pith. sign in

arxiv: 1906.09276 · v1 · pith:OWDZ3XZKnew · submitted 2019-06-21 · ✦ hep-ph · nucl-th

Aspects of heavy flavor jet physics in heavy ion collisions

Pith reviewed 2026-05-25 18:42 UTC · model grok-4.3

classification ✦ hep-ph nucl-th
keywords heavy flavor jetsheavy ion collisionsparton energy losssemi-inclusive jet functionsoft-collinear effective theoryopacity expansiondijet mass modification
0
0 comments X

The pith

The semi-inclusive jet function formalism applies to heavy flavor jet production in proton-nucleus and nucleus-nucleus collisions.

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

The paper presents three linked developments for heavy flavor jets in heavy ion collisions. It proposes dijet mass modification as an observable that tracks parton energy loss and heavy quark mass effects on showers. It demonstrates the first use of the semi-inclusive jet function approach, drawn from soft-collinear effective theory, for these jets at LHC energies in both proton-nucleus and nucleus-nucleus systems. It also supplies a general method to calculate parton branching inside nuclear matter at any chosen order in opacity. A reader would care because these steps give concrete ways to predict how jets form and lose energy when they traverse dense nuclear matter.

Core claim

The central claim is that soft-collinear effective theory techniques bridge high-energy QCD and heavy-ion phenomenology, shown by the first application of the semi-inclusive jet function formalism to heavy flavor jet production in proton-nucleus and nucleus-nucleus collisions at the LHC; this is paired with a new formalism that computes branching processes in nuclear matter to any order in opacity, and with the identification of dijet mass modification as an observable that enhances sensitivity to parton energy loss while allowing sharper study of heavy-quark mass effects on shower formation.

What carries the argument

The semi-inclusive jet function formalism, which encodes jet production cross sections and incorporates medium modifications for heavy flavor jets.

If this is right

  • Dijet mass modification supplies enhanced sensitivity to parton energy loss in nuclear matter.
  • The same observable permits more precise examination of heavy quark mass effects on parton shower formation.
  • Heavy flavor jet cross sections in proton-nucleus and nucleus-nucleus collisions at the LHC can be computed with the semi-inclusive jet function formalism.
  • Branching processes in nuclear matter can be evaluated to any desired order in opacity.

Where Pith is reading between the lines

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

  • These calculations could tighten constraints on the transport properties of the quark-gluon plasma extracted from jet data.
  • The opacity expansion for branching may be tested against other high-energy processes that involve dense media.
  • The same jet-function methods could be extended to additional observables such as jet fragmentation or substructure in heavy ion collisions.

Load-bearing premise

The semi-inclusive jet function formalism developed for high-energy collisions can be applied to heavy flavor jets in nuclear collisions using only the standard medium modifications already included in the setup.

What would settle it

A measurement of the dijet mass distribution in lead-lead collisions at the LHC that differs substantially from the distribution calculated with the semi-inclusive jet function formalism after medium effects are added.

Figures

Figures reproduced from arXiv: 1906.09276 by Ivan Vitev.

Figure 1
Figure 1. Figure 1: Left: the dijet imbalance zJ distributions for inclusive jets at √ sNN = 5.02 TeV are compared to CMS collaboration data [7]. The band corresponds to a range of coupling strengths between the jet and the medium: gmed = 1.8 − 2.0. Right: nuclear modification factor plotted as a function of dijet invariant mass m12 for b-tagged (right) dijet production in Au+Au collisions at √ sNN = 200 GeV at sPHENIX. We fi… view at source ↗
Figure 2
Figure 2. Figure 2: Left: comparison of predicted heavy flavor jet cross section RpA in proton-nucleus collisions to CMS measurements [17, 18] of c-jets (top) and b-jets (bottom) at √ sNN = 5.02 TeV. Right: the nuclear modification factor RAA of b-jets for different centrality classes (0-100%, 0-10% and 30-50% ), as indicated in the legend. Data is from CMS measurements [6]. Figures are reproduced from Ref. [12]. a multiscale… view at source ↗
Figure 3
Figure 3. Figure 3: Left: diagrammatic representation of the recursion relation for the Final/Final sector of the q → qg branching channel. Right: the one-dimensional differential splitting functions dN dx for a 100GeV jet as a function of the splitting fraction x. Both light and heavy quark results are shown where relevant. Insets: The ratio of the (1 st +2 nd)/1 st order results. Figures are reproduced from Ref. [16] 5. Con… view at source ↗
read the original abstract

