Multiscaling in the hadronization in high energy collisions

We study the multiscaling in the fluctuations of multiparticle distributions at small scales. Similarly to the multiscaling effect, recently found in multifractal models, we analyse the dependence of the strength of the fluctuations on the low density cut-off in the cascade. The effect changes the scaling behaviour and leads to stronger dependence of the scaled factorial moments on the resolