Dynamical fluctuations of pions in pp collisions at different LHC energies: an in-depth analysis with factorial correlator

This paper presents an analysis on the basis of factorial correlators and oscillatory multiplicity moments among the pions extracted from Monte Carlo (MC) generated PYTHIA(v8.3), AMPT(v2.26) and UrQMD(v3.4) models in pp collisions at different center-of-mass (c.m) energies \(\sqrt{s}=\) $\sqrt{s}=$ 2.76 – 13 TeV. During this investigation, we have found the presence of short-range correlation and our overall findings are accordant with the predictions of the \(\alpha\) $\alpha$ -model and \(\log\) $log$ -normal approximation which indicates the existence of intermittent nature of self-similar dynamical fluctuations. Short-range Correlation strength gradually decreases with the increase in collision energies from \(\sqrt{s}\) $\sqrt{s}$  = \(2.76-13\) $2.76-13$ TeV is observed. From the analysis of oscillatory multiplicity moments, the ratios \(H_q\) $H_q$ (cumulant over factorial moments \(K_q/F_q\) $K_q/F_q$ ) have been derived for each MC generated Model with LHC energies. It is extremely interesting to observe that the oscillations from PYTHIA and UrQMD are quite different from the AMPT model at \(\sqrt{s}\) $\sqrt{s}$  = 13 TeV.