n these proceedings I discuss several recent developments in the physics of heavy flavor jets in heavy ion collisions. i) The dijet mass modification in nucleus-nucleus reactions has been proposed as a new observable with enhanced sensitivity to parton energy loss in nuclear matter. It also enables more precise studies of heavy quark mass effects on parton shower formation. ii) Computational techniques from soft-collinear effective theory have allowed us to bridge the gap between high energy and heavy ion QCD phenomenology. I show the first application of the semi-inclusive jet function formalism to heavy flavor jet production in proton-nucleus and nucleus-nucleus collisions at the LHC. iii) Last but not least, central to the theoretical calculations of heavy flavor jets is the accurate theoretical description of in-medium parton showers. A formalism to compute branching processes in nuclear matter to any desired order in opacity has been developed and illustrative numerical results are presented.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. This proceedings paper discusses three developments in heavy flavor jet physics in heavy ion collisions: (i) the proposal of dijet mass modification in nucleus-nucleus reactions as a new observable sensitive to parton energy loss and enabling precise studies of heavy quark mass effects on parton showers; (ii) the first application of the SCET semi-inclusive jet function formalism to heavy flavor jet production in pA and AA collisions at the LHC; and (iii) a new formalism for computing in-medium branching processes to arbitrary order in opacity, accompanied by illustrative numerical results.

Significance. If the central claims hold, the work bridges high-energy SCET techniques with heavy-ion phenomenology by providing a systematic opacity expansion and new observables. The arbitrary-order opacity formalism for branching processes, if reproducible and validated against known limits, represents a concrete technical advance for medium-modified showers.

major comments (2)
  1. [Abstract, point (ii)] Abstract, point (ii): the claim that the semi-inclusive jet function formalism applies directly to heavy flavor jets with only 'standard medium modifications' is load-bearing for the assertion of more precise heavy-quark mass studies, yet the manuscript provides no explicit matching or operator adjustment showing that dead-cone suppression and mass-dependent modifications to the in-medium kernel are automatically captured by the massless SCET construction.
  2. [Abstract, point (iii)] Abstract, point (iii): while a formalism for branching to any order in opacity is announced, the absence of the explicit recursion relation or kernel (and any demonstration that it reduces to the known first-order result) prevents assessment of whether the central computational claim is internally consistent.
minor comments (2)
  1. [Abstract] Abstract opening sentence contains a typographical error ('n these proceedings' instead of 'In these proceedings').
  2. The manuscript would benefit from a short table or equation block summarizing the opacity expansion order-by-order to make the numerical results more transparent.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our proceedings contribution and the constructive feedback on the abstract claims. We address each major comment below and will incorporate clarifications into a revised version.

read point-by-point responses
  1. Referee: [Abstract, point (ii)] Abstract, point (ii): the claim that the semi-inclusive jet function formalism applies directly to heavy flavor jets with only 'standard medium modifications' is load-bearing for the assertion of more precise heavy-quark mass studies, yet the manuscript provides no explicit matching or operator adjustment showing that dead-cone suppression and mass-dependent modifications to the in-medium kernel are automatically captured by the massless SCET construction.

    Authors: The semi-inclusive jet function formalism is applied to heavy-flavor jets by retaining the heavy-quark mass in the jet function definition while using medium-modified splitting kernels that incorporate mass-dependent effects such as dead-cone suppression. However, the proceedings manuscript does not contain an explicit operator matching or derivation demonstrating how these mass-dependent in-medium modifications arise from the massless SCET construction. We agree that adding a concise clarification or reference to the detailed matching performed in the underlying work would strengthen the presentation and will revise the text accordingly. revision: yes

  2. Referee: [Abstract, point (iii)] Abstract, point (iii): while a formalism for branching to any order in opacity is announced, the absence of the explicit recursion relation or kernel (and any demonstration that it reduces to the known first-order result) prevents assessment of whether the central computational claim is internally consistent.

    Authors: The arbitrary-order opacity formalism is constructed via a recursive relation for the in-medium branching probabilities. Space constraints in the proceedings format prevented inclusion of the explicit recursion and the explicit reduction to the first-order result. We will add both the recursion relation and the first-order consistency check in the revised manuscript so that the internal consistency of the formalism can be directly assessed. revision: yes

Circularity Check

0 steps flagged

No significant circularity; new applications and formalisms are independent of inputs

full rationale

The paper presents a proposal for dijet mass as a new observable, the first application of an existing SCET semi-inclusive jet function to heavy-flavor jets in nuclear collisions, and a new opacity-expansion formalism for in-medium branching. None of these reduce by construction to fitted parameters, self-definitions, or load-bearing self-citations; the central claims are extensions and applications whose validity rests on external SCET and medium-induced radiation calculations rather than tautological renaming or statistical forcing. The provided text contains no equations or derivations that equate outputs to inputs by definition.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only; no free parameters, axioms, or invented entities are specified. The work relies on existing SCET and opacity expansion frameworks without detailing new postulates.

