Systematic procedure for analyzing cumulants at any order

Abstract

We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed to belong to different phase-space windows, which may overlap. It also allows for the analysis of cumulants at any order, using a simple algorithm rather than complicated expressions to be derived and coded by hand. In the case of azimuthal correlations, it automatically corrects to leading order for detector non-uniformity, and it is useful for numerous other applications as well. We discuss several of these applications: anisotropic flow, event-plane correlations, symmetric cumulants, net baryon and net charge fluctuations.

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Cited by in corpus (33)

• Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants
• Effect of the QCD equation of state and strange hadronic resonances on multiparticle correlations in heavy ion collisions
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Relative flow fluctuations as a probe of initial state fluctuations
• Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
• New constraints for QCD matter from improved Bayesian parameter estimation in heavy-ion collisions at LHC
• Correlated long-range mixed-harmonic fluctuations measured in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector
• Fluctuations of anisotropic flow in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Higher order Symmetric Cumulants
• Generic algorithm for multi-particle cumulants of azimuthal correlations in high energy nucleus collisions
• Skewness of mean transverse momentum fluctuations in heavy-ion collisions
• Symmetric cumulants as a probe of the proton substructure at LHC energies
• Higher-order transverse momentum fluctuations in heavy-ion collisions
• Differential flow correlations in relativistic heavy-ion collisions
• Kurtosis of elliptic flow fluctuations
• Bayesian approach to long-range correlations and multiplicity fluctuations in nucleus-nucleus collisions
• Non-flow effects in three-particle mixed-harmonic azimuthal correlations in small collision systems
• Multivariate cumulants in flow analyses: The Next Generation
• Collectivity in large and small systems formed in ultrarelativistic collisions
• Statistical moments in superposition models and strongly intensive measures
• Isolating dynamical net-charge fluctuations
• Multi-particle correlations, cumulants, and moments sensitive to fluctuations in rare-probe azimuthal anisotropy in heavy ion collisions
• Review of nonflow estimation methods and uncertainties in relativistic heavy-ion collisions
• Utilizing maximum likelihood estimator for flow analysis
• Correlations of azimuthal anisotropy Fourier harmonics with subevent cumulants in pPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 8.16 TeV
• Evidence for similar collectivity of high transverse momentum particles in pPb and PbPb collisions
• Rapidity dependence of transverse-momentum multiplicity correlations
• Statistical uncertainties of the $v_n\{2k\}$ harmonics from Q-cumulants
• On statistical fluctuations in collective flows
• Correlation between particle spectra and elliptic flow
• Cumulant Expansion in Gluon Saturation, and Five and Six-Gluon Azimuthal Correlations
• Cumulants of conserved charges in hydrodynamic simulations
• Measures of azimuthal correlations in relativistic heavy ion collisions