Model independent analysis of nearly L\'evy correlations
Data Analysis, Statistics and Probability
2016-04-27 v1 High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
Abstract
A model-independent method for the analysis of the two-particle short-range correlations is presented, that can be utilized to describe e.g. Bose-Einstein (HBT), dynamical (ridge) or other correlation functions, that have a nearly L\'evy or streched exponential shape. For the special case of L\'evy exponent alpha = 1, the earlier Laguerre expansions are recovered, for the alpha = 2 special case, a new expansion method is obtained for nearly Gaussian correlation functions. Multi-dimensional L\'evy expansions are also introduced and their potential application to analyze rigde correlation data is discussed.
Keywords
Cite
@article{arxiv.1604.05513,
title = {Model independent analysis of nearly L\'evy correlations},
author = {T. Novák and T. Csörgő and H. C. Eggers and M. de Kock},
journal= {arXiv preprint arXiv:1604.05513},
year = {2016}
}