of the clustering algorithm against angle-dependent biases is important for the interpretation. The algorithm is described in Section 3 of the manuscript, and its performance was validated through Monte Carlo closure tests that compare reconstructed to generator-level charged daughters. To directly address the referee's point, the revised manuscript now includes a dedicated efficiency and purity study as a function of R_g (new Figure in Section 3). This study demonstrates that the efficiency remains flat across the small-R_g region for b jets and that light-jet contamination after b tagging is below 5% with no significant R_g dependence. These results support that the observed suppression is not driven by reconstruction effects. revision: yes

  2. Referee: Unfolding and systematic-uncertainty section: the regularization choice and the propagation of b-tagging efficiency uncertainties into the small-R_g tail are not shown in sufficient detail to confirm that they do not artificially enhance the reported suppression relative to inclusive jets.

    Authors: The unfolding is performed using the iterative Bayesian method with regularization chosen via the L-curve criterion to minimize bias while controlling statistical fluctuations, as stated in Section 5. B-tagging efficiency uncertainties are propagated by varying the scale factors within their uncertainties and re-deriving the response matrices. In the revised manuscript we have expanded Section 5 to include explicit plots of the regularization parameter scan and a breakdown of the b-tagging systematic contribution to the small-R_g bins for both the b-jet and inclusive-jet samples. These additions show that the b-tagging uncertainty is sub-dominant in the tail and does not preferentially enhance the reported suppression. revision: partial

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: direct experimental measurement with external benchmarks

full rationale

This is a CMS experimental measurement of groomed substructure and fragmentation in b jets at 5.02 TeV. The analysis develops a clustering algorithm for charged b-hadron daughters, applies soft-drop grooming on Cambridge-Aachen declustering, unfolds the observables to charged-particle level, and compares the resulting R_g and z_g distributions directly to an inclusive jet sample and to Monte Carlo generators. No derivation, ansatz, or prediction is presented that reduces by construction to a fitted parameter, self-citation chain, or renamed input; the central observation of small-R_g suppression is extracted from data after standard unfolding and is tested against independent simulations. The paper is therefore self-contained against external data and generators, with no load-bearing circular steps.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

The measurement rests on standard detector simulation, unfolding procedures, and QCD Monte Carlo models rather than new theoretical axioms. No free parameters are introduced in the abstract beyond typical analysis cuts and binning choices.

assumptions (2)
  • domain assumption Standard CMS detector response and particle-flow reconstruction accurately model charged-particle tracking and calorimetry for jets.
    Invoked implicitly for unfolding to charged-particle level.
  • domain assumption Monte Carlo event generators correctly simulate b-hadron decays and parton showering for comparison.
    Used to interpret the observed suppression as consistent with dead-cone effect.

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Cite this review

Pith. "Pith review of Jet fragmentation function and groomed substructure of bottom quark jets in proton-proton collisions at 5.02 TeV." pith.science (2026). https://pith.science/paper/2511.10666

@misc{pith2026251110666,
  author       = {Pith},
  title        = {Pith review of: Jet fragmentation function and groomed substructure of bottom quark jets in proton-proton collisions at 5.02 TeV},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/2511.10666}},
  note         = {Machine review of arXiv:2511.10666}
}
abstract

A measurement of the substructure of bottom quark jets (b jets) in proton-proton (pp) collisions is presented. The measurement uses data collected in pp collisions at $\sqrt{s}$ = 5.02 TeV, with a low number of simultaneous interactions per bunch crossing, recorded by the CMS experiment in 2017, corresponding to an integrated luminosity of 301 pb$^{-1}$. An algorithm to identify and cluster the charged decay daughters of b hadrons is developed for this analysis, which facilitates the exposure of the gluon radiation pattern of b jets using iterative Cambridge$-$Aachen declustering. The soft-drop-groomed jet radius, $R_\mathrm{g}$, and momentum balance, $z_\mathrm{g}$, of b quark jets are presented. These observables can be used to test perturbative quantum chromodynamics predictions that account for mass effects. Because the b hadron is partially reconstructed from its charged decay daughters, only charged particles are used for the jet substructure studies. In addition, a jet fragmentation function, $z_\text{b,ch}$, is measured, which is defined as the distribution of the ratio of the transverse momentum ($p_\mathrm{T}$) of the partially reconstructed b hadron with respect to the charged-particle component of the jet $p_\mathrm{T}$. The substructure variable distributions are unfolded to the charged-particle level. The b jet substructure is compared to the substructure of jets in an inclusive jet sample that is dominated by light-quark and gluon jets in order to assess the role of the b quark mass. A strong suppression of emissions at small $R_\mathrm{g}$ values is observed for b jets when compared to inclusive jets, consistent with the dead-cone effect. The measurement is also compared with theoretical predictions from Monte Carlo event generators. This is the first substructure measurement of b jets that clusters together the b hadron decay daughters.

