Beyond KNO: multiplicative cascades and novel multiplicity scaling laws

The collapse of multiplicity distributions Pn onto a universal scaling curve arises when Pn is expressed as a function of the standardized multiplicity (n−c)/λ with c and λ being location and scale parameters governed by leading particle effects and the growth of average multiplicity. It is demonstrated that self-similar multiplicative cascade processes such as QCD parton branching naturally lead to a novel type of scaling behavior of Pn which manifests itself in Mellin space through a location change controlled by the degree of multifractality and a scale change governed by the depth of the cascade. Applying the new scaling rule it is shown how to restore data collapsing behavior of Pn measured in hh collisions at ISR and SPS energies.