Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Diffusion-based point-cloud generation of heavy-ion events

Rita Sadek1, Vinicius Mikuni2, and Mateusz Płoskoń1

Phys. Rev. C 114, 024904 – Published 10 August, 2026

DOI: https://doi.org/10.1103/nmmz-bwcs

Abstract

Heavy-ion collisions produce final states with thousands to tens of thousands of particles, making their simulation among the most computationally intensive tasks in high-energy nuclear physics. We present a fast, high-fidelity generative model for heavy-ion events based on a score-driven diffusion process and the point-edge transformer architecture within the OmniLearn framework. A two-stage training strategy is performed: Stage 1 trains on lower-multiplicity O-O collisions, allowing the model to learn a stable event-and-particles representation; this is followed in Stage 2 by fine tuning on challenging high-multiplicity Pb-Pb collisions. We benchmark the generator with a broad set of closure checks, including agreement of event- and particle-level observables in one and two dimensions, flow consistency reconstructed from the generated particles, end-to-end jet finding with FastJet including key jet and substructure observables, and a classifier-based application to quantify the sample fidelity. The results are promising, showing that a compact generative model can produce realistic, high-multiplicity heavy-ion events, at a level that makes local-scale generation for heavy-ion collisions at high energies a practical goal.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (29)

  1. Edited by I. Béjar Alonso, O. Brüning, P. Fessia, M. Lamont, L. Rossi, L. Tavian, and M. Zerlauth, High-Luminosity Large Hadron Collider (HL-LHC): Technical design report (CERN, Geneva, 2000), Vol. 10.
  2. H. Hirvonen, K. J. Eskola, and H. Niemi, Deep learning for flow observables in ultrarelativistic heavy-ion collisions, Phys. Rev. C 108, 034905 (2023).
  3. K.-Y. Wu, Z. Yang, L.-G. Pang, and X.-N. Wang, Study of jet-induced hydro response in high-energy heavy-ion collisions with a flow-matching generative model, arXiv:2605.17511.
  4. M. Omana Kuttan, K. Zhou, J. Steinheimer, and H. Stoecker, Ultrafast, event-by-event heavy-ion simulations for next-generation experiments, Phys. Rev. C 112, 054907 (2025).
  5. J.-A. Sun, L. Yan, C. Gale, and S. Jeon, End-to-end generative diffusion model for heavy-ion collisions, Phys. Rev. C 112, L051903 (2025).
  6. D. Torbunov, Y. Huang, M. Lin, Y. Ren, Y. Go, T. Rinn, H. Yu, B. Viren, and J. Huang, Effectiveness of denoising diffusion probabilistic models for fast and high-fidelity whole-event simulation in high-energy heavy-ion experiments, Phys. Rev. C 110, 034912 (2024).
  7. M. Leigh, D. Sengupta, J. A. Raine, G. Quétant, and T. Golling, Faster diffusion model with improved quality for particle cloud generation, Phys. Rev. D 109, 012010 (2024).
  8. V. Mikuni and B. Nachman, Method to simultaneously facilitate all jet physics tasks, Phys. Rev. D 111, 054015 (2025).
  9. Y. Song, J. Sohl-Dickstein, D. P. Kingma, A. Kumar, S. Ermon, and B. Poole, Score-based generative modeling through stochastic differential equations, arXiv:2011.13456.
  10. J. Y. Araz, V. Mikuni, F. Ringer, N. Sato, F. T. Acosta, and R. Whitehill, Point cloud-based diffusion models for the Electron-Ion Collider, Phys. Lett. B 868, 139694 (2025).
  11. T. Salimans and J. Ho, Progressive distillation for fast sampling of diffusion models, arXiv:2202.00512.
  12. C. Bierlich, G. Gustafson, L. Lönnblad, and H. Shah, The Angantyr model for heavy-ion collisions in Pythia8, J. High Energy Phys. 10 (2018) 134.
  13. C. Bierlich, S. Chakraborty, N. Desai, L. Gellersen, I. Helenius, P. Ilten, L. Lönnblad, S. Mrenna, S. Prestel, C. T. Preuss, T. Sjöstrand, P. Skands, M. Utheim, and R. Verheyen, A comprehensive guide to the physics and usage of Pythia 8.3, SciPost Phys. Codebases 2022, 8 (2022).
  14. M. L. Miller, K. Reygers, S. J. Sanders, and P. Steinberg, Glauber modeling in high-energy nuclear collisions, Annu. Rev. Nucl. Part. Sci. 57, 205 (2007).
  15. Perlmutter architecture, https://docs.nersc.gov/systems/perlmutter/architecture/.
  16. A. Sergeev and M. D. Balso, Horovod: Fast and easy distributed deep learning in TensorFlow, arXiv:1802.05799.
  17. M. Abadi, P. Barham, J. Chen, Z. Chen, A. Davis, J. Dean, M. Devin, S. Ghemawat, G. Irving, M. Isard, M. Kudlur, J. Levenberg, R. Monga, S. Moore, D. G. Murray, B. Steiner, P. Tucker, V. Vasudevan, P. Warden, M. Wicke, et al., TensorFlow: A system for large-scale machine learning, arXiv:1605.08695.
  18. X. Chen, C. Liang, D. Huang, E. Real, K. Wang, Y. Liu, H. Pham, X. Dong, T. Luong, C.-J. Hsieh, Y. Lu, and Q. V. Le, Symbolic discovery of optimization algorithms, arXiv:2302.06675.
  19. A. M. Poskanzer and S. A. Voloshin, Methods for analyzing anisotropic flow in relativistic nuclear collisions, Phys. Rev. C 58, 1671 (1998).
  20. M. Cacciari, G. P. Salam, and G. Soyez, The anti-kt jet clustering algorithm, J. High Energy Phys. 04 (2008) 063.
  21. M. Cacciari, G. P. Salam, and G. Soyez, FastJet user manual, Eur. Phys. J. C 72, 1896 (2012).
  22. A. J. Larkoski, D. Neill, and J. Thaler, Jet shapes with the broadening axis, J. High Energy Phys. 04 (2014) 017.
  23. Y. Dokshitzer, G. Leder, S. Moretti, and B. Webber, Better jet clustering algorithms, J. High Energy Phys. 08 (1997) 001.
  24. A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler, Soft drop, J. High Energy Phys. 05 (2014) 146.
  25. A. J. Larkoski, J. Thaler, and W. J. Waalewijn, Gaining (mutual) information about quark/gluon discrimination, J. High Energy Phys. 11 (2014) 129.
  26. M. Zaheer, S. Kottur, S. Ravanbakhsh, B. Poczos, R. Salakhutdinov, and A. Smola, Deep sets, arXiv:1703.06114.
  27. Z.-W. Lin, C. M. Ko, B.-A. Li, B. Zhang, and S. Pal, Multiphase transport model for relativistic heavy ion collisions, Phys. Rev. C 72, 064901 (2005).
  28. OmniLearn for heavy-ion collisions, https://github.com/matplo/OmniLearn.
  29. R. Sadek and M. Ploskon, Data and models for: Diffusion-based point-cloud generation of heavy-ion events, Zenodo, 2026, https://doi.org/10.5281/zenodo.21402377.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation