Analysis of multiparticle production using split-bin correlation functions

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Abstract
We discuss the study of correlations in multiparticle processes, using split-bin correlation functions (SBCF's). We show how SBCF's can be used to study different production mechanisms, such as production via jetlike or resonancelike sources. We illustrate some possibilities with calculations of various SBCF's in simple models. One of the main advantages of SBCF's is the possibility of using transverse-energy correlations as well as multiplicity correlations in order to differentiate the various mechanisms of particle production. We show that in general the transverse-energy SBCF's and the multiplicity SBCF's are very similar, but also discuss some models for which these calsses of SBCF's will be different. Finally, we provide useful formulas for the analysis of SBCF data using simple analytic models, including effects due to curvature of the single-particle distribution.