Novel Features of Multiplicity Distributions in QCD and Experiment

Abstract

The solution of QCD equations for generating functions of multiplicity distributions reveals new peculiar features of cumulant moments oscillating as functions of their rank. This prediction is supported by experimental data on $e^{+}e^{-}, hh, AA$ collisions. Evolution of the moments at smaller phase space bins leads to intermittency and fractality. The experimentally defined truncated generating functions possess zeros in the complex plane of the auxiliary variable recalling Lee-Yang zeros in statistical mechanics.