Describing dynamical fluctuations and genuine correlations by Weibull regularity

TL;DR

This paper demonstrates that Weibull distribution effectively models multidimensional fluctuations and genuine correlations in multiparticle production, outperforming traditional models like negative binomial in high-energy e+e- collision data.

Contribution

The study introduces Weibull parametrization as a superior model for describing multiplicity distributions and genuine correlations in multiparticle production.

Findings

Weibull model accurately reproduces multiplicity distributions.

Weibull outperforms negative binomial models in data fitting.

Weibull regularity effectively describes multiparticle correlations.

Abstract

The Weibull parametrization of the multiplicity distribution is used to describe the multidimensional local fluctuations and genuine multiparticle correlations measured by OPAL in the large statistics $e^{+}e^{-} \to Z^{0} \to hadrons$ sample. The data are found to be well reproduced by the Weibull model up to higher orders. The Weibull predictions are compared to the predictions by the two other models, namely by the negative binomial and modified negative binomial distributions which mostly failed to fit the data. The Weibull regularity, which is found to reproduce the multiplicity distributions along with the genuine correlations, looks to be the optimal model to describe the multiparticle production process.