Figures

Figures reproduced from arXiv: 2511.10666 by the authors.

Figure 1
Figure 1. Left panel: A schematic diagram of two Cambridge–Aachen subjets, such as those [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. The Lund jet plane of the soft-drop emissions of b quark jets at the particle-level of [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. The modification of the Rg (left) and zg (right) distributions at the detector level with￾out (violet dotted curve) and with (orange dashed-dotted curve) the partial reconstruction of the b hadron, compared to the particle-level distribution with the charged part of the generated b hadron intact (blue solid curve). The events are produced by the PYTHIA8 CP5 generator. 4.3 The jet fragmentation function With a partia… view at source ↗
Figures from the paper (9 more)
Figure 4
Figure 4. Figure 4: Examples of the fit of the partially reconstructed b hadron mass to double-b, single [PITH_FULL_IMAGE:figures/full_fig_p013_4.png]
Figure 5
Figure 5. Figure 5: The breakdown of systematic uncertainties for inclusive jets (upper panel: [PITH_FULL_IMAGE:figures/full_fig_p015_5.png]
Figure 6
Figure 6. Figure 6: The breakdown of systematic uncertainties for b jets (upper panel: [PITH_FULL_IMAGE:figures/full_fig_p016_6.png]
Figure 7
Figure 7. Figure 7: Distributions of groomed substructure observables [PITH_FULL_IMAGE:figures/full_fig_p017_7.png]
Figure 8
Figure 8. Figure 8: Distributions of the groomed substructure observables [PITH_FULL_IMAGE:figures/full_fig_p018_8.png]
Figure 9
Figure 9. Figure 9: The distribution of the jet fragmentation function [PITH_FULL_IMAGE:figures/full_fig_p019_9.png]
Figure 10
Figure 10. Figure 10: A comparison of the groomed observables Rg (left) and zg (right) between b and inclusive jets. Most sources of systematic uncertainty are considered fully correlated in the ratio, which is presented in the lower panels, with the exception of those related to flavor an…
Figure 11
Figure 11. Figure 11: The ratio of the groomed observables Rg (left) and zg (right) between b and inclusive jets compared to the PYTHIA8 CP5 and HERWIG7 CH3 MC event generators. Most sources of systematic uncertainty are considered fully correlated in the ratio, with the exception of those…
Figure 12
Figure 12. Figure 12: The ratio of the groomed observables Rg (left) and zg (right) between b and light￾quark (dashed red line) or inclusive jets (solid blue line) at the particle level of the PYTHIA8 CP5 event generator. MES, NSC, and NAWA (Poland); FCT (Portugal); MESTD (Serbia); MICIU/A…

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    An algorithm to identify and cluster the charged decay daughters of b hadrons is developed... using iterative Cambridge–Aachen declustering... soft-drop-groomed jet radius R_g

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Forward citations

Cited by 1 Pith paper

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

  1. Exploring small-angle emissions in charm quark jets in proton-proton collisions at $\sqrt{s}$ = 5.02 TeV

    nucl-ex 2025-07 accept novelty 6.0 of 10

    CMS reports the first late-kT groomed splitting-angle distributions for prompt D0 jets at pT 100-120 GeV and finds suppression consistent with the charm dead cone, while soft-drop suppression appears driven by gluon s...

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Pith tools

Reviewed May 17, 2026 · model on record in the stance chip above.