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

Abstract

Multifractal analysis was performed on pp collision data at √ 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 Dq and the multifractal spectra f (α) of the data, which reveals the level of complexity of its pseudorapidity distribution. It was found that the f (α) curves widen with increasing collision energy, signalling an increase in branching complexity. Multifractal formalism for multiparticle productionMultifractal analysis is a powerful tool used to characterise the complexity of data. It is highly multidisciplinary in nature, finding applications in the analysis of a wide variety of complex systems, such as studying tectonic processes [1], medical signal analysis [2] and time series analysis in meteorology [3]. Here, we re-introduce a formalism tailored for investigating multiparticle production, as formulated by Hwa [4]. As with the original formulations, rapidity y will be used in the presentation, but will be substituted with pseudorapidity η when processing the data.