KNO scaling 30 years later

Abstract

KNO scaling, i.e. the collapse of multiplicity distributions P_n onto a universal scaling curve manifests when P_n is expressed as the distribution of the standardized multiplicity (n-c)/lambda with c and lambda being location and scale parameters governed by leading particle effects and the growth of average multiplicity. At very high energies, strong violation of KNO scaling behavior is observed (p-pbar) and expected to occur (e+e-). This challenges one to introduce novel, physically well motivated and preferably simple scaling rules obeyed by high-energy data. One possibility what I find useful and which satisfies the above requirements is the repetition of the original scaling prescription (shifting and rescaling) in Mellin space, that is, for the multiplicity moments' rank. This scaling principle is discussed here, illustrating its capabilities both on model predictions and on real data.

8 pages LaTeX, 9th Int. Workshop on Multiparticle Production, Torino, Italy

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• Study of KNO scaling in pp collisions at $\sqrt{s}$ from 0.9 to 13 TeV using results of the ATLAS at the LHC
• Dielectron Production in Heavy Ion Collisions at 158 GeV/c per Nucleon
• Charged-particle production as a function of the relative transverse activity classifier in pp, p$-$Pb, and Pb$-$Pb collisions at the LHC
• Multiplicity distribution of gluons in pQCD