Scaling Laws in Hierarchical Clustering Models with Poisson Superposition

Details Scaling Laws in Hierarchical Clustering Models with Poisson Superposition Scaling Laws in Hierarchical Clustering Models with Poisson Superposition

1994-03-08

arxiv.org/abs/hep-ph/9403245v1

Phys.Lett. B327 (1994) 171-178

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Plain TeX, no figures

Scientific paper

10.1016/0370-2693(94)91546-6

Properties of cumulant- and combinant ratios are studied for multihadron final states composed of Poisson distributed clusters. The application of these quantities to ``detect'' clusters is discussed. For the scaling laws which hold in hierarchical clustering models (void scaling, combinant scaling) a generalization is provided. It is shown that testing hierarchical models is meaningful only for phase-space volumes not larger than the characteristic correlation length introduced by Poisson superposition. Violation of the scaling laws due to QCD effects is predicted.

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