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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Subensemble acceptance method 3.0: general corrections to cumulants from exact conservation constraints

  • Roman Poberezhniuk1,2
  • Volodymyr A. Kuznietsov1,2
  • Grégoire Pihan1
  • Volodymyr Vovchenko1
  1. 1University of Houston
  2. 2Bogolyubov Institute for Theoretical Physics
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Abstract

A bstract : We present the subensemble acceptance method 3.0 (SAM-3.0), which corrects cumulants of an observable measured in a subsystem of a large system for the effect of exact global conservation of multiple charges. The required input is the set of joint grand-canonical cumulants of the acceptance observable with the total event charges, from which the canonical cumulants follow algebraically via a closed recursion based on (multivariate) partial exponential Bell polynomials. The framework accommodates any number of observables, including non-conserved quantities such as net protons, and any number of simultaneously conserved charges, including the total energy, which yields the microcanonical ensemble. The mapping contains SAM-1.0 and SAM-2.0 as special cases and, unlike SAM-2.0, reproduces the exact binomial-acceptance limit. We also derive the leading finite-size corrections from the saddle-point expansion. We apply the method to update the hydrodynamics-based non-critical baseline (Hydro-EV) for net-proton cumulants at RHIC-BES energies, finding a refined baseline that agrees with direct canonical Monte Carlo sampling and stays close to the earlier SAM-2.0 result. We further validate the formalism against direct Monte Carlo sampling with exact simultaneous conservation of baryon number, electric charge, and strangeness, including hadronic-afterburner effects.

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Cite

BibTeXRIS
BibTeX
@article{poberezhniuk2026subensemble,
  title = {{Subensemble acceptance method 3.0: general corrections to cumulants from exact conservation constraints}},
  author = {Roman Poberezhniuk and Volodymyr A. Kuznietsov and Grégoire Pihan and Volodymyr Vovchenko},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)080},
  url = {https://link.springer.com/10.1007/JHEP10(2026)080},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Subensemble acceptance method 3.0: general corrections to cumulants from exact conservation constraints
AU  - Roman Poberezhniuk
AU  - Volodymyr A. Kuznietsov
AU  - Grégoire Pihan
AU  - Volodymyr Vovchenko
PY  - 2026
DA  - 2026/10/07
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)080
UR  - https://link.springer.com/10.1007/JHEP10(2026)080
AB  - A bstract : We present the subensemble acceptance method 3.0 (SAM-3.0), which corrects cumulants of an observable measured in a subsystem of a large system for the effect of exact global conservation of multiple charges. The required input is the set of joint grand-canonical cumulants of the acceptance observable with the total event charges, from which the canonical cumulants follow algebraically via a closed recursion based on (multivariate) partial exponential Bell polynomials. The framework accommodates any number of observables, including non-conserved quantities such as net protons, and any number of simultaneously conserved charges, including the total energy, which yields the microcanonical ensemble. The mapping contains SAM-1.0 and SAM-2.0 as special cases and, unlike SAM-2.0, reproduces the exact binomial-acceptance limit. We also derive the leading finite-size corrections from the saddle-point expansion. We apply the method to update the hydrodynamics-based non-critical baseline (Hydro-EV) for net-proton cumulants at RHIC-BES energies, finding a refined baseline that agrees with direct canonical Monte Carlo sampling and stays close to the earlier SAM-2.0 result. We further validate the formalism against direct Monte Carlo sampling with exact simultaneous conservation of baryon number, electric charge, and strangeness, including hadronic-afterburner effects.
SN  - 1029-8479
ER  -