# Weibull Distribution and the multiplicity moments in $pp\,(p\bar{p})$ collisions

## TL;DR

This paper uses Weibull distribution to analyze multiplicity moments in proton-proton and proton-antiproton collisions at SPS and LHC energies, successfully reproducing observed data features and predicting moments at 13 TeV.

## Contribution

It introduces a Weibull distribution-based method for analyzing multiplicity moments, capturing KNO scaling breaking and providing predictions at higher energies.

## Key findings

- Weibull moments agree with experimental data up to 5th order.
- The method reproduces the breaking of KNO scaling.
- Predictions for 13 TeV collisions are provided.

## Abstract

A higher moment analysis of multiplicity distribution is performed using the Weibull description of particle production in $pp\,(p\bar{p})$ collisions at SPS and LHC energies. The calculated normalized moments and factorial moments of Weibull distribution are compared to the measured data. The calculated Weibull moments are found to be in good agreement with the measured higher moments (up to 5$^{\rm{th}}$ order) reproducing the observed breaking of KNO scaling in the data. The moments for $pp$ collisions at $\sqrt{s}$ = 13 TeV are also predicted.