Multiplicity distributions for $e^{+}e^{-}$ collisions using Weibull distribution

TL;DR

This paper demonstrates that the Weibull distribution effectively models charged particle multiplicity in electron-positron collisions, fitting experimental data and predicting outcomes at higher energies.

Contribution

It introduces the Weibull distribution as a new approach to describe multiplicity distributions in $e^{+}e^{-}$ collisions and validates its effectiveness with experimental data.

Findings

Weibull distribution fits experimental multiplicity data well.

The model successfully predicts multiplicity at future collider energies.

Weibull parameters correlate with particle production processes.

Abstract

The two parameters Weibull function is used to describe the charged particle multiplicity distribution in $e^{+}e^{-}$ collisions at the highest available energy measured by TASSO and ALEPH experiments. The Weibull distribution has wide applications in naturally evolving processes based on fragmentation and sequential branching. The Weibull model describes the multiplicity distribution very well, as particle production processes involve QCD parton fragmentation. The effective energy model of particle production was verified using Weibull parameters and the same was used to predict the multiplicity distribution in $e^{+}e^{-}$ collisions at future collider energies.