Mapping the QCD phase diagram with statistics friendly distributions

Abstract

We demonstrate that the multiplicity distribution of a system located in the vicinity of a first-order phase transition can be successfully measured in terms of its factorial cumulants with a surprisingly small number of events. This finding has direct implications for the experimental search of a QCD phase transition conjectured to be located in the high baryon density region of the QCD phase diagram.

6 pages, 3 figures; comments added

References in corpus (4)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Energy Dependence of Moments of Net-Proton and Net-Charge Multiplicity Distributions at STAR
• Large proton cumulants from the superposition of ordinary multiplicity distributions

Cited by in corpus (14)

• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• Quartic cumulant of baryon number in the presence of QCD critical point
• Higher-Order Cumulants and Correlation Functions of Proton Multiplicity Distributions in $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV Au+Au Collisions at the RHIC STAR Experiment
• Reconstructing particle number distributions with convoluting volume fluctuations
• Factorial cumulants from global baryon number conservation
• Factorial cumulants from short-range correlations and global baryon number conservation
• The QCD phase diagram and statistics friendly distributions
• Cumulants and factorial cumulants in the 3-dimensional Ising universality class
• Cumulants from short-range correlations and baryon number conservation - next-to-leading order
• Beam Energy Dependence of Fifth and Sixth-Order Net-proton Number Fluctuations in Au+Au Collisions at RHIC
• The time evolution of light nuclei cumulants and ratios with a first-order phase transition in the UrQMD transport model
• Fixed point behavior of cumulants in the three-dimensional Ising universality class
• QCD Critical Point and Net-Proton Number Fluctuations at RHIC-STAR