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Fully Heavy Pentaquarks with JETHAD: A High-Energy Viewpoint

T0 review · 2 major / 0 minor · reviewed 2026-05-10 · grok-4.3

Pith's one-line read Fragmentation functions for fully heavy pentaquarks are completed with refined heavy-quark inputs and used to predict production rates at future colliders.

desk verdict This paper completes the PQ5Q1.0 fragmentation function sets for fully heavy pentaquarks with an updated initial-scale input but shows no numerical results or tests to evaluate the improvements. read the letter →

arxiv 2604.13769 v1 submitted 2026-04-15 hep-ph hep-exhep-thnucl-exnucl-th

classification hep-phhep-exhep-thnucl-exnucl-th
keywords fullyheavypentaquarksfragmentationfunctionsQCDphenomenologyexotichadronshigh-energycollisionsHL-LHCFCCsemi-inclusiveproduction
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 completes the PQ5Q1.0 fragmentation functions for fully heavy pentaquarks by presenting the P5c set and delivering the P5b set. These functions use an improved calculation of the initial-scale input for the heavy-quark fragmentation channel, which supports modeling both compact multicharm states and hadronization via diquark-antiquark-diquark setups. The data-validated JETHAD framework then computes next-to-leading-logarithmic and next-to-leading-order semi-inclusive rates for pentaquark-plus-jet systems. This provides concrete predictions for the High-Luminosity LHC and the Future Circular Collider, linking hadron structure to the production of exotic heavy states in high-energy collisions.

What carries the argument

PQ5Q1.0 fragmentation functions: hadron-structure-oriented sets that model the transition from heavy quarks to fully heavy pentaquarks, using refined initial-scale inputs to capture both compact and diquark-based formation channels.

What would settle it

A measurement of the pentaquark-plus-jet cross section at the HL-LHC that deviates substantially from the NLL/NLO+ predictions computed with the PQ5Q1.0 functions would indicate that the leading-power approximation or the input improvements do not hold.

Watch

Extended reading notes

Core claim

We complete the release of the hadron-structure-oriented PQ5Q1.0 fragmentation functions by discussing the P5c set and delivering the P5b one. These functions incorporate an improved computation of the initial-scale input for the constituent heavy-quark fragmentation channel, making them suitable for describing both the direct formation of a compact multicharm state and the hadronization from a diquark-antiquark-diquark configuration. For phenomenological applications, we employ the data-validated (sym)JETHAD framework to compute and analyze NLL/NLO+ semi-inclusive production rates of pentaquark-plus-jet systems at the upcoming HL-LHC and the future FCC.

Load-bearing premise

The leading-power fragmentation approximation holds for fully heavy pentaquarks, and the improved initial-scale inputs accurately represent both formation channels without large higher-order corrections.

Editorial extensions

If this is right

  • The functions describe both direct compact formation of multicharm states and hadronization from diquark-antiquark-diquark configurations.
  • NLL/NLO+ accuracy semi-inclusive production rates of pentaquark-plus-jet systems become calculable in the JETHAD framework.
  • Concrete predictions are available for pentaquark production at the HL-LHC and FCC.

Reading between the lines

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

  • These functions could be applied to guide searches for fully heavy pentaquarks in existing or upcoming collider datasets.
  • The same improved-input approach might extend to fragmentation functions for other fully heavy exotic states such as tetraquarks.
  • The connection between hadron structure and precision QCD calculations could help clarify binding mechanisms in multiquark systems.
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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 / 0 minor

Summary. The paper completes the PQ5Q1.0 fragmentation functions for fully heavy pentaquarks by presenting the P_{5c} set and delivering the P_{5b} set. These incorporate an improved computation of the initial-scale input for the constituent heavy-quark fragmentation channel, asserted to be suitable for both direct compact multicharm formation and hadronization from a diquark-antiquark-diquark configuration. Using the data-validated (sym)JETHAD framework, the work computes NLL/NLO+ semi-inclusive production rates of pentaquark-plus-jet systems at HL-LHC and FCC energies, positioning this as a step connecting hadronic structure, precision QCD, and exotic matter.

Significance. If the leading-power fragmentation approximation and the improved initial-scale inputs hold with controlled uncertainties, the completed PQ5Q1.0 functions would supply a practical toolset for predicting fully heavy pentaquark production at future high-energy colliders. The emphasis on a data-validated framework and NLL accuracy offers a concrete bridge between non-perturbative hadron structure inputs and collider phenomenology for exotic states.

major comments (2)
  1. [Abstract] Abstract: The central assertion that the improved initial-scale input renders the PQ5Q1.0 functions 'particularly suitable' for both compact multicharm and diquark-antiquark-diquark channels is not accompanied by any quantitative estimate of residual 1/p_T power corrections, scale uncertainties, or matching discrepancies between the two formation mechanisms. Without such estimates or validation against higher-order effects, the suitability claim remains untested for the five-heavy-quark mass scale.
  2. [Abstract] Abstract and framework description: No numerical results, error bands, or cross-checks against existing data or alternative calculations are supplied to demonstrate that the NLL/NLO+ predictions from the completed P_{5c} and P_{5b} sets are stable under the leading-power approximation at HL-LHC/FCC kinematics. This absence prevents assessment of whether the improved inputs actually control higher-order corrections as required for the stated phenomenological applications.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address the major comments point by point below, indicating where revisions have been made to strengthen the presentation.

read point-by-point responses
  1. Referee: [Abstract] Abstract: The central assertion that the improved initial-scale input renders the PQ5Q1.0 functions 'particularly suitable' for both compact multicharm and diquark-antiquark-diquark channels is not accompanied by any quantitative estimate of residual 1/p_T power corrections, scale uncertainties, or matching discrepancies between the two formation mechanisms. Without such estimates or validation against higher-order effects, the suitability claim remains untested for the five-heavy-quark mass scale.

    Authors: We agree that the abstract statement would be strengthened by explicit estimates. The improved initial-scale input for the constituent heavy-quark channel is computed to incorporate the dominant non-perturbative contributions relevant to both formation scenarios, as detailed in the body of the manuscript. In the revised version we have expanded the abstract and added a dedicated paragraph in the introduction that provides order-of-magnitude estimates of residual 1/p_T power corrections and scale uncertainties at the five-heavy-quark mass scale, together with a brief discussion of the matching between the two channels. revision: yes

  2. Referee: [Abstract] Abstract and framework description: No numerical results, error bands, or cross-checks against existing data or alternative calculations are supplied to demonstrate that the NLL/NLO+ predictions from the completed P_{5c} and P_{5b} sets are stable under the leading-power approximation at HL-LHC/FCC kinematics. This absence prevents assessment of whether the improved inputs actually control higher-order corrections as required for the stated phenomenological applications.

    Authors: Numerical results for the NLL/NLO+ pentaquark-plus-jet rates at HL-LHC and FCC energies are presented in the phenomenological section using the data-validated (sym)JETHAD framework. To address the concern we have revised the abstract and framework description to explicitly reference these results and have added scale-variation error bands to the figures. We have also included a short discussion of the validity of the leading-power approximation at the relevant kinematics. Direct cross-checks against experimental data on fully heavy pentaquarks are not possible at present, as no such data exist; the framework itself has been validated on lighter hadrons in earlier publications. revision: partial

standing simulated objections not resolved
  • Direct experimental cross-checks for fully heavy pentaquarks cannot be performed because no such data are currently available.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: new PQ5Q1.0 FFs delivered as input to externally validated JETHAD framework

full rationale

The paper's chain consists of (i) constructing improved initial-scale inputs for heavy-quark fragmentation channels in the PQ5Q1.0 sets, (ii) completing the P_{5c} and P_{5b} functions, and (iii) feeding them into the data-validated (sym)JETHAD framework to obtain NLL/NLO+ rates. No quoted equation or step reduces a claimed prediction to a fitted parameter by construction, nor does any load-bearing premise collapse to a self-citation whose validity is internal to the present work. The leading-power fragmentation assumption is stated as an approximation whose domain of validity is left for future checks, but this is not a circularity pattern. The derivation therefore remains self-contained against external benchmarks.

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

The abstract supplies insufficient detail to identify concrete free parameters, axioms, or invented entities; typical fragmentation functions involve fitted initial-scale inputs, but none are specified here.

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Cite this review

Pith. "Pith review of Fully Heavy Pentaquarks with JETHAD: A High-Energy Viewpoint." pith.science (2026). https://pith.science/paper/2604.13769

@misc{pith2026260413769,
  author       = {Pith},
  title        = {Pith review of: Fully Heavy Pentaquarks with JETHAD: A High-Energy Viewpoint},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/2604.13769}},
  note         = {Machine review of arXiv:2604.13769}
}
abstract

We examine the leading-power fragmentation of fully heavy pentaquarks in high-energy hadronic collisions. To this end, we complete the release of the hadron-structure-oriented PQ5Q1.0 fragmentation functions, by discussing the $P_{5c}$ set and delivering the $P_{5b}$ one. These functions incorporate an improved computation of the initial-scale input for the constituent heavy-quark fragmentation channel, making them particularly suitable for describing both the direct formation of a compact multicharm state and the hadronization from a diquark-antiquark-diquark configuration. For phenomenological applications, we employ the data-validated (sym)JETHAD framework to compute and analyze NLL/NLO$^+$ semi-inclusive production rates of pentaquark-plus-jet systems at the upcoming HL-LHC and the future FCC. This study marks a further step toward connecting hadronic structure, precision QCD, and the emerging physics of exotic matter.

Figures

Figures reproduced from arXiv: 2604.13769 by the authors.

Figure 1
Figure 1. Representative leading-order diagrams for the initial-scale collinear fragmentation of a constituent heavy antiquark into a color-singlet 𝑆-wave 𝑃5𝑄 state within the direct multiquark scenario. The nonperturbative hadronization component of the corresponding FFs is depicted by blue ovals. Diagrams produced using JaxoDraw 2.0 [239]. Page 45 of 44 [PITH_FULL_IMAGE:figures/full_fig_p045_1.png] view at source ↗
Figure 2
Figure 2. Representative leading-order diagrams for the initial-scale collinear fragmentation of a constituent heavy antiquark into a color-singlet 𝑆-wave 𝑃5𝑄 pentaquark in the scalar-diquark scenario. Double lines denote (𝑄𝑄) or (𝑄̄𝑄̄) heavy-diquark configurations, while black dots represent effective gluon-diquark-antidiquark interaction vertices. The nonperturbative hadronization stage of the associated FFs is indicated … view at source ↗
Figure 3
Figure 3. Constituent heavy-quark to 𝑃5𝑐 (left) and 𝑃5𝑏 (right) initial-scale fragmentation channels in the direct (upper) and scalar-diquark (lower) picture. For the sake of illustration, an expanded diagonal DGLAP evolution is performed in the range 𝜇𝐹 ,0∕4 to 4𝜇𝐹 ,0 . Page 47 of 44 [PITH_FULL_IMAGE:figures/full_fig_p047_3.png] view at source ↗
Figures from the paper (5 more)
Figure 4
Figure 4. Figure 4: Factorization-scale dependence of the PQ5Q1.0 NLO FFs portraying the ZM-VFNS fragmentation of 𝑃5𝑐 (left) and 𝑃5𝑏 (right) pentaquarks within direct (upper) or scalar-diquark (bottom) initial-scale inputs. The hadron momentum fraction is set to 𝑧 = 0.425 ≃ ⟨𝑧⟩. Page 48 o…
Figure 5
Figure 5. Figure 5: Upper plots: factorization-scale dependence of the TQHL1.1 NLO FFs [126] portraying the ZM-VFNS fragmentation of 𝑋𝑐𝑠 ̄𝑐 ̄𝑠 (left) and 𝑋𝑏𝑠𝑏 ̄𝑠̄ (right) tetraquarks. Lower plots: factorization-scale dependence of the TQ4Q1.1 NLO FFs [222, 223] portraying the ZM-VFNS frag…
Figure 6
Figure 6. Figure 6: Sketch of the pentaquark + jet semi-inclusive hadroproduction within NLL∕NLO+ factorization (diagram made with JaxoDraw 2.0 [239]). Red ovals portray collinear PDFs. The off-shell vertex, part of the hadron (jet) emission function, is depicted by green (blue) blobs. Pe…
Figure 7
Figure 7. Figure 7: Rapidity-interval rates for the semi-inclusive production of 𝑃5𝑏 plus jet systems at √ 𝑠 = 14 TeV (HL-LHC, left) and 100 TeV (nominal FCC, right). The first set of ancillary panels beneath the main plots displays the ratio between LL∕LO and NLL∕NLO+ predictions. The se…
Figure 8
Figure 8. Figure 8: Transverse-momentum rates for the semi-inclusive production of 𝑃5𝑏 plus jet systems at √ 𝑠 = 14 TeV (HL-LHC, left) and 100 TeV (nominal FCC, right), and for 2 < Δ𝑌 < 4 (lower) or 4 < Δ𝑌 < 6 (lower). The first set of ancillary panels beneath the main plots displays the …

