2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202683The shoulder structure of charged particles multiplicity distributions (MD's) in full phase space in $e^+e^-$ annihilation at the $Z_0$ peak and the quasi-oscillatory behavior of the ratio of factorial cumulants over factorial moments, $H_q$, as a function of the order $q$, are quantitatively reproduced within a simple parametrization of the MD in terms of a weighted superposition of two Negative Binomial Distributions, associated to two- and multi-jet production, i.e., to hard gluons radiation.LaTeX, 13 pages including 2 Postscript figures, uses epsfig.styHigh Energy Physics - PhenomenologyCommon origin of the shoulder in multiplicity distributions and of oscillations in the factorial cumulants to factorial moments ratiotext