# Modified Tsallis and Weibull distributions for multiplicities in e+e- collisions

## TL;DR

This paper evaluates the effectiveness of modified Tsallis and Weibull distributions in modeling charged particle multiplicities in e+e- collisions across various energies and phase space regions.

## Contribution

It introduces modifications to the Tsallis and Weibull distributions to improve their fit to multiplicity data in e+e- collisions.

## Key findings

- Tsallis q-statistics fits data well across all rapidity ranges.
- Weibull distribution fails to fit data in full phase space.
- Modified distributions show significant improvements in data fitting.

## Abstract

Multiplicity distributions of charged particles produced in the e^{+}e^{-} collisions at energies ranging from 14 to 91 GeV are studied using Tsallis q-statistics and the recently proposed Weibull distribution functions, in both restricted rapidity windows as well as in full phase space. It is shown that Tsallis $q$-statistics explains the data excellently in all rapidity ranges while the Weibull distribution fails to reproduce the data in full phase space. Modifications to the distributions are proposed to establish manifold improvements in the fitting of the data.