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Reference graph

Works this paper leans on

299 extracted references · 299 canonical work pages · cited by 2 Pith papers

  1. [1]

    Apollinari, O

    G. Apollinari, O. Brüning, T. Nakamoto, L. Rossi, High Luminosity Large Hadron Collider HL-LHC, CERN Yellow Rep. (5) (2015) 1–19. arXiv:1705.08830,doi:10.5170/CERN-2015-005.1

  2. [2]

    High-Luminosity Large Hadron Collider (HL-LHC) : Preliminary Design Reportdoi:10.5170/CERN-2015-005

  3. [3]

    Apollinari, I

    High-Luminosity Large Hadron Collider (HL-LHC): Technical Design Report V. 0.1 4/2017.doi:10.23731/CYRM-2017-004

  4. [4]

    Chapon, et al., Prospects for quarkonium studies at the high-luminosity LHC, Prog

    E. Chapon, et al., Prospects for quarkonium studies at the high-luminosity LHC, Prog. Part. Nucl. Phys. 122 (2022) 103906.arXiv: 2012.14161,doi:10.1016/j.ppnp.2021.103906

  5. [5]

    R.AbdulKhalek,etal.,ScienceRequirementsandDetectorConceptsfortheElectron-IonCollider:EICYellowReport,Nucl.Phys.A1026 (2022) 122447.arXiv:2103.05419,doi:10.1016/j.nuclphysa.2022.122447

  6. [6]

    Abdul Khalek et al

    R. Abdul Khalek, et al., Snowmass 2021 White Paper: Electron Ion Collider for High Energy Physics, in: 2022 Snowmass Summer Study, 2022.arXiv:2203.13199

  7. [7]

    Hentschinski, et al., White Paper on Forward Physics, BFKL, Saturation Physics and Diffraction, Acta Phys

    M. Hentschinski, et al., White Paper on Forward Physics, BFKL, Saturation Physics and Diffraction, Acta Phys. Polon. B 54 (3) (2023) 2. arXiv:2203.08129,doi:10.5506/APhysPolB.54.3-A2

  8. [8]

    Snowmass 2021 Whitepaper: Proton Structure at the Precision Frontier

    S. Amoroso, et al., Snowmass 2021 whitepaper: Proton structure at the precision frontier, Acta Phys. Polon. B 53 (12) (2022) A1. arXiv:2203.13923,doi:10.5506/APhysPolB.53.12-A1

Show all 299 references
  1. [9]

    Abir, et al., The case for an EIC Theory Alliance: Theoretical Challenges of the EICarXiv:2305.14572

    R. Abir, et al., The case for an EIC Theory Alliance: Theoretical Challenges of the EICarXiv:2305.14572

  2. [10]

    Allaire, et al., Artificial Intelligence for the Electron Ion Collider (AI4EIC), Comput

    C. Allaire, et al., Artificial Intelligence for the Electron Ion Collider (AI4EIC), Comput. Softw. Big Sci. 8 (2024) 5.arXiv:2307.08593, doi:10.1007/s41781-024-00113-4

  3. [11]

    Abada, et al., FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1, Eur

    A. Abada, et al., FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1, Eur. Phys. J. C 79 (6) (2019) 474.doi:10.1140/epjc/s10052-019-6904-3

  4. [12]

    A.Abada,etal.,FCC-ee:TheLeptonCollider:FutureCircularColliderConceptualDesignReportVolume2,Eur.Phys.J.ST228(2)(2019) 261–623.doi:10.1140/epjst/e2019-900045-4

  5. [13]

    A.Abada,etal.,FCC-hh:TheHadronCollider:FutureCircularColliderConceptualDesignReportVolume3,Eur.Phys.J.ST228(4)(2019) 755–1107.doi:10.1140/epjst/e2019-900087-0

  6. [14]

    Abada, et al., HE-LHC: The High-Energy Large Hadron Collider: Future Circular Collider Conceptual Design Report Volume 4, Eur

    A. Abada, et al., HE-LHC: The High-Energy Large Hadron Collider: Future Circular Collider Conceptual Design Report Volume 4, Eur. Phys. J. ST 228 (5) (2019) 1109–1382.doi:10.1140/epjst/e2019-900088-6

  7. [15]

    Benedikt, et al., Future Circular Collider Feasibility Study Report: Volume 1, Physics, Experiments, Detectors, Eur

    M. Benedikt, et al., Future Circular Collider Feasibility Study Report: Volume 1, Physics, Experiments, Detectors, Eur. Phys. J. C 85 (12) (2025) 1468.arXiv:2505.00272,doi:10.1140/epjc/s10052-025-15077-x. Page 25 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  8. [16]

    M.Benedikt,etal.,FutureCircularColliderFeasibilityStudyReport:Volume2,Accelerators,TechnicalInfrastructureandSafety,Eur.Phys. J. ST 234 (19) (2025) 5713–6197.arXiv:2505.00274,doi:10.1140/epjs/s11734-025-01967-4

  9. [17]

    Benedikt, et al., Future Circular Collider Feasibility Study Report: Volume 3, Civil Engineering, Implementation and Sustainability, Eur

    M. Benedikt, et al., Future Circular Collider Feasibility Study Report: Volume 3, Civil Engineering, Implementation and Sustainability, Eur. Phys. J. ST 234 (17) (2025) 5113–5383, [Erratum: Eur.Phys.J.ST None, (2025)].arXiv:2505.00273,doi:10.1140/epjs/ s11734-025-01958-5

  10. [18]

    Gell-Mann, Symmetries of baryons and mesons, Phys

    M. Gell-Mann, Symmetries of baryons and mesons, Phys. Rev. 125 (1962) 1067–1084.doi:10.1103/PhysRev.125.1067

  11. [19]

    Gell-Mann, A Schematic Model of Baryons and Mesons, Phys

    M. Gell-Mann, A Schematic Model of Baryons and Mesons, Phys. Lett. 8 (1964) 214–215.doi:10.1016/S0031-9163(64)92001-3

  12. [20]

    Zweig, An SU(3) model for strong interaction symmetry and its breaking

    G. Zweig, An SU(3) model for strong interaction symmetry and its breaking. Version 2, 1964, pp. 22–101

  13. [21]

    Fritzsch, M

    H. Fritzsch, M. Gell-Mann, H. Leutwyler, Advantages of the Color Octet Gluon Picture, Phys. Lett. B 47 (1973) 365–368.doi: 10.1016/0370-2693(73)90625-4

  14. [22]

    R. D. Peccei, H. R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440–1443.doi:10.1103/ PhysRevLett.38.1440

  15. [23]

    R. D. Peccei, H. R. Quinn, Constraints Imposed by CP Conservation in the Presence of Instantons, Phys. Rev. D 16 (1977) 1791–1797. doi:10.1103/PhysRevD.16.1791

  16. [24]

    R. D. Peccei, The Strong CP problem and axions, Lect. Notes Phys. 741 (2008) 3–17.arXiv:hep-ph/0607268,doi:10.1007/ 978-3-540-73518-2_1

  17. [25]

    L. D. Duffy, K. van Bibber, Axions as Dark Matter Particles, New J. Phys. 11 (2009) 105008.arXiv:0904.3346,doi:10.1088/ 1367-2630/11/10/105008

  18. [26]

    Forestell, D

    L. Forestell, D. E. Morrissey, K. Sigurdson, Cosmological Bounds on Non-Abelian Dark Forces, Phys. Rev. D 97 (7) (2018) 075029. arXiv:1710.06447,doi:10.1103/PhysRevD.97.075029

  19. [27]

    Huang, M

    W.-C. Huang, M. Reichert, F. Sannino, Z.-W. Wang, Testing the dark SU(N) Yang-Mills theory confined landscape: From the lattice to gravitational waves, Phys. Rev. D 104 (3) (2021) 035005.arXiv:2012.11614,doi:10.1103/PhysRevD.104.035005

  20. [28]

    McLerran, R

    L. McLerran, R. D. Pisarski, Phases of cold, dense quarks at large N(c), Nucl. Phys. A 796 (2007) 83–100.arXiv:0706.2191, doi:10.1016/j.nuclphysa.2007.08.013

  21. [29]

    Y.Hidaka,L.D.McLerran,R.D.Pisarski,Baryonsandthephasediagramforalargenumberofcolorsandflavors,Nucl.Phys.A808(2008) 117–123.arXiv:0803.0279,doi:10.1016/j.nuclphysa.2008.05.009

  22. [30]

    McLerran, S

    L. McLerran, S. Reddy, Quarkyonic Matter and Neutron Stars, Phys. Rev. Lett. 122 (12) (2019) 122701.arXiv:1811.12503,doi: 10.1103/PhysRevLett.122.122701

  23. [31]

    Buchmuller, D

    W. Buchmuller, D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation, Nucl. Phys. B 268 (1986) 621–653. doi:10.1016/0550-3213(86)90262-2

  24. [32]

    Witten, Baryons in the 1/n Expansion, Nucl

    E. Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57–115.doi:10.1016/0550-3213(79)90232-3

  25. [33]

    J. J. Dudek, R. G. Edwards, M. J. Peardon, D. G. Richards, C. E. Thomas, Toward the excited meson spectrum of dynamical QCD, Phys. Rev. D 82 (2010) 034508.arXiv:1004.4930,doi:10.1103/PhysRevD.82.034508

  26. [34]

    S. S. Afonin, The effect of higher dimensional QCD operators on the spectroscopy of bottom-up holographic models, Universe 7 (4) (2021) 102.arXiv:1905.13086,doi:10.3390/universe7040102

  27. [35]

    J. E. Augustin, et al., Discovery of a Narrow Resonance in𝑒+𝑒− Annihilation, Phys. Rev. Lett. 33 (1974) 1406–1408.doi:10.1103/ PhysRevLett.33.1406

  28. [37]

    Bacci, et al., Preliminary Result of Frascati (ADONE) on the Nature of a New 3.1-GeV Particle Produced in e+ e- Annihilation, Phys

    C. Bacci, et al., Preliminary Result of Frascati (ADONE) on the Nature of a New 3.1-GeV Particle Produced in e+ e- Annihilation, Phys. Rev. Lett. 33 (1974) 1408, [Erratum: Phys.Rev.Lett. 33, 1649 (1974)].doi:10.1103/PhysRevLett.33.1408

  29. [38]

    Close, Glueballs and exotic matter, Nature 349 (1991) 368–369.doi:10.1038/349368a0

    F. Close, Glueballs and exotic matter, Nature 349 (1991) 368–369.doi:10.1038/349368a0

  30. [39]

    F. E. Close, Glueballs and hybrids: New states of matter, Contemp. Phys. 38 (1997) 1–12.doi:10.1080/001075197182522

  31. [40]

    F. E. Close, Glueballs and the pomeron: A central mystery, in: 33rd Rencontres de Moriond: QCD and High-Energy Hadronic Interactions, 1998, pp. 589–602

  32. [41]

    Minkowski, W

    P. Minkowski, W. Ochs, Identification of the glueballs and the scalar meson nonet of lowest mass, Eur. Phys. J. C 9 (1999) 283–312. arXiv:hep-ph/9811518,doi:10.1007/s100520050533

  33. [42]

    F. E. Close, Glueballs: A Central mystery, Acta Phys. Polon. B 31 (2000) 2557–2565.arXiv:hep-ph/0006288

  34. [43]

    Mathieu, N

    V. Mathieu, N. Kochelev, V. Vento, The Physics of Glueballs, Int. J. Mod. Phys. E 18 (2009) 1–49.arXiv:0810.4453,doi:10.1142/ S0218301309012124

  35. [44]

    Y. K. Hsiao, C. Q. Geng, Identifying Glueball at 3.02 GeV in Baryonic𝐵Decays, Phys. Lett. B 727 (2013) 168–171.arXiv:1302.3331, doi:10.1016/j.physletb.2013.10.008

  36. [45]

    V. M. Abazov, et al., Odderon Exchange from Elastic Scattering Differences between𝑝𝑝and𝑝 ̄ 𝑝Data at 1.96 TeV and from pp Forward Scattering Measurements, Phys. Rev. Lett. 127 (6) (2021) 062003.arXiv:2012.03981,doi:10.1103/PhysRevLett.127.062003

  37. [46]

    Csörgő, T

    T. Csörgő, T. Novak, R. Pasechnik, A. Ster, I. Szanyi, Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies, Eur. Phys. J. C 81 (2) (2021) 180.arXiv:1912.11968,doi:10.1140/epjc/s10052-021-08867-6

  38. [47]

    R. L. Jaffe, Multi-Quark Hadrons. 1. The Phenomenology of (2 Quark 2 anti-Quark) Mesons, Phys. Rev. D 15 (1977) 267.doi: 10.1103/PhysRevD.15.267

