On Normalization of Strongly Intensive Quantities

Abstract

A special normalization is proposed for strongly intensive quantities used in the study of event-by-event fluctuations in high energy collisions. It ensures that these measures are dimensionless and yields a common scale required for a quantitative comparison of fluctuations of different, in general dimensional, extensive quantities. Namely, the properly normalized strongly intensive quantities assume the value one for fluctuations given by the model of independent particle production and zero in the absence of event-by-event fluctuations.

19 pages, 1 figure, minor editorial corrections included

References in corpus (6)

• Strongly Intensive Quantities
• Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations
• Statistical Ensembles with Fluctuating Extensive Quantities
• Statistical Ensembles with Volume Fluctuations
• Strongly Intensive Measures for Multiplicity Fluctuations
• Influence of Impact Parameter Fluctuations on Transverse Momentum Fluctuations

Cited by in corpus (29)

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• Multiplicity and transverse momentum fluctuations in inelastic proton-proton interactions at the CERN Super Proton Synchrotron
• Centrality fluctuations in heavy-ion collisions
• Cumulants of multiple conserved charges and global conservation laws
• Strongly Intensive Measures for Transverse Momentum and Particle Number Fluctuations
• Non-Gaussian particle number fluctuations in vicinity of the critical point for van der Waals equation of state
• Recent Developments in the Study of Deconfinement in Nucleus-Nucleus Collisions
• Recent results from NA61/SHINE
• Measurement of event-by-event transverse momentum and multiplicity fluctuations using strongly intensive measures $\Delta [P_T,N]$ and $\Sigma [P_T,N]$ in nucleus-nucleus collisions at the CERN Super Proton Synchrotron
• Critical versus spurious fluctuations in the search for the QCD critical point
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
• Search for the critical point by the NA61/SHINE experiment
• Statistical moments in superposition models and strongly intensive measures
• Strongly Intensive Measures for Particle Number Fluctuations: Effects of Hadronic Resonances
• Charge Conservation and Higher Moments of Charge Fluctuations
• Modeling net-charge fluctuations in heavy-ion collisions at the LHC
• Multibin correlations in a superposition approach to relativistic heavy-ion collisions
• Eliminating $volume$ fluctuations in fixed-target heavy-ion experiments
• Measurements of multiplicity fluctuations of identified hadrons in inelastic proton-proton interactions at the CERN Super Proton Synchrotron
• Pseudorapidity Window Size Dependence of Multiplicity Fluctuations in High-Energy Collisions with System Size and Beam Energies
• A Centrality-independent Framework for Revealing Genuine Higher-Order Cumulants in Heavy-Ion Collisions
• Energy and system size dependence of strongly intensive fluctuation measures in heavy-ion collisions at FAIR energies
• Event-by-event multiplicity fluctuations and correlations in ring-like and jet like events in ${}^{197}$Au-AgBr collisions at 11.6A GeV/c
• NA61/SHINE results on fluctuations and correlations in p+p and Be+Be interactions at CERN SPS energies
• Large-rapidity ridge correlations from Color Glass Condensate
• Influence of Backside Energy Leakages from Hadronic Calorimeters on Fluctuation Measures in Relativistic Heavy-Ion Collisions
• From p+p to Pb+Pb Collisions: Wounded Nucleon versus Statistical Models
• Long-range correlation studies at the SPS energies in MC model with string fusion
• CGC-induced longitudinal ridge in p-Pb collisions