Multiplicity distribution and normalized moments in p$-$p collisions at LHC in forward rapidity using Weibull model

TL;DR

This paper models charged particle multiplicity distributions in forward rapidity p-p collisions at LHC energies using Weibull distribution, analyzing moments to confirm KNO scaling violation and extending predictions to 13 TeV.

Contribution

It applies Weibull distribution to describe forward rapidity multiplicity data and calculates higher order moments, providing new insights into KNO scaling violation at high energies.

Findings

Weibull distribution fits multiplicity data well

Higher order moments indicate KNO scaling violation

Parameters estimated for 13 TeV collisions

Abstract

The measured charged particle multiplicity distribution in the forward rapidity region of the p$-$p collisions at $\sqrt{s}$ = 0.9 TeV, 7 TeV and 8 TeV at the LHC have been described using the Weibull distribution function. The higher order (up to $5^{th}$ order ) normalized moments and the factorial moments are also calculated using the extracted parameters. The multiplicity distributions in forward region are observed to be well described by the Weibull regularity and the higher order moment calculations confirm the violation of KNO scaling that has been observed at mid-rapidity and lower energies. The Weibull parameters and moments for p$-$p collisions at $\sqrt{s}$ = 13 TeV are also estimated for the forward region.