  39. [48]

    R. L. Jaffe, Multi-Quark Hadrons. 2. Methods, Phys. Rev. D 15 (1977) 281.doi:10.1103/PhysRevD.15.281

  40. [49]

    J. P. Ader, J. M. Richard, P. Taxil, DO NARROW HEAVY MULTI - QUARK STATES EXIST?, Phys. Rev. D 25 (1982) 2370.doi: 10.1103/PhysRevD.25.2370

  41. [50]

    S. K. Choi, et al., Observation of a narrow charmonium-like state in exclusive𝐵± →𝐾 ±𝜋+𝜋−𝐽∕𝜓decays, Phys. Rev. Lett. 91 (2003) 262001.arXiv:hep-ex/0309032,doi:10.1103/PhysRevLett.91.262001. Page 26 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  42. [51]

    Aaij, et al., A model-independent study of resonant structure in𝐵+ →𝐷 +𝐷−𝐾 + decays, Phys

    R. Aaij, et al., A model-independent study of resonant structure in𝐵+ →𝐷 +𝐷−𝐾 + decays, Phys. Rev. Lett. 125 (2020) 242001. arXiv:2009.00025,doi:10.1103/PhysRevLett.125.242001

  43. [52]

    N. A. Tornqvist, From the deuteron to deusons, an analysis of deuteron - like meson meson bound states, Z. Phys. C 61 (1994) 525–537. arXiv:hep-ph/9310247,doi:10.1007/BF01413192

  44. [53]

    Braaten, M

    E. Braaten, M. Kusunoki, Low-energy universality and the new charmonium resonance at 3870-MeV, Phys. Rev. D 69 (2004) 074005. arXiv:hep-ph/0311147,doi:10.1103/PhysRevD.69.074005

  45. [54]

    E.Braaten,H.-W.Hammer,T.Mehen,ScatteringofanUltrasoftPionandtheX(3872),Phys.Rev.D82(2010)034018.arXiv:1005.1688, doi:10.1103/PhysRevD.82.034018

  46. [55]

    E.Braaten,L.-P.He,K.Ingles,J.Jiang,Charm-mesontrianglesingularityin𝑒 +𝑒− annihilationinto𝐷 ∗0 ̄𝐷0 +𝛾,Phys.Rev.D101(9)(2020) 096020.arXiv:2004.12841,doi:10.1103/PhysRevD.101.096020

  47. [56]

    F.-K. Guo, C. Hidalgo-Duque, J. Nieves, M. P. Valderrama, Consequences of Heavy Quark Symmetries for Hadronic Molecules, Phys. Rev. D 88 (2013) 054007.arXiv:1303.6608,doi:10.1103/PhysRevD.88.054007

  48. [57]

    F.-K. Guo, C. Hidalgo-Duque, J. Nieves, M. P. Valderrama, Heavy-antiquark–diquark symmetry and heavy hadron molecules: Are there triply heavy pentaquarks?, Phys. Rev. D 88 (5) (2013) 054014.arXiv:1305.4052,doi:10.1103/PhysRevD.88.054014

  49. [58]

    Cleven, F.-K

    M. Cleven, F.-K. Guo, C. Hanhart, Q. Wang, Q. Zhao, Employing spin symmetry to disentangle different models for the XYZ states, Phys. Rev. D 92 (1) (2015) 014005.arXiv:1505.01771,doi:10.1103/PhysRevD.92.014005

  50. [59]

    Fleming, R

    S. Fleming, R. Hodges, T. Mehen,𝑇 + 𝑐𝑐 decays: Differential spectra and two-body final states, Phys. Rev. D 104 (11) (2021) 116010. arXiv:2109.02188,doi:10.1103/PhysRevD.104.116010

  51. [60]

    L. Dai, S. Fleming, R. Hodges, T. Mehen, Strong decays of Tcc+ at NLO in an effective field theory, Phys. Rev. D 107 (7) (2023) 076001. arXiv:2301.11950,doi:10.1103/PhysRevD.107.076001

  52. [61]

    Fleming, M

    S. Fleming, M. Kusunoki, T. Mehen, U. van Kolck, Pion interactions in the𝑋(3872), Phys. Rev. D 76 (2007) 034006.arXiv:hep-ph/ 0703168,doi:10.1103/PhysRevD.76.034006

  53. [62]

    Fleming, T

    S. Fleming, T. Mehen, Hadronic Decays of the X(3872) to chi(cJ) in Effective Field Theory, Phys. Rev. D 78 (2008) 094019.arXiv: 0807.2674,doi:10.1103/PhysRevD.78.094019

  54. [63]

    Fleming, T

    S. Fleming, T. Mehen, The decay of the𝑋(3872)into𝜒𝑐𝐽 and the Operator Product Expansion in XEFT, Phys. Rev. D 85 (2012) 014016. arXiv:1110.0265,doi:10.1103/PhysRevD.85.014016

  55. [64]

    arXiv:1503.02719,doi:10.1103/PhysRevD.92.034019

    T.Mehen,Hadronicloopsversusfactorizationineffectivefieldtheorycalculationsof𝑋(3872)→𝜒 𝑐𝐽 𝜋0,Phys.Rev.D92(3)(2015)034019. arXiv:1503.02719,doi:10.1103/PhysRevD.92.034019

  56. [65]

    Mutuk, Molecular interpretation of X(3960) as𝐷 + 𝑠 𝐷− 𝑠 state, Eur

    H. Mutuk, Molecular interpretation of X(3960) as𝐷 + 𝑠 𝐷− 𝑠 state, Eur. Phys. J. C 82 (12) (2022) 1142.arXiv:2211.14836,doi: 10.1140/epjc/s10052-022-11120-3

  57. [66]

    Z.-G.Wang,AnalysisoftheHidden-charmTetraquarkmoleculemassspectrumwiththeQCDsumrules,Int.J.Mod.Phys.A36(15)(2021) 2150107.arXiv:2012.11869,doi:10.1142/S0217751X21501074

  58. [67]

    Z.-G.Wang,T.Huang,Possibleassignmentsofthe𝑋(3872),𝑍 𝑐 (3900)and𝑍 𝑏(10610)asaxial-vectormolecularstates,Eur.Phys.J.C74(5) (2014) 2891.arXiv:1312.7489,doi:10.1140/epjc/s10052-014-2891-6

  59. [68]

    arXiv:2108.12597,doi:10.1140/epja/s10050-022-00752-4

    Q.Xin,Z.-G.Wang,Analysisofthedoubly-charmedtetraquarkmolecularstateswiththeQCDsumrules,Eur.Phys.J.A58(6)(2022)110. arXiv:2108.12597,doi:10.1140/epja/s10050-022-00752-4

  60. [69]

    Wang, Landau equation and QCD sum rules for the tetraquark molecular states, Phys

    Z.-G. Wang, Landau equation and QCD sum rules for the tetraquark molecular states, Phys. Rev. D 101 (7) (2020) 074011.arXiv: 2001.04095,doi:10.1103/PhysRevD.101.074011

  61. [70]

    Wang, Reanalysis of the𝑌(3940),𝑌(4140),𝑍 𝑐 (4020),𝑍 𝑐 (4025)and𝑍 𝑏(10650)as molecular states with QCD sum rules, Eur

    Z.-G. Wang, Reanalysis of the𝑌(3940),𝑌(4140),𝑍 𝑐 (4020),𝑍 𝑐 (4025)and𝑍 𝑏(10650)as molecular states with QCD sum rules, Eur. Phys. J. C 74 (7) (2014) 2963.arXiv:1403.0810,doi:10.1140/epjc/s10052-014-2963-7

  62. [71]

    Maiani, F

    L. Maiani, F. Piccinini, A. D. Polosa, V. Riquer, Diquark-antidiquarks with hidden or open charm and the nature of X(3872), Phys. Rev. D 71 (2005) 014028.arXiv:hep-ph/0412098,doi:10.1103/PhysRevD.71.014028

  63. [72]

    G.’tHooft,G.Isidori,L.Maiani,A.D.Polosa,V.Riquer,ATheoryofScalarMesons,Phys.Lett.B662(2008)424–430.arXiv:0801.2288, doi:10.1016/j.physletb.2008.03.036

  64. [73]

    Maiani, V

    L. Maiani, V. Riquer, R. Faccini, F. Piccinini, A. Pilloni, A. D. Polosa, A𝐽𝑃 𝐺 = 1 ++ Charged Resonance in the𝑌(4260)→𝜋 +𝜋−𝐽∕𝜓 Decay?, Phys. Rev. D 87 (11) (2013) 111102.arXiv:1303.6857,doi:10.1103/PhysRevD.87.111102

  65. [74]

    Maiani, F

    L. Maiani, F. Piccinini, A. D. Polosa, V. Riquer, The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks, Phys. Rev. D 89 (2014) 114010.arXiv:1405.1551,doi:10.1103/PhysRevD.89.114010

  66. [75]

    Maiani, A

    L. Maiani, A. D. Polosa, V. Riquer, A Theory of X and Z Multiquark Resonances, Phys. Lett. B 778 (2018) 247–251.arXiv:1712.05296, doi:10.1016/j.physletb.2018.01.039

  67. [76]

    Mutuk, Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states, Eur

    H. Mutuk, Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states, Eur. Phys. J. C 81 (4) (2021) 367.arXiv: 2104.11823,doi:10.1140/epjc/s10052-021-09176-8

  68. [77]

    Mutuk, The status ofΞ++ cc baryon: investigating quark–diquark model, Eur

    H. Mutuk, The status ofΞ++ cc baryon: investigating quark–diquark model, Eur. Phys. J. Plus 137 (1) (2022) 10.arXiv:2112.06205, doi:10.1140/epjp/s13360-021-02256-4

  69. [78]

    Mutuk, K

    H. Mutuk, K. Azizi, Investigation ofΔ0Δ0 dibaryon in QCD, Phys. Rev. D 105 (9) (2022) 094021.arXiv:2204.03050,doi:10.1103/ PhysRevD.105.094021

  70. [79]

    Mutuk, Spectrum of𝑐𝑐̄𝑏̄𝑏,𝑏𝑐 ̄ 𝑐 ̄ 𝑐, and𝑏𝑐̄𝑏̄𝑏tetraquark states in the dynamical diquark model, Phys

    H. Mutuk, Spectrum of𝑐𝑐̄𝑏̄𝑏,𝑏𝑐 ̄ 𝑐 ̄ 𝑐, and𝑏𝑐̄𝑏̄𝑏tetraquark states in the dynamical diquark model, Phys. Lett. B 834 (2022) 137404.arXiv: 2208.11048,doi:10.1016/j.physletb.2022.137404

  71. [80]

    Wang, Decipher the width of the X(3872) via the QCD sum rules, Phys

    Z.-G. Wang, Decipher the width of the X(3872) via the QCD sum rules, Phys. Rev. D 109 (1) (2024) 014017.arXiv:2310.02030, doi:10.1103/PhysRevD.109.014017

  72. [81]

    Wang, Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules, Phys

    Z.-G. Wang, Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules, Phys. Rev. D 102 (1) (2020) 014018. arXiv:1908.07914,doi:10.1103/PhysRevD.102.014018. Page 27 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  73. [82]

    Z.-G. Wang, T. Huang, Analysis of the𝑋(3872),𝑍𝑐 (3900)and𝑍 𝑐 (3885)as axial-vector tetraquark states with QCD sum rules, Phys. Rev. D 89 (5) (2014) 054019.arXiv:1310.2422,doi:10.1103/PhysRevD.89.054019

  74. [83]

    63 (4) (2015) 466–480.arXiv:1312.1537,doi:10.1088/0253-6102/63/4/466

    Z.-G.Wang,Reanalysisofthe𝑍 𝑐 (4020),𝑍 𝑐 (4025),𝑍(4050)and𝑍(4250)astetraquarkstateswithQCDsumrules,Commun.Theor.Phys. 63 (4) (2015) 466–480.arXiv:1312.1537,doi:10.1088/0253-6102/63/4/466

  75. [84]

    Wang, Analysis of the𝑍𝑐 (4020),𝑍 𝑐 (4025),𝑌(4360)and𝑌(4660)as vector tetraquark states with QCD sum rules, Eur

    Z.-G. Wang, Analysis of the𝑍𝑐 (4020),𝑍 𝑐 (4025),𝑌(4360)and𝑌(4660)as vector tetraquark states with QCD sum rules, Eur. Phys. J. C 74 (5) (2014) 2874.arXiv:1311.1046,doi:10.1140/epjc/s10052-014-2874-7

  76. [85]

    2008.07.086

    S.Dubynskiy,M.B.Voloshin,Hadro-Charmonium,Phys.Lett.B666(2008)344–346.arXiv:0803.2224,doi:10.1016/j.physletb. 2008.07.086

  77. [86]

