# Multiplicity moments of shifted Gompertz distribution in $e^{+}e^{-}$, $p\bar{p}$ and $pp$ collisions at high energies

## TL;DR

This paper analyzes charged particle multiplicity moments in high-energy collisions using the shifted Gompertz distribution, introducing a two-component model and predicting moments for future collider energies.

## Contribution

It presents the first analysis of multiplicity moments with the shifted Gompertz distribution and introduces a two-component superposition model for high-energy collision data.

## Key findings

- Normalized and factorial moments are successfully analyzed using the shifted Gompertz distribution.
- A two-component superposition model improves the fit to multiplicity data.
- Predictions for multiplicity moments at future collider energies are provided.

## Abstract

In continuation of our earlier work, in which we analysed the charged particle multiplicities in leptonic and hadronic interactions at different center of mass energies in full phase space as well as in restricted phase space with the shifted Gompertz distribution, a detailed analysis of the normalized and factorial moments is reported here. A two-component model in which probability distribution function is obtained from the superposition of two shifted Gompertz distributions introduced in our earlier work has also been used for the analysis. This is the first analysis of the moments with the shifted Gompertz distribution. Analysis has also been done to predict the moments of multiplicity distribution for the electron-positron collisions at c.m. energy of 500 GeV at a future Collider.