Multifractal behaviour in multiparticle production in $pp$ collisions at $\sqrt{s}=$ 0.9, 7 and 8 TeV from the CMS experiment

TL;DR

This study applies multifractal analysis to proton-proton collision data at various energies from the CMS experiment, revealing increased complexity in particle distribution with higher collision energies.

Contribution

It introduces a multifractal analysis approach to high-energy collision data, highlighting energy-dependent changes in the pseudorapidity distribution complexity.

Findings

Wider multifractal spectra at higher energies

Increased branching complexity with energy

Multifractal properties vary with collision energy

Abstract

Multifractal analysis was performed on $pp$ collision data at $\sqrt{s}=$ 0.9, 7 and 8 TeV from the CMS experiment at CERN. The data was obtained and processed from the CERN Open Data Portal. Vertical analysis was used to compute the generalised dimensions $D_q$ and the multifractal spectra $f(\alpha)$ of the data, which reveals the level of complexity of its pseudorapidity distribution. It was found that the $f(\alpha)$ curves widen with increasing collision energy, signalling an increase in branching complexity.