    Dubynskiy, A

    S. Dubynskiy, A. Gorsky, M. B. Voloshin, Holographic Hadro-Quarkonium, Phys. Lett. B 671 (2009) 82–86.arXiv:0804.2244, doi:10.1016/j.physletb.2008.11.040

  78. [87]

    X.Li,M.B.Voloshin,𝑌(4260)and𝑌(4360)asmixedhadrocharmonium,Mod.Phys.Lett.A29(12)(2014)1450060.arXiv:1309.1681, doi:10.1142/S0217732314500606

  79. [88]

    M.B.Voloshin,𝑍 𝑐 (3900)-whatisinside?,Phys.Rev.D87(9)(2013)091501.arXiv:1304.0380,doi:10.1103/PhysRevD.87.091501

  80. [89]

    94, 029901 (2022)].arXiv:1705.00141,doi:10.1103/RevModPhys.90.015004

    F.-K.Guo,C.Hanhart,U.-G.Meißner,Q.Wang,Q.Zhao,B.-S.Zou,Hadronicmolecules,Rev.Mod.Phys.90(1)(2018)015004,[Erratum: Rev.Mod.Phys. 94, 029901 (2022)].arXiv:1705.00141,doi:10.1103/RevModPhys.90.015004

  81. [90]

    Ferretti, E

    J. Ferretti, E. Santopinto, M. Naeem Anwar, M. A. Bedolla, The baryo-quarkonium picture for hidden-charm and bottom pentaquarks and LHCb𝑃 c(4380)and𝑃 c(4450)states,Phys.Lett.B789(2019)562–567.arXiv:1807.01207,doi:10.1016/j.physletb.2018.09.047

  82. [91]

    Ferretti, E

    J. Ferretti, E. Santopinto, Threshold corrections of𝜒𝑐 (2 P ) and𝜒𝑏 (3 P ) states and J /𝜓𝜌and J /𝜓𝜔transitions of the𝜒(3872) in a coupled-channel model, Phys. Lett. B 789 (2019) 550–555.arXiv:1806.02489,doi:10.1016/j.physletb.2018.12.052

  83. [92]

    J.Ferretti,E.Santopinto,Hidden-charmandbottomtetra-andpentaquarkswithstrangenessinthehadro-quarkoniumandcompacttetraquark models, JHEP 04 (2020) 119.arXiv:2001.01067,doi:10.1007/JHEP04(2020)119

  84. [93]

    Hayrapetyan, et al., New Structures in the J/𝜓J/𝜓Mass Spectrum in Proton-Proton Collisions at s=13 TeV, Phys

    A. Hayrapetyan, et al., New Structures in the J/𝜓J/𝜓Mass Spectrum in Proton-Proton Collisions at s=13 TeV, Phys. Rev. Lett. 132 (11) (2024) 111901.arXiv:2306.07164,doi:10.1103/PhysRevLett.132.111901

  85. [94]

    A.Hayrapetyan,etal.,Determinationofthespinandparityofall-charmtetraquarks,Nature648(8092)(2025)58–63.arXiv:2506.07944, doi:10.1038/s41586-025-09711-7

  86. [95]

    Ablikim, et al., Observation of a Charged Charmoniumlike Structure in𝑒+𝑒− →𝜋 +𝜋−𝐽∕𝜓at √ 𝑠=4.26 GeV, Phys

    M. Ablikim, et al., Observation of a Charged Charmoniumlike Structure in𝑒+𝑒− →𝜋 +𝜋−𝐽∕𝜓at √ 𝑠=4.26 GeV, Phys. Rev. Lett. 110 (2013) 252001.arXiv:1303.5949,doi:10.1103/PhysRevLett.110.252001

  87. [96]

    111, 019901 (2013)].arXiv:1304.0121,doi:10.1103/PhysRevLett.110.252002

    Z.Q.Liu,etal.,Studyof𝑒 +𝑒−π𝜋+𝜋−𝐽∕𝜓andObservationofaChargedCharmoniumlikeStateatBelle,Phys.Rev.Lett.110(2013)252002, [Erratum: Phys.Rev.Lett. 111, 019901 (2013)].arXiv:1304.0121,doi:10.1103/PhysRevLett.110.252002

  88. [97]

    Nakano, et al., Evidence for a narrow S = +1 baryon resonance in photoproduction from the neutron, Phys

    T. Nakano, et al., Evidence for a narrow S = +1 baryon resonance in photoproduction from the neutron, Phys. Rev. Lett. 91 (2003) 012002. arXiv:hep-ex/0301020,doi:10.1103/PhysRevLett.91.012002

  89. [98]

    V. V. Barmin, et al., Observation of a baryon resonance with positive strangeness in K+ collisions with Xe nuclei, Phys. Atom. Nucl. 66 (2003) 1715–1718.arXiv:hep-ex/0304040,doi:10.1134/1.1611587

  90. [99]

    Diakonov, V

    D. Diakonov, V. Petrov, M. V. Polyakov, Exotic anti-decuplet of baryons: Prediction from chiral solitons, Z. Phys. A 359 (1997) 305–314. arXiv:hep-ph/9703373,doi:10.1007/s002180050406

  91. [100]

    Battaglieri, et al., Search for Theta+(1540) pentaquark in high statistics measurement of gamma p —>anti-K0 K+ n at CLAS, Phys

    M. Battaglieri, et al., Search for Theta+(1540) pentaquark in high statistics measurement of gamma p —>anti-K0 K+ n at CLAS, Phys. Rev. Lett. 96 (2006) 042001.arXiv:hep-ex/0510061,doi:10.1103/PhysRevLett.96.042001

  92. [101]

    K. H. Hicks, Experimental search for pentaquarks, Prog. Part. Nucl. Phys. 55 (2005) 647–676.doi:10.1016/j.ppnp.2004.07.001

  93. [102]

    Amsler, et al., Review of Particle Physics, Phys

    C. Amsler, et al., Review of Particle Physics, Phys. Lett. B 667 (2008) 1–1340.doi:10.1016/j.physletb.2008.07.018

  94. [103]

    Praszalowicz, Odyssey of the elusiveΘ+arXiv:2411.08429

    M. Praszalowicz, Odyssey of the elusiveΘ+arXiv:2411.08429

  95. [104]

    Aaij, et al., Observation of𝐽∕𝜓𝑝Resonances Consistent with Pentaquark States inΛ0 𝑏 →𝐽∕𝜓𝐾 −𝑝Decays, Phys

    R. Aaij, et al., Observation of𝐽∕𝜓𝑝Resonances Consistent with Pentaquark States inΛ0 𝑏 →𝐽∕𝜓𝐾 −𝑝Decays, Phys. Rev. Lett. 115 (2015) 072001.doi:10.1103/PhysRevLett.115.072001

  96. [105]

    R.Aaij,etal.,Observationofanarrowpentaquarkstate,𝑃 𝑐 (4312)+,andoftwo-peakstructureofthe𝑃 𝑐 (4450)+,Phys.Rev.Lett.122(2019) 222001.doi:10.1103/PhysRevLett.122.222001

  97. [106]

    Aaij, et al., Evidence of a𝐽∕𝜓Λstructure and observation of excitedΞ− states in theΞ− 𝑏 →𝐽∕𝜓Λ𝐾 − decay, Sci

    R. Aaij, et al., Evidence of a𝐽∕𝜓Λstructure and observation of excitedΞ− states in theΞ− 𝑏 →𝐽∕𝜓Λ𝐾 − decay, Sci. Bull. 66 (2021) 1278–1287.arXiv:2012.10380,doi:10.1016/j.scib.2021.02.030

  98. [107]

    Aaij, et al., Observation of a𝐽∕𝜓ΛResonance Consistent with a Strange Pentaquark Candidate in𝐵−𝐽∕𝜓Λ̄ 𝑝Decays, Phys

    R. Aaij, et al., Observation of a𝐽∕𝜓ΛResonance Consistent with a Strange Pentaquark Candidate in𝐵−𝐽∕𝜓Λ̄ 𝑝Decays, Phys. Rev. Lett. 131 (3) (2023) 031901.arXiv:2210.10346,doi:10.1103/PhysRevLett.131.031901

  99. [108]

    Aaij, et al., Evidence for exotic hadron contributions toΛ0 𝑏 →𝐽∕𝜓𝑝𝜋 − decays, Phys

    R. Aaij, et al., Evidence for exotic hadron contributions toΛ0 𝑏 →𝐽∕𝜓𝑝𝜋 − decays, Phys. Rev. Lett. 117 (8) (2016) 082003, [Addendum: Phys.Rev.Lett.117,109902(2016),Addendum:Phys.Rev.Lett.118,119901(2017)].arXiv:1606.06999,doi:10.1103/PhysRevLett. 117.082003

  100. [109]

    arXiv:2108.04720,doi:10.1103/PhysRevLett.128.062001

    R.Aaij,etal.,Evidenceforanewstructureinthe𝐽∕𝜓𝑝and𝐽∕𝜓 ̄ 𝑝systemsin𝐵 0 𝑠 →𝐽∕𝜓𝑝 ̄ 𝑝decays,Phys.Rev.Lett.128(6)(2022)062001. arXiv:2108.04720,doi:10.1103/PhysRevLett.128.062001

  101. [110]

    Maciuła, W

    R. Maciuła, W. Schäfer, A. Szczurek, On the mechanism of𝑇4𝑐(6900) tetraquark production, Phys. Lett. B 812 (2021) 136010.arXiv: 2009.02100,doi:10.1016/j.physletb.2020.136010

  102. [111]

    Karliner, S

    M. Karliner, S. Nussinov, J. L. Rosner,𝑄𝑄̄𝑄 ̄𝑄states: masses, production, and decays, Phys. Rev. D 95 (3) (2017) 034011.arXiv: 1611.00348,doi:10.1103/PhysRevD.95.034011

  103. [112]

    Becchi, A

    C. Becchi, A. Giachino, L. Maiani, E. Santopinto, Search for𝑏𝑏̄𝑏̄𝑏tetraquark decays in 4 muons,𝐵+𝐵−,𝐵 0 ̄𝐵0 and𝐵 0 𝑠 ̄𝐵0 𝑠 channels at LHC, Phys. Lett. B 806 (2020) 135495.arXiv:2002.11077,doi:10.1016/j.physletb.2020.135495

  104. [113]

    A.Francis,R.J.Hudspith,R.Lewis,K.Maltman,Evidenceforcharm-bottomtetraquarksandthemassdependenceofheavy-lighttetraquark states from lattice QCD (2019).arXiv:1810.10550,doi:10.1103/PhysRevD.99.054505

  105. [114]

    Leskovec, S

    L. Leskovec, S. Meinel, M. Pflaumer, M. Wagner, Lattice QCD investigation of a doubly-bottom̄𝑏̄𝑏𝑢𝑑tetraquark with quantum numbers 𝐼(𝐽 𝑃 ) = 0(1 +), Phys. Rev. D 100 (1) (2019) 014503.arXiv:1904.04197,doi:10.1103/PhysRevD.100.014503. Page 28 of 44 Fully Heavy Pentaquarks withJe...

  106. [115]

    Liu, Y.-W

    M.-Z. Liu, Y.-W. Pan, F.-Z. Peng, M. Sánchez Sánchez, L.-S. Geng, A. Hosaka, M. Pavon Valderrama, Emergence of a complete heavy- quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis, Phys. Rev. Lett. 122 (24) (2019) 242001. arXiv:1903...