pith-pipeline@v0.9.0 · 5670 in / 1163 out tokens · 24747 ms · 2026-05-25T18:42:33.857588+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

20 extracted references · 20 canonical work pages · 15 internal anchors

  1. [1]

    Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions

    A. Andronic et al., Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions, Eur. Phys. J.C76 (2016) 107 [1506.03981]

  2. [2]

    Inclusive b-jet production in heavy ion collisions at the LHC

    J. Huang, Z.-B. Kang and I. Vitev, Inclusive b-jet production in heavy ion collisions at the LHC, Phys. Lett. B726 (2013) 251 [1306.0909]

  3. [3]

    The different energy loss mechanisms of inclusive and b-tagged reconstructed jets within ultra-relativistic heavy-ion collisions

    F. Senzel, J. Uphoff, Z. Xu and C. Greiner, The different energy loss mechanisms of inclusive and b-tagged reconstructed jets within ultra-relativistic heavy-ion collisions, Phys. Lett. B773 (2017) 620 [1602.05086]

  4. [4]

    H. T. Li and I. Vitev, Inverting the mass hierarchy of jet quenching effects with prompt b-jet substructure, Phys. Lett. B793 (2019) 259 [1801.00008]

  5. [5]

    W. Dai, S. Wang, S.-L. Zhang, B.-W. Zhang and E. Wang, Transverse Momentum Balance and Angular Distribution of b¯b Dijets in Pb+Pb collisions, 1806.06332

  6. [6]

    CMS collaboration, Evidence of b-Jet Quenching in PbPb Collisions at√sNN = 2.76 TeV, Phys. Rev. Lett. 113 (2014) 132301 [1312.4198]

  7. [7]

    Comparing transverse momentum balance of b jet pairs in pp and PbPb collisions at $\sqrt{s_\mathrm{NN}} =$ 5.02 TeV

    CMS collaboration, Comparing transverse momentum balance of b jet pairs in pp and PbPb collisions at√sNN = 5.02 TeV, JHEP 03 (2018) 181 [1802.00707]. 5 Heavy flavor jets Ivan Vitev

  8. [8]

    H. Hassan, Charm jet production and properties in pp, p-Pb, and PbPb collisions measured with ALICE at the LHC, in 19th International Workshop on Charm Physics (CHARM 2018), (Novosibirsk, Russia), May, 2018, https://hal.archives-ouvertes.fr/hal-01846896

  9. [9]

    PHENIX collaboration, An Upgrade Proposal from the PHENIX Collaboration, 1501.06197

  10. [10]

    Z.-B. Kang, J. Reiten, I. Vitev and B. Yoon, Light and heavy flavor dijet production and dijet mass modification in heavy ion collisions, Phys. Rev. D99 (2019) 034006 [1810.10007]

  11. [11]

    Heavy Quark Radiative Energy Loss in QCD Matter

    M. Djordjevic and M. Gyulassy, Heavy quark radiative energy loss in QCD matter, Nucl. Phys. A733 (2004) 265 [nucl-th/0310076]

  12. [12]

    H. T. Li and I. Vitev, Inclusive heavy flavor jet production with semi-inclusive jet functions: from proton to heavy-ion collisions, 1811.07905

  13. [13]

    L. Dai, C. Kim and A. K. Leibovich, Heavy Quark Jet Fragmentation, JHEP 09 (2018) 109 [1805.06014]

  14. [14]

    Z.-B. Kang, F. Ringer and I. Vitev, Effective field theory approach to open heavy flavor production in heavy-ion collisions, JHEP 03 (2017) 146 [1610.02043]

  15. [15]

    C. Lee, P. Shrivastava and V . Vaidya,Predictions for energy correlators probing substructure of groomed heavy quark jets, 1901.09095

  16. [16]

    M. D. Sievert, I. Vitev and B. Yoon, A complete set of in-medium splitting functions to any order in opacity, 1903.06170

  17. [17]

    CMS collaboration, Measurements of the charm jet cross section and nuclear modification factor in pPb collisions at√sNN = 5.02 TeV, Phys. Lett. B772 (2017) 306 [1612.08972]

  18. [18]

    CMS collaboration, Transverse momentum spectra of inclusive b jets in pPb collisions at√sNN = 5.02 TeV, Phys. Lett. B754 (2016) 59 [1510.03373]

  19. [19]

    M. D. Sievert and I. Vitev, Quark branching in QCD matter to any order in opacity beyond the soft gluon emission limit, Phys. Rev. D98 (2018) 094010 [1807.03799]

  20. [20]

    Intensity of gluon bremsstrahlung in a finite plasma

    X. Feal and R. Vazquez, Intensity of gluon bremsstrahlung in a finite plasma, Phys. Rev. D98 (2018) 074029 [1811.01591]. 6