Influence of statistics on the measured moments of conserved quantities in relativistic heavy ion collisions

Abstract

We study statistics dependence of the probability distributions and the means of measured moments of conserved quantities, respectively. The required statistics of all interested moments and their products are estimated based on a simple simulation. We also explain why the measured moments are underestimated when the statistics are insufficient.With the statistics at RHIC/BES, the second and third order moments can be reliably obtained based on the method of Centrality bin width correction (CBWC), which can not be applied for the fourth order moments at low energy. With planning statistics at RHIC/BES II, and improved CBWC method, $\kappa {\sigma }^2$ in a finer centrality bin scale should be measurable. This will help us to understand the current observation of energy and centrality dependence of high-order moments.

arXiv comment11 pages, 6 figures

References in corpus (20)

• Non-Gaussian fluctuations near the QCD critical point
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Hadronic fluctuations at the QCD phase transition
• Baryon Number, Strangeness and Electric Charge Fluctuations in QCD at High Temperature
• Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
• Elliptic flow of identified hadrons in Au+Au collisions at $\sqrt{s_{NN}}=$ 7.7--62.4 GeV
• Event-by-event physics in relativistic heavy ion collisions
• Baryon number conservation and the cumulants of the net proton distribution
• Acceptance corrections to net baryon and net charge cumulants
• Volume fluctuations and higher order cumulants of the net baryon number
• Lattice QCD predictions for shapes of event distributions along the freezeout curve in heavy-ion collisions
• Determination of Freeze-out Conditions from Lattice QCD Calculations
• Net-proton probability distribution in heavy ion collisions
• Non-perturbative dynamics and charge fluctuations in effective chiral models
• Statistical and dynamical parts of the cumulants of conserved charges in relativistic heavy ion collisions

Cited by in corpus (2)

• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV
• Investigating some technical improvements to glueball calculations