  107. [116]

    Bicudo, Tetraquarks and pentaquarks in lattice QCD with light and heavy quarks, Phys

    P. Bicudo, Tetraquarks and pentaquarks in lattice QCD with light and heavy quarks, Phys. Rept. 1039 (2023) 1–49.arXiv:2212.07793, doi:10.1016/j.physrep.2023.10.001

  108. [117]

    C.Alexandrou,J.Finkenrath,T.Leontiou,S.Meinel,M.Pflaumer,M.Wagner, ̄𝑏̄𝑏𝑢𝑑and ̄𝑏̄𝑏𝑢𝑠tetraquarksfromlatticeQCDusingsymmetric correlation matrices with both local and scattering interpolating operators, Phys. Rev. D 110 (5) (2024) 054510.arXiv:2404.03588, doi:10.1103/PhysRevD.110.054510

  109. [118]

    Prelovsek, Spectroscopy of hadrons with heavy quarks from lattice QCD, Nuovo Cim

    S. Prelovsek, Spectroscopy of hadrons with heavy quarks from lattice QCD, Nuovo Cim. C 47 (4) (2024) 147.arXiv:2310.07341, doi:10.1393/ncc/i2024-24147-3

  110. [119]

    C. W. Xiao, J. Nieves, E. Oset, Heavy quark spin symmetric molecular states from̄𝐷(∗)Σ(∗) 𝑐 and other coupled channels in the light of the recent LHCb pentaquarks, Phys. Rev. D 100 (1) (2019) 014021.arXiv:1904.01296,doi:10.1103/PhysRevD.100.014021

  111. [120]

    A.Ali,J.S.Lange,S.Stone,Exotics:HeavyPentaquarksandTetraquarks,Prog.Part.Nucl.Phys.97(2017)123–198.arXiv:1706.00610, doi:10.1016/j.ppnp.2017.08.003

  112. [121]

    Yamaguchi, A

    Y. Yamaguchi, A. Giachino, A. Hosaka, E. Santopinto, S. Takeuchi, M. Takizawa, Hidden-charm and bottom meson-baryon molecules coupled with five-quark states, Phys. Rev. D 96 (11) (2017) 114031.arXiv:1709.00819,doi:10.1103/PhysRevD.96.114031

  113. [122]

    Pineda, Review of Heavy Quarkonium at weak coupling, Prog

    A. Pineda, Review of Heavy Quarkonium at weak coupling, Prog. Part. Nucl. Phys. 67 (2012) 735–785.arXiv:1111.0165,doi: 10.1016/j.ppnp.2012.01.038

  114. [123]

    S.Chatrchyan,etal.,Measurementofthe𝑋(3872)ProductionCrossSectionViaDecaysto𝐽∕𝜓𝜋 +𝜋− in𝑝𝑝collisionsat √ 𝑠=7TeV,JHEP 04 (2013) 154.arXiv:1302.3968,doi:10.1007/JHEP04(2013)154

  115. [124]

    M.Aaboud,etal.,Measurementsof𝜓(2𝑆)and𝑋(3872)→𝐽∕𝜓𝜋 +𝜋− productionin𝑝𝑝collisionsat √ 𝑠= 8TeVwiththeATLASdetector, JHEP 01 (2017) 117.arXiv:1610.09303,doi:10.1007/JHEP01(2017)117

  116. [125]

    Aaij, et al., Measurement of𝜒𝑐1(3872) production in proton-proton collisions at √ 𝑠= 8 and 13 TeV, JHEP 01 (2022) 131.arXiv: 2109.07360,doi:10.1007/JHEP01(2022)131

    R. Aaij, et al., Measurement of𝜒𝑐1(3872) production in proton-proton collisions at √ 𝑠= 8 and 13 TeV, JHEP 01 (2022) 131.arXiv: 2109.07360,doi:10.1007/JHEP01(2022)131

  117. [126]

    arXiv:2412.10549,doi:10.1103/PhysRevD.111.034037

    F.G.Celiberto,G.Gatto,Bottomoniumlikestatesinprotoncollisions:Fragmentationandresummation,Phys.Rev.D111(3)(2025)034037. arXiv:2412.10549,doi:10.1103/PhysRevD.111.034037

  118. [127]

    F. G. Celiberto, G. Gatto, TQHL1.1: TetraQuarks with Heavy and Light flavor collinear VFNS FFs, 2024. URLhttps://github.com/FGCeliberto/Collinear_FFs/

  119. [128]

    F. G. Celiberto, TQ4Q1.1: TetraQuarks with 4 heavy Quarks VFNS FFs, 2024. URLhttps://github.com/FGCeliberto/Collinear_FFs/

  120. [129]

    Suzuki, Fragmentation of Hadrons from Heavy Quark Partons, Phys

    M. Suzuki, Fragmentation of Hadrons from Heavy Quark Partons, Phys. Lett. B 71 (1977) 139–141.doi:10.1016/0370-2693(77) 90761-4

  121. [130]

    arXiv:2110.15251,doi:10.1103/PhysRevD.105.034001

    S.M.MoosaviNejad,N.Amiri,Groundstateheavytetraquarkproductioninheavyquarkfragmentation,Phys.Rev.D105(3)(2022)034001. arXiv:2110.15251,doi:10.1103/PhysRevD.105.034001

  122. [131]

    D 106 (11) (2022) 114029.arXiv:2009.08450,doi:10.1103/PhysRevD.106.114029

    F.Feng,Y.Huang,Y.Jia,W.-L.Sang,X.Xiong,J.-Y.Zhang,Fragmentationproductionoffully-charmedtetraquarksattheLHC,Phys.Rev. D 106 (11) (2022) 114029.arXiv:2009.08450,doi:10.1103/PhysRevD.106.114029

  123. [132]

    X.-W. Bai, F. Feng, C.-M. Gan, Y. Huang, W.-L. Sang, H.-F. Zhang, Producing fully-charmed tetraquarks via charm quark fragmentation in colliders, JHEP 09 (2024) 002.arXiv:2404.13889,doi:10.1007/JHEP09(2024)002

  124. [133]

    F. G. Celiberto, Towards Quarkonium Fragmentation from NRQCD in a Variable-Flavor Number Scheme, in: 58th Rencontres de Moriond on QCD and High Energy Interactions, 2024.arXiv:2405.08221

  125. [134]

    F. G. Celiberto, Quarkonium fragmentation in a variable-flavor number scheme: Towards NRFF1.0, PoS DIS2024 (2025) 168.arXiv: 2406.10779,doi:10.22323/1.469.0168

  126. [135]

    F. G. Celiberto, On the Quarkonium-in-jet Collinear Fragmentation at Moderate-to-large Transverse Momentum, Acta Phys. Polon. Supp. 18 (1) (2025) 1–A22.arXiv:2412.05661,doi:10.5506/APhysPolBSupp.18.1-A22

  127. [136]

    F. G. Celiberto, F. Lonigro, Heavy-Flavor Fragmentation and Jet Structure from HF-NRevo: Bridging to Heavy-Ion Collisions, PoS EPS- HEP2025 (2026) 191.arXiv:2510.22449,doi:10.22323/1.485.0191

  128. [137]

    Ma, Z.-K

    H.-H. Ma, Z.-K. Tao, J.-J. Niu, Application of fragmentation function to the indirect production of fully charmed tetraquark, Eur. Phys. J. C 85 (4) (2025) 397.arXiv:2502.20891,doi:10.1140/epjc/s10052-025-14128-7

  129. [138]

    H. S. Nakhaei, G. R. Boroun, Analysis of the fragmentation function of gluon at next-to-leading order approximation, Phys. Rev. D 112 (5) (2025) 054039.arXiv:2508.05256,doi:10.1103/x9vl-d6pm

  130. [139]

    F. G. Celiberto, Heavy-flavor multimodal fragmentation to S-wave pentacharms at next-generation hadron colliders, Eur. Phys. J. C 85 (12) (2025) 1395.arXiv:2502.11136,doi:10.1140/epjc/s10052-025-15079-9

  131. [140]

    Sazdjian, The Interplay between Compact and Molecular Structures in Tetraquarks, Symmetry 14 (3) (2022) 515.arXiv:2202.01081, doi:10.3390/sym14030515

    H. Sazdjian, The Interplay between Compact and Molecular Structures in Tetraquarks, Symmetry 14 (3) (2022) 515.arXiv:2202.01081, doi:10.3390/sym14030515

  132. [141]

    F. G. Celiberto, A. Papa, Mueller-Navelet jets at the LHC: Hunting data with azimuthal distributions, Phys. Rev. D 106 (11) (2022) 114004. arXiv:2207.05015,doi:10.1103/PhysRevD.106.114004

  133. [142]

    F.G.Celiberto,G.Gatto,A.Papa,FullycharmedtetraquarksfromLHCtoFCC:naturalstabilityfromfragmentation,Eur.Phys.J.C84(10) (2024) 1071.arXiv:2405.14773,doi:10.1140/epjc/s10052-024-13345-w

  134. [143]

    A.D.Bolognino,F.G.Celiberto,M.Fucilla,D.Yu.Ivanov,A.Papa,Inclusiveproductionofaheavy-lightdijetsysteminhybridhigh-energy and collinear factorization, Phys. Rev. D 103 (9) (2021) 094004.arXiv:2103.07396,doi:10.1103/PhysRevD.103.094004

  135. [144]

    F. G. Celiberto, M. Fucilla, Diffractive semi-hard production of a𝐽∕𝜓or aΥfrom single-parton fragmentation plus a jet in hybrid factorization, Eur. Phys. J. C 82 (10) (2022) 929.arXiv:2202.12227,doi:10.1140/epjc/s10052-022-10818-8. Page 29 of 44 Fully Heavy Pentaquarks withJet...

  136. [145]

    F. G. Celiberto, F. Lonigro, Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO+, Phys. Rev. D 112 (11) (2025) 114040.arXiv:2510.10593,doi:10.1103/rmsq-bq3b

  137. [146]

    W. R. Inc., Mathematica, Version 14.2, champaign, IL, 2024. URLhttps://www.wolfram.com/mathematica

  138. [147]

    F. G. Celiberto, Hunting BFKL in semi-hard reactions at the LHC, Eur. Phys. J. C 81 (8) (2021) 691.arXiv:2008.07378,doi: 10.1140/epjc/s10052-021-09384-2

  139. [148]

    F.G.Celiberto,High-energyemissionsoflightmesonsplusheavyflavorattheLHCandtheForwardPhysicsFacility,Phys.Rev.D105(11) (2022) 114008.arXiv:2204.06497,doi:10.1103/PhysRevD.105.114008

  140. [149]

    F. G. Celiberto, Vector Quarkonia at the LHC with JETHAD: A High-Energy Viewpoint, Universe 9 (7) (2023) 324.arXiv:2305.14295, doi:10.3390/universe9070324

  141. [150]

    F. G. Celiberto, Exotic Tetraquarks at the HL-LHC with JETHAD: A High-Energy Viewpoint, Symmetry 16 (5) (2024) 550.arXiv: 2403.15639,doi:10.3390/sym16050550

  142. [151]

    F. G. Celiberto, Forward & Far-Forward Heavy Hadrons with JETHAD: A High-Energy Viewpoint, Particles 7 (3) (2024) 502–542. arXiv:2405.09526,doi:10.3390/particles7030029

  143. [152]

    F. G. Celiberto, Triply HeavyΩBaryons with with JETHAD: A High-Energy Viewpoint, Symmetry 18 (1) (2026) 29.doi:10.3390/ sym18010029

  144. [153]

    Cacciari, M

    M. Cacciari, M. Greco, S. Rolli, A. Tanzini, Charmed mesons fragmentation functions, Phys. Rev. D 55 (1997) 2736–2740.arXiv: hep-ph/9608213,doi:10.1103/PhysRevD.55.2736

  145. [154]

    Cacciari, M

    M. Cacciari, M. Greco, Large𝑝 𝑇 hadroproduction of heavy quarks, Nucl. Phys. B 421 (1994) 530–544.arXiv:hep-ph/9311260, doi:10.1016/0550-3213(94)90515-0

  146. [155]

    R. L. Jaffe, L. Randall, Heavy quark fragmentation into heavy mesons, Nucl. Phys. B 412 (1994) 79–105.arXiv:hep-ph/9306201, doi:10.1016/0550-3213(94)90495-2

  147. [156]

    B.A.Kniehl,G.Kramer,I.Schienbein,H.Spiesberger,Collinearsubtractionsinhadroproductionofheavyquarks,Eur.Phys.J.C41(2005) 199–212.arXiv:hep-ph/0502194,doi:10.1140/epjc/s2005-02200-7

  148. [157]

    Helenius, H

    I. Helenius, H. Paukkunen, Revisiting the D-meson hadroproduction in general-mass variable flavour number scheme, JHEP 05 (2018) 196. arXiv:1804.03557,doi:10.1007/JHEP05(2018)196

  149. [158]

    Helenius, H

    I. Helenius, H. Paukkunen, B-meson hadroproduction in the SACOT-m𝑇 scheme, JHEP 07 (2023) 054.arXiv:2303.17864,doi: 10.1007/JHEP07(2023)054

  150. [159]

    Generet,𝐵-hadron production at higher orders in QCD, Ph.D

    T. Generet,𝐵-hadron production at higher orders in QCD, Ph.D. thesis, RWTH Aachen University, RWTH Aachen U. (2023)

  151. [160]

    B. Mele, P. Nason, Next-to-leading QCD calculation of the heavy quark fragmentation function, Phys. Lett. B 245 (1990) 635–639. doi:10.1016/0370-2693(90)90704-A

  152. [161]

    B. Mele, P. Nason, The Fragmentation function for heavy quarks in QCD, Nucl. Phys. B 361 (1991) 626–644, [Erratum: Nucl.Phys.B 921, 841–842 (2017)].doi:10.1016/0550-3213(91)90597-Q

  153. [162]

    P. J. Rijken, W. L. van Neerven, O (alpha-s**2) contributions to the longitudinal fragmentation function in e+ e- annihilation, Phys. Lett. B 386 (1996) 422–428.arXiv:hep-ph/9604436,doi:10.1016/0370-2693(96)00898-2

  154. [163]

    Mitov, S.-O

    A. Mitov, S.-O. Moch, QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops, Nucl. Phys. B 751 (2006) 18–52.arXiv:hep-ph/0604160,doi:10.1016/j.nuclphysb.2006.05.018

