Extracting Event Dynamics from Event-by-Event Analysis

The problem of eliminating the statistical fluctuations and extracting the event dynamics from event-by-event analysis is discussed. New moments Gp (for continuous distribution), and Gq,p (for anomalous distribution) are proposed, which are experimentally measurable and can eliminate the Poissonian type statistical fluctuations to recover the dynamical moments Cp and Cq,p. In this way, the dynamical distribution of the event-averaged transverse momentum p̄t can be extracted, and the anomalous scaling of dynamical distribution, if exists, can be recovered, through event-by-event analysis of experimental data.