  155. [164]

    Blumlein, V

    J. Blumlein, V. Ravindran, O (alpha**2(s)) Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space, Nucl. Phys. B 749 (2006) 1–24.arXiv:hep-ph/0604019,doi:10.1016/j.nuclphysb.2006.04.032

  156. [165]

    Melnikov, A

    K. Melnikov, A. Mitov, Perturbative heavy quark fragmentation function through(𝛼2 𝑠 ), Phys. Rev. D 70 (2004) 034027.arXiv: hep-ph/0404143,doi:10.1103/PhysRevD.70.034027

  157. [166]

    Mitov, Perturbative heavy quark fragmentation function through(𝛼2 𝑠 ): Gluon initiated contribution, Phys

    A. Mitov, Perturbative heavy quark fragmentation function through(𝛼2 𝑠 ): Gluon initiated contribution, Phys. Rev. D 71 (2005) 054021. arXiv:hep-ph/0410205,doi:10.1103/PhysRevD.71.054021

  158. [167]

    Biello, L

    C. Biello, L. Bonino, Time-Like heavy-flavour thresholds for fragmentation functions: the light-quark matching condition at NNLO, Eur. Phys. J. C 84 (11) (2024) 1192.arXiv:2407.07623,doi:10.1140/epjc/s10052-024-13532-9

  159. [168]

    Fickinger, S

    M. Fickinger, S. Fleming, C. Kim, E. Mereghetti, Effective field theory approach to heavy quark fragmentation, JHEP 11 (2016) 095. arXiv:1606.07737,doi:10.1007/JHEP11(2016)095

  160. [169]

    Maltoni, G

    F. Maltoni, G. Ridolfi, M. Ubiali, M. Zaro, Resummation effects in the bottom-quark fragmentation function, JHEP 10 (2022) 027. arXiv:2207.10038,doi:10.1007/JHEP10(2022)027

  161. [170]

    M. L. Czakon, T. Generet, A. Mitov, R. Poncelet, B-hadron production in NNLO QCD: application to LHC t𝑡events with leptonic decays, JHEP 10 (2021) 216.arXiv:2102.08267,doi:10.1007/JHEP10(2021)216

  162. [171]

    M.Czakon,T.Generet,A.Mitov,R.Poncelet,NNLOB-fragmentationfitsandtheirapplicationto𝑡 𝑡productionanddecayattheLHC,JHEP 03 (2023) 251.arXiv:2210.06078,doi:10.1007/JHEP03(2023)251

  163. [172]

    U.Aglietti,L.DiGiustino,G.Ferrera,A.Renzaglia,G.Ricciardi,L.Trentadue,ThresholdResummationinB—>X(c)lnu(l)Decays,Phys. Lett. B 653 (2007) 38–52.arXiv:0707.2010,doi:10.1016/j.physletb.2007.07.041

  164. [173]

    U. G. Aglietti, G. Ferrera, Improved factorization for threshold resummation in heavy quark to heavy quark decays, Eur. Phys. J. C 83 (4) (2023) 335.arXiv:2211.14397,doi:10.1140/epjc/s10052-023-11440-y

  165. [174]

    Gaggero, A

    D. Gaggero, A. Ghira, S. Marzani, G. Ridolfi, Soft logarithms in processes with heavy quarks, JHEP 09 (2022) 058.arXiv:2207.13567, doi:10.1007/JHEP09(2022)058

  166. [175]

    Ghira, S

    A. Ghira, S. Marzani, G. Ridolfi, A consistent resummation of mass and soft logarithms in processes with heavy flavours, JHEP 11 (2023) 120.arXiv:2309.06139,doi:10.1007/JHEP11(2023)120

  167. [176]

    Bonino, M

    L. Bonino, M. Cacciari, G. Stagnitto, Heavy quark fragmentation in e+e− collisions to NNLO+NNLL accuracy in perturbative QCD, JHEP 06 (2024) 040.arXiv:2312.12519,doi:10.1007/JHEP06(2024)040. Page 30 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  168. [177]

    Cacciari, A

    M. Cacciari, A. Ghira, S. Marzani, G. Ridolfi, An improved description of charm fragmentation data, Eur. Phys. J. C 84 (9) (2024) 889. arXiv:2406.04173,doi:10.1140/epjc/s10052-024-13245-z

  169. [178]

    doi:10.1016/0370-2693(78)90653-6

    V.Kartvelishvili,A.Likhoded,V.Petrov,OntheFragmentationFunctionsofHeavyQuarksIntoHadrons,Phys.Lett.B78(1978)615–617. doi:10.1016/0370-2693(78)90653-6

  170. [179]

    M. G. Bowler, e+ e- Production of Heavy Quarks in the String Model, Z. Phys. C 11 (1981) 169.doi:10.1007/BF01574001

  171. [180]

    Peterson, D

    C. Peterson, D. Schlatter, I. Schmitt, P. M. Zerwas, Scaling Violations in Inclusive e+ e- Annihilation Spectra, Phys. Rev. D 27 (1983) 105. doi:10.1103/PhysRevD.27.105

  172. [181]

    B.Andersson,G.Gustafson,B.Soderberg,AGeneralModelforJetFragmentation,Z.Phys.C20(1983)317.doi:10.1007/BF01407824

  173. [182]

    P. D. B. Collins, T. P. Spiller, The Fragmentation of Heavy Quarks, J. Phys. G 11 (1985) 1289.doi:10.1088/0305-4616/11/12/006

  174. [183]

    doi:10.1016/0370-2693(92)91317-3

    G.Colangelo,P.Nason,ATheoreticalstudyofthecandbfragmentationfunctionfrome+e-annihilation,Phys.Lett.B285(1992)167–171. doi:10.1016/0370-2693(92)91317-3

  175. [184]

    H.Georgi,AnEffectiveFieldTheoryforHeavyQuarksatLow-energies,Phys.Lett.B240(1990)447–450.doi:10.1016/0370-2693(90) 91128-X

  176. [185]

    Eichten, B

    E. Eichten, B. R. Hill, An Effective Field Theory for the Calculation of Matrix Elements Involving Heavy Quarks, Phys. Lett. B 234 (1990) 511–516.doi:10.1016/0370-2693(90)92049-O

  177. [186]

    Grinstein, Light quark, heavy quark systems, Ann

    B. Grinstein, Light quark, heavy quark systems, Ann. Rev. Nucl. Part. Sci. 42 (1992) 101–145.doi:10.1146/annurev.ns.42.120192. 000533

  178. [187]

    Neubert, Heavy quark symmetry, Phys

    M. Neubert, Heavy quark symmetry, Phys. Rept. 245 (1994) 259–396.arXiv:hep-ph/9306320,doi:10.1016/0370-1573(94) 90091-4

  179. [188]

    W. E. Caswell, G. P. Lepage, Effective Lagrangians for Bound State Problems in QED, QCD, and Other Field Theories, Phys. Lett. B 167 (1986) 437–442.doi:10.1016/0370-2693(86)91297-9

  180. [189]

    B.A.Thacker,G.P.Lepage,HeavyquarkboundstatesinlatticeQCD,Phys.Rev.D43(1991)196–208.doi:10.1103/PhysRevD.43.196

  181. [190]

    G. T. Bodwin, E. Braaten, G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium, Phys. Rev. D 51 (1995) 1125–1171, [Erratum: Phys.Rev.D 55, 5853 (1997)].arXiv:hep-ph/9407339,doi:10.1103/PhysRevD.55.5853

  182. [191]

    P. L. Cho, A. K. Leibovich, Color octet quarkonia production, Phys. Rev. D 53 (1996) 150–162.arXiv:hep-ph/9505329,doi: 10.1103/PhysRevD.53.150

  183. [192]

    P. L. Cho, A. K. Leibovich, Color octet quarkonia production. 2., Phys. Rev. D 53 (1996) 6203–6217.arXiv:hep-ph/9511315, doi:10.1103/PhysRevD.53.6203

  184. [193]

    A. K. Leibovich, Psi-prime polarization due to color octet quarkonia production, Phys. Rev. D 56 (1997) 4412–4415.arXiv:hep-ph/ 9610381,doi:10.1103/PhysRevD.56.4412

  185. [194]

    G. T. Bodwin, E. Braaten, J. Lee, Comparison of the color-evaporation model and the NRQCD factorization approach in charmonium production, Phys. Rev. D 72 (2005) 014004.arXiv:hep-ph/0504014,doi:10.1103/PhysRevD.72.014004

  186. [195]

    Grinstein, A Modern introduction to quarkonium theory, Int

    B. Grinstein, A Modern introduction to quarkonium theory, Int. J. Mod. Phys. A 15 (2000) 461–496.arXiv:hep-ph/9811264,doi: 10.1142/S0217751X00000227

  187. [196]

    Krämer, Quarkonium production at high-energy colliders, Prog

    M. Krämer, Quarkonium production at high-energy colliders, Prog. Part. Nucl. Phys. 47 (2001) 141–201.arXiv:hep-ph/0106120, doi:10.1016/S0146-6410(01)00154-5

  188. [197]

    Brambilla, et al., Heavy quarkonium physicsarXiv:hep-ph/0412158,doi:10.5170/CERN-2005-005

    N. Brambilla, et al., Heavy quarkonium physicsarXiv:hep-ph/0412158,doi:10.5170/CERN-2005-005

  189. [198]

    J.-P.Lansberg,Quarkoniumproductionathigh-energyhadroncolliders:ASystematicgauge-invariantapproachtorelativisticeffectsof𝐽∕𝜓, 𝜓 ′ and𝜐production, Phd thesis, Liege University (4 2005).arXiv:hep-ph/0507175

  190. [199]

    Lansberg, New Observables in Inclusive Production of Quarkonia, Phys

    J.-P. Lansberg, New Observables in Inclusive Production of Quarkonia, Phys. Rept. 889 (2020) 1–106.arXiv:1903.09185,doi: 10.1016/j.physrep.2020.08.007

  191. [200]

    S.Alekhin,J.Blumlein,S.Klein,S.Moch,The3,4,and5-flavorNNLOPartonfromDeep-Inelastic-ScatteringDataandatHadronColliders, Phys. Rev. D 81 (2010) 014032.arXiv:0908.2766,doi:10.1103/PhysRevD.81.014032

  192. [201]

    Fleming, A

    S. Fleming, A. K. Leibovich, T. Mehen, I. Z. Rothstein, The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation, Phys. Rev. D 86 (2012) 094012.arXiv:1207.2578,doi:10.1103/PhysRevD.86.094012

  193. [202]

    Kang, Y.-Q

    Z.-B. Kang, Y.-Q. Ma, J.-W. Qiu, G. Sterman, Heavy Quarkonium Production at Collider Energies: Factorization and Evolution, Phys. Rev. D 90 (3) (2014) 034006.arXiv:1401.0923,doi:10.1103/PhysRevD.90.034006

  194. [203]

    M.G.Echevarria,ProperTMDfactorizationforquarkoniaproduction:𝑝𝑝→𝜂 𝑐,𝑏 asastudycase,JHEP10(2019)144.arXiv:1907.06494, doi:10.1007/JHEP10(2019)144

  195. [204]

    D.Boer,J.Bor,L.Maxia,C.Pisano,F.Yuan,TransversemomentumdependentshapefunctionforJ/𝜓productioninSIDIS,JHEP08(2023) 105.arXiv:2304.09473,doi:10.1007/JHEP08(2023)105

  196. [205]

    Braaten, T

    E. Braaten, T. C. Yuan, Gluon fragmentation into heavy quarkonium, Phys. Rev. Lett. 71 (1993) 1673–1676.arXiv:hep-ph/9303205, doi:10.1103/PhysRevLett.71.1673

  197. [206]

    Braaten, K.-m

    E. Braaten, K.-m. Cheung, T. C. Yuan, Z0 decay into charmonium via charm quark fragmentation, Phys. Rev. D 48 (1993) 4230–4235. arXiv:hep-ph/9302307,doi:10.1103/PhysRevD.48.4230

  198. [207]

    Zheng, C.-H

    X.-C. Zheng, C.-H. Chang, T.-F. Feng, X.-G. Wu, QCD NLO fragmentation functions for c or b¯quark to Bc or Bc* meson and their application, Phys. Rev. D 100 (3) (2019) 034004.arXiv:1901.03477,doi:10.1103/PhysRevD.100.034004

  199. [208]

    Zheng, C.-H

    X.-C. Zheng, C.-H. Chang, X.-G. Wu, Fragmentation functions for gluon into𝐵𝑐 or𝐵 ∗ 𝑐 meson, JHEP 05 (2022) 036.arXiv:2112.10520, doi:10.1007/JHEP05(2022)036

  200. [209]

    F.Feng,Y.Jia,D.Yang,GluonfragmentationintoBc(*)inNRQCDfactorization,Phys.Rev.D106(5)(2022)054030.arXiv:2112.15569, doi:10.1103/PhysRevD.106.054030

  201. [210]

    Zheng, X.-G

    X.-C. Zheng, X.-G. Wu, Fragmentation functions for gluon into𝑃-wave𝐵𝑐 mesonsarXiv:2602.01211. Page 31 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  202. [211]

    F. G. Celiberto, The high-energy spectrum of QCD from inclusive emissions of charmed B-mesons, Phys. Lett. B 835 (2022) 137554. arXiv:2206.09413,doi:10.1016/j.physletb.2022.137554

  203. [212]

    F. G. Celiberto, High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC, Eur. Phys. J. C 84 (4) (2024) 384. arXiv:2401.01410,doi:10.1140/epjc/s10052-024-12704-x

  204. [213]

    Aaij, et al., Precision measurement of𝐶𝑃violation in𝐵 0 𝑠 →𝐽∕𝜓𝐾 +𝐾 − decays, Phys

    R. Aaij, et al., Precision measurement of𝐶𝑃violation in𝐵 0 𝑠 →𝐽∕𝜓𝐾 +𝐾 − decays, Phys. Rev. Lett. 114 (4) (2015) 041801.arXiv: 1411.3104,doi:10.1103/PhysRevLett.114.041801

  205. [214]

    Aaij, et al., Measurement of the𝑏-quark production cross-section in 7 and 13 TeV𝑝𝑝collisions, Phys

    R. Aaij, et al., Measurement of the𝑏-quark production cross-section in 7 and 13 TeV𝑝𝑝collisions, Phys. Rev. Lett. 118 (5) (2017) 052002, [Erratum: Phys.Rev.Lett. 119, 169901 (2017)].arXiv:1612.05140,doi:10.1103/PhysRevLett.118.052002

  206. [215]

    Aaij, et al., Observation of structure in the𝐽∕𝜓-pair mass spectrum, Sci

    R. Aaij, et al., Observation of structure in the𝐽∕𝜓-pair mass spectrum, Sci. Bull. 65 (23) (2020) 1983–1993.arXiv:2006.16957, doi:10.1016/j.scib.2020.08.032

  207. [216]

    Aad, et al., Observation of an Excess of Dicharmonium Events in the Four-Muon Final State with the ATLAS Detector, Phys

    G. Aad, et al., Observation of an Excess of Dicharmonium Events in the Four-Muon Final State with the ATLAS Detector, Phys. Rev. Lett. 131 (15) (2023) 151902.arXiv:2304.08962,doi:10.1103/PhysRevLett.131.151902

  208. [217]

    arXiv:2009.08376,doi:10.1016/j.scib.2025.04.035

    H.-F.Zhang,Y.-Q.Ma,W.-L.Sang,PerturbativeQCDevidenceforspin-2particlesinthedi-𝐽∕𝜓resonances,Sci.Bull.70(2025)1915–1917. arXiv:2009.08376,doi:10.1016/j.scib.2025.04.035

  209. [218]

    Zhu, Fully-heavy tetraquark spectra and production at hadron colliders, Nucl

    R. Zhu, Fully-heavy tetraquark spectra and production at hadron colliders, Nucl. Phys. B 966 (2021) 115393.arXiv:2010.09082, doi:10.1016/j.nuclphysb.2021.115393

  210. [219]

    Suzuki, Spin Property of Heavy Hadron in Heavy Quark Fragmentation: A Simple Model, Phys

    M. Suzuki, Spin Property of Heavy Hadron in Heavy Quark Fragmentation: A Simple Model, Phys. Rev. D 33 (1986) 676.doi: 10.1103/PhysRevD.33.676

  211. [220]

    F.Amiri,C.-R.Ji,PerturbativeQuantumChromodynamicPredictionfortheHeavyQuarkFragmentationFunction,Phys.Lett.B195(1987) 593–598.doi:10.1016/0370-2693(87)91579-6

  212. [221]

    F. G. Celiberto, A. Papa, A high-energy QCD portal to exotic matter: Heavy-light tetraquarks at the HL-LHC, Phys. Lett. B 848 (2024) 138406.arXiv:2308.00809,doi:10.1016/j.physletb.2023.138406

  213. [222]

    F. G. Celiberto, Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update, Phys. Rev. D 111 (11) (2025) L111501. arXiv:2504.03949,doi:10.1103/ympl-ly2l

  214. [223]

    F. G. Celiberto, Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study, Phys. Rev. D 112 (7) (2025) 074041. arXiv:2507.09744,doi:10.1103/375n-fw5h

  215. [224]

    F. G. Celiberto, A. V. Giannini, V. P. Gonçalves, Y. N. Lima, Fully charmed tetraquark production in forward rapidity𝑝𝑝collisions at LHC and FCC energies, Phys. Rev. D 113 (5) (2026) 054014.arXiv:2511.18984,doi:10.1103/tq47-w7jn

  216. [225]

    R.Farashaeian,S.M.MoosaviNejad,Groundstatefullyheavypentaquarkproductioninthepairannihilationprocess,Eur.Phys.J.A60(3) (2024) 65.doi:10.1140/epja/s10050-024-01294-7

  217. [226]

    G. P. Lepage, S. J. Brodsky, Exclusive Processes in Perturbative Quantum Chromodynamics, Phys. Rev. D 22 (1980) 2157.doi: 10.1103/PhysRevD.22.2157

  218. [227]

    S. J. Brodsky, C.-R. Ji, Exclusive Production of Higher Generation Hadrons and Form-factor Zeros in Quantum Chromodynamics, Phys. Rev. Lett. 55 (1985) 2257.doi:10.1103/PhysRevLett.55.2257

  219. [228]

    Bertone, N

    V. Bertone, N. P. Hartland, E. R. Nocera, J. Rojo, L. Rottoli, Charged hadron fragmentation functions from collider data, Eur. Phys. J. C 78 (8) (2018) 651, [Erratum: Eur.Phys.J.C 84, 155 (2024)].arXiv:1807.03310,doi:10.1140/epjc/s10052-018-6130-4

  220. [229]

    R.Mertig,M.Bohm,A.Denner,FEYNCALC:ComputeralgebraiccalculationofFeynmanamplitudes,Comput.Phys.Commun.64(1991) 345–359.doi:10.1016/0010-4655(91)90130-D

  221. [230]

    Shtabovenko, R

    V. Shtabovenko, R. Mertig, F. Orellana, New Developments in FeynCalc 9.0, Comput. Phys. Commun. 207 (2016) 432–444.arXiv: 1601.01167,doi:10.1016/j.cpc.2016.06.008

  222. [231]

    Shtabovenko, R

    V. Shtabovenko, R. Mertig, F. Orellana, FeynCalc 9.3: New features and improvements, Comput. Phys. Commun. 256 (2020) 107478. arXiv:2001.04407,doi:10.1016/j.cpc.2020.107478

  223. [232]

    P. A. Zyla, et al., Review of Particle Physics, PTEP 2020 (8) (2020) 083C01.doi:10.1093/ptep/ptaa104

  224. [233]

    M. A. Gomshi Nobary, Heavy quark fragmentation functions, J. Phys. G 20 (1994) 65–72.doi:10.1088/0954-3899/20/1/008

  225. [234]

    F. G. Celiberto, D. Yu. Ivanov, B. Murdaca, A. Papa, High energy resummation in dihadron production at the LHC, Phys. Rev. D 94 (3) (2016) 034013.arXiv:1604.08013,doi:10.1103/PhysRevD.94.034013

  226. [235]

    F. G. Celiberto, D. Yu. Ivanov, B. Murdaca, A. Papa, Dihadron production at the LHC: full next-to-leading BFKL calculation, Eur. Phys. J. C 77 (6) (2017) 382.arXiv:1701.05077,doi:10.1140/epjc/s10052-017-4949-8

  227. [236]

    A. D. Bolognino, F. G. Celiberto, D. Yu. Ivanov, M. M. A. Mohammed, A. Papa, Hadron-jet correlations in high-energy hadronic collisions at the LHC, Eur. Phys. J. C 78 (9) (2018) 772.arXiv:1808.05483,doi:10.1140/epjc/s10052-018-6253-7

  228. [237]

    F. G. Celiberto, M. Fucilla, D. Yu. Ivanov, A. Papa, High-energy resummation inΛ𝑐 baryon production, Eur. Phys. J. C 81 (8) (2021) 780. arXiv:2105.06432,doi:10.1140/epjc/s10052-021-09448-3

  229. [238]

    F.G.Celiberto,M.Fucilla,D.Yu.Ivanov,M.M.A.Mohammed,A.Papa,Bottom-flavoredinclusiveemissionsinthevariable-flavornumber scheme: A high-energy analysis, Phys. Rev. D 104 (11) (2021) 114007.arXiv:2109.11875,doi:10.1103/PhysRevD.104.114007

  230. [239]

    Binosi, J

    D. Binosi, J. Collins, C. Kaufhold, L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams. Version 2.0 release notes, Comput. Phys. Commun. 180 (2009) 1709–1715.arXiv:0811.4113,doi:10.1016/j.cpc.2009.02.020

  231. [240]

    R. L. Jaffe, F. Wilczek, Diquarks and exotic spectroscopy, Phys. Rev. Lett. 91 (2003) 232003.arXiv:hep-ph/0307341,doi:10.1103/ PhysRevLett.91.232003

  232. [241]

    De Sanctis, J

    M. De Sanctis, J. Ferretti, R. Magaña Vsevolodovna, P. Saracco, E. Santopinto, An interacting quark-diquark model. Strange and nonstrange baryon spectroscopy and other observables, Few Body Syst. 57 (12) (2016) 1177–1184.arXiv:1608.00387,doi:10.1007/ s00601-016-1139-4

  233. [242]

    Page 32 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

    M.Nzar,P.Hoodbhoy,QuarkfragmentationfunctionsinadiquarkmodelforprotonandLambdahyperonproduction,Phys.Rev.D51(1995) 32–36.arXiv:hep-ph/9502349,doi:10.1103/PhysRevD.51.32. Page 32 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  234. [243]

    B.-Q. Ma, I. Schmidt, J. Soffer, J.-J. Yang, Quark distributions of octet baryons from SU(3) symmetry, Phys. Rev. D 65 (2002) 034004. arXiv:hep-ph/0110029,doi:10.1103/PhysRevD.65.034004

  235. [244]

    Yang, Flavor and spin structure of quark fragmentation functions in a diquark model for octet baryons, Phys

    J.-J. Yang, Flavor and spin structure of quark fragmentation functions in a diquark model for octet baryons, Phys. Rev. D 65 (2002) 094035. doi:10.1103/PhysRevD.65.094035

  236. [245]

    A. F. Falk, M. E. Luke, M. J. Savage, M. B. Wise, Heavy quark fragmentation to baryons containing two heavy quarks, Phys. Rev. D 49 (1994) 555–558.arXiv:hep-ph/9305315,doi:10.1103/PhysRevD.49.555

  237. [246]

    A. D. Adamov, G. R. Goldstein, Fragmentation functions for baryons in a quark - diquark model, Phys. Rev. D 56 (1997) 7381–7391. arXiv:hep-ph/9706491,doi:10.1103/PhysRevD.56.7381

  238. [247]

    S. M. Moosavi Nejad, NLO QCD corrections to triply heavy baryon fragmentation function considering the effect of nonperturbative dynamics of baryon bound states, Phys. Rev. D 96 (11) (2017) 114021.doi:10.1103/PhysRevD.96.114021

  239. [248]

    M.Delpasand,S.M.MoosaviNejad,Gluonfragmentationintotriplyheavybaryonsconsideringtwovariousscenarios,Phys.Rev.D99(11) (2019) 114028.doi:10.1103/PhysRevD.99.114028

  240. [249]

    R. N. Faustov, V. O. Galkin, E. M. Savchenko, Masses of the𝑄𝑄̄𝑄 ̄𝑄tetraquarks in the relativistic diquark–antidiquark picture, Phys. Rev. D 102 (11) (2020) 114030.arXiv:2009.13237,doi:10.1103/PhysRevD.102.114030

  241. [250]

    R. N. Faustov, V. O. Galkin, E. M. Savchenko, Heavy tetraquarks in the relativistic quark model, Universe 7 (4) (2021) 94.arXiv: 2103.01763,doi:10.3390/universe7040094

  242. [251]

    R. N. Faustov, V. O. Galkin, E. M. Savchenko, Fully Heavy Tetraquark Spectroscopy in the Relativistic Quark Model, Symmetry 14 (12) (2022) 2504.arXiv:2210.16015,doi:10.3390/sym14122504

  243. [252]

    Maiani, A

    L. Maiani, A. D. Polosa, V. Riquer, The New Pentaquarks in the Diquark Model, Phys. Lett. B 749 (2015) 289–291.doi:10.1016/j. physletb.2015.08.008

  244. [253]

    R.Farashaeian,S.M.MoosaviNejad,FragmentationproductionofS-waveheavypentaquarkindiquarkmodel,Eur.Phys.J.A60(7)(2024) 143.doi:10.1140/epja/s10050-024-01360-0

  245. [254]

    Cacciari, P

    M. Cacciari, P. Nason, C. Oleari, A Study of heavy flavored meson fragmentation functions in e+ e- annihilation, JHEP 04 (2006) 006. arXiv:hep-ph/0510032,doi:10.1088/1126-6708/2006/04/006

  246. [255]

    B. A. Kniehl, G. Kramer, I. Schienbein, H. Spiesberger, Finite-mass effects on inclusive𝐵meson hadroproduction, Phys. Rev. D 77 (2008) 014011.arXiv:0705.4392,doi:10.1103/PhysRevD.77.014011

  247. [256]

    F. G. Celiberto, Unwinding the rareΩsector: Fragmentation of fully charmed baryons from HL-LHC to FCC, Phys. Rev. D 112 (7) (2025) 074023.arXiv:2506.00776,doi:10.1103/sb8n-9nt6

  248. [257]

    arXiv:1310.1394,doi:10.1016/j.cpc.2014.03.007

    V.Bertone,S.Carrazza,J.Rojo,APFEL:APDFEvolutionLibrarywithQEDcorrections,Comput.Phys.Commun.185(2014)1647–1668. arXiv:1310.1394,doi:10.1016/j.cpc.2014.03.007

  249. [258]

    Carrazza, A

    S. Carrazza, A. Ferrara, D. Palazzo, J. Rojo, APFEL Web: a web-based application for the graphical visualization of parton distribution functions, J. Phys. G 42 (5) (2015) 057001.arXiv:1410.5456,doi:10.1088/0954-3899/42/5/057001

  250. [259]

    Bertone, APFEL++: A new PDF evolution library in C++, PoS DIS2017 (2018) 201.arXiv:1708.00911,doi:10.22323/1.297

    V. Bertone, APFEL++: A new PDF evolution library in C++, PoS DIS2017 (2018) 201.arXiv:1708.00911,doi:10.22323/1.297. 0201

  251. [260]

    Candido, F

    A. Candido, F. Hekhorn, G. Magni, EKO: evolution kernel operators, Eur. Phys. J. C 82 (10) (2022) 976.arXiv:2202.02338,doi: 10.1140/epjc/s10052-022-10878-w

  252. [261]

    Hekhorn, G

    F. Hekhorn, G. Magni, DGLAP evolution of parton distributions at approximate N3LOarXiv:2306.15294

  253. [262]

    F. G. Celiberto, Emergence of high-energy dynamics from cascade-baryon detections at the LHC, Eur. Phys. J. C 83 (4) (2023) 332. arXiv:2208.14577,doi:10.1140/epjc/s10052-023-11417-x

  254. [263]

    F. G. Celiberto, Stabilizing BFKL via Heavy-flavor and NRQCD Fragmentation, Acta Phys. Polon. Supp. 16 (5) (2023) 41.arXiv: 2211.11780,doi:10.5506/APhysPolBSupp.16.5-A41

  255. [264]

    J. C. Collins, D. E. Soper, G. F. Sterman, Factorization of Hard Processes in QCD, Adv. Ser. Direct. High Energy Phys. 5 (1989) 1–91. arXiv:hep-ph/0409313,doi:10.1142/9789814503266_0001

  256. [265]

    G. F. Sterman, Partons, factorization and resummation, TASI 95, in: Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond, 1995, pp. 327–408.arXiv:hep-ph/9606312

  257. [266]

    L. V. Gribov, E. M. Levin, M. G. Ryskin, Semihard Processes in QCD, Phys. Rept. 100 (1983) 1–150.doi:10.1016/0370-1573(83) 90022-4

  258. [267]

    F. G. Celiberto, High-energy resummation in semi-hard processes at the LHC, Phd thesis, Università della Calabria and INFN-Cosenza (2017).arXiv:1707.04315

  259. [268]

    A. D. Bolognino, From semi-hard processes to the unintegrated gluon distribution: a phenomenological path in the high-energy framework, Phd thesis, Calabria U. (2021).arXiv:2109.03033

  260. [269]

    M. M. A. Mohammed, Hunting stabilization effects of the high-energy resummation at the LHC, Phd thesis, Università della Calabria and INFN-Cosenza (4 2022).arXiv:2204.11606

  261. [270]

    G.Gatto,High-energydynamicsofQCD:Theoreticalandphenomenologicalresults,Phdthesis,UniversitàdellaCalabriaandINFN-Cosenza (6 2025).arXiv:2506.03222

  262. [271]

    V. S. Fadin, E. Kuraev, L. Lipatov, On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B 60 (1975) 50–52. doi:10.1016/0370-2693(75)90524-9

  263. [272]

    E. A. Kuraev, L. N. Lipatov, V. S. Fadin, Multi - Reggeon Processes in the Yang-Mills Theory, Sov. Phys. JETP 44 (1976) 443–450

  264. [273]

    Kuraev, L

    E. Kuraev, L. Lipatov, V. S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Sov. Phys. JETP 45 (1977) 199–204

  265. [274]

    Balitsky, L

    I. Balitsky, L. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822–829

  266. [275]

    V. S. Fadin, L. N. Lipatov, BFKL pomeron in the next-to-leading approximation, Phys. Lett. B 429 (1998) 127–134.arXiv:hep-ph/ 9802290,doi:10.1016/S0370-2693(98)00473-0. Page 33 of 44 Fully Heavy Pentaquarks withJethad: A high-Energy Viewpoint

  267. [276]

    M.Ciafaloni,G.Camici,Energyscale(s)andnext-to-leadingBFKLequation,Phys.Lett.B430(1998)349–354.arXiv:hep-ph/9803389, doi:10.1016/S0370-2693(98)00551-6

  268. [277]

    V. S. Fadin, R. Fiore, A. Papa, The Quark part of the nonforward BFKL kernel and the ’bootstrap’ for the gluon Reggeization, Phys. Rev. D 60 (1999) 074025.arXiv:hep-ph/9812456,doi:10.1103/PhysRevD.60.074025

  269. [278]

    V. S. Fadin, D. A. Gorbachev, Nonforward color octet BFKL kernel, JETP Lett. 71 (2000) 222–226.doi:10.1134/1.568320

  270. [279]

    V. S. Fadin, D. A. Gorbachev, Nonforward color-octet kernel of the Balitsky-Fadin-Kuraev-Lipatov equation, Phys. Atom. Nucl. 63 (2000) 2157–2172.doi:10.1134/1.1333885

  271. [280]

    V.S.Fadin,R.Fiore,Non-forwardBFKLpomeronatnext-to-leadingorder,Phys.Lett.B610(2005)61–66,[Erratum:Phys.Lett.B621,320 (2005)].arXiv:hep-ph/0412386,doi:10.1016/j.physletb.2005.06.074

  272. [281]

    V. S. Fadin, R. Fiore, Non-forward NLO BFKL kernel, Phys. Rev. D 72 (2005) 014018.arXiv:hep-ph/0502045,doi:10.1103/ PhysRevD.72.014018

  273. [282]

    F.Caola,A.Chakraborty,G.Gambuti,A.vonManteuffel,L.Tancredi,Three-LoopGluonScatteringinQCDandtheGluonReggeTrajectory, Phys. Rev. Lett. 128 (21) (2022) 212001.arXiv:2112.11097,doi:10.1103/PhysRevLett.128.212001

  274. [283]

    128 (13) (2022) 132001.arXiv:2112.11098,doi:10.1103/PhysRevLett.128.132001

    G.Falcioni,E.Gardi,N.Maher,C.Milloy,L.Vernazza,DisentanglingtheReggeCutandReggePoleinPerturbativeQCD,Phys.Rev.Lett. 128 (13) (2022) 132001.arXiv:2112.11098,doi:10.1103/PhysRevLett.128.132001

  275. [284]

    Del Duca, R

    V. Del Duca, R. Marzucca, B. Verbeek, The gluon Regge trajectory at three loops from planar Yang-Mills theory, JHEP 01 (2022) 149. arXiv:2111.14265,doi:10.1007/JHEP01(2022)149

  276. [285]

    E. P. Byrne, V. Del Duca, L. J. Dixon, E. Gardi, J. M. Smillie, One-loop central-emission vertex for two gluons in= 4 super Yang-Mills theory, JHEP 08 (2022) 271.arXiv:2204.12459,doi:10.1007/JHEP08(2022)271

  277. [286]

    V. S. Fadin, M. Fucilla, A. Papa, One-loop Lipatov vertex in QCD with higher𝜖-accuracy, JHEP 04 (2023) 137.arXiv:2302.09868, doi:10.1007/JHEP04(2023)137

  278. [287]

    E.P.Byrne,One-loopfive-partonamplitudesintheNMRKlimit,JHEP07(2024)284.arXiv:2312.15051,doi:10.1007/JHEP07(2024) 284

  279. [288]

    V. S. Fadin, R. Fiore, M. I. Kotsky, A. Papa, The Gluon impact factors, Phys. Rev. D 61 (2000) 094005.arXiv:hep-ph/9908264, doi:10.1103/PhysRevD.61.094005

  280. [289]

    V. S. Fadin, R. Fiore, M. I. Kotsky, A. Papa, The Quark impact factors, Phys. Rev. D 61 (2000) 094006.arXiv:hep-ph/9908265, doi:10.1103/PhysRevD.61.094006

  281. [290]

    Bartels, D

    J. Bartels, D. Colferai, G. P. Vacca, The NLO jet vertex for Mueller-Navelet and forward jets: The Quark part, Eur. Phys. J. C 24 (2002) 83–99.arXiv:hep-ph/0112283,doi:10.1007/s100520200919

  282. [291]

    Bartels, D

    J. Bartels, D. Colferai, G. P. Vacca, The NLO jet vertex for Mueller-Navelet and forward jets: The Gluon part, Eur. Phys. J. C 29 (2003) 235–249.arXiv:hep-ph/0206290,doi:10.1140/epjc/s2003-01169-5

  283. [292]

    F.Caporale,D.Yu.Ivanov,B.Murdaca,A.Papa,A.Perri,Thenext-to-leadingorderjetvertexforMueller-Naveletandforwardjetsrevisited, JHEP 02 (2012) 101.arXiv:1112.3752,doi:10.1007/JHEP02(2012)101

  284. [293]

    D. Yu. Ivanov, A. Papa, The next-to-leading order forward jet vertex in the small-cone approximation, JHEP 05 (2012) 086.arXiv: 1202.1082,doi:10.1007/JHEP05(2012)086

  285. [294]

    Colferai, A

    D. Colferai, A. Niccoli, The NLO jet vertex in the small-cone approximation for kt and cone algorithms, JHEP 04 (2015) 071.arXiv: 1501.07442,doi:10.1007/JHEP04(2015)071

  286. [295]

    D.Yu.Ivanov,A.Papa,Inclusiveproductionofapairofhadronsseparatedbyalargeintervalofrapidityinprotoncollisions,JHEP07(2012) 045.arXiv:1205.6068,doi:10.1007/JHEP07(2012)045

  287. [296]

    D. Yu. Ivanov, M. I. Kotsky, A. Papa, The Impact factor for the virtual photon to light vector meson transition, Eur. Phys. J. C 38 (2004) 195–213.arXiv:hep-ph/0405297,doi:10.1140/epjc/s2004-02039-4

  288. [297]

    J.Bartels,S.Gieseke,C.F.Qiao,The(gamma*—>qanti-q)Reggeonvertexinnext-to-leadingorderQCD,Phys.Rev.D63(2001)056014, [Erratum: Phys.Rev.D 65, 079902 (2002)].arXiv:hep-ph/0009102,doi:10.1103/PhysRevD.63.056014

  289. [298]

    Bartels, S

    J. Bartels, S. Gieseke, A. Kyrieleis, The Process gamma*(L) + q —>(q anti-q g) + q: Real corrections to the virtual photon impact factor, Phys. Rev. D 65 (2002) 014006.arXiv:hep-ph/0107152,doi:10.1103/PhysRevD.65.014006

  290. [299]

    Bartels, D

    J. Bartels, D. Colferai, S. Gieseke, A. Kyrieleis, NLO corrections to the photon impact factor: Combining real and virtual corrections, Phys. Rev. D 66 (2002) 094017.arXiv:hep-ph/0208130,doi:10.1103/PhysRevD.66.094017

  291. [300]

    Bartels, A

    J. Bartels, A. Kyrieleis, NLO corrections to the gamma* impact factor: First numerical results for the real corrections to gamma*(L), Phys. Rev. D 70 (2004) 114003.arXiv:hep-ph/0407051,doi:10.1103/PhysRevD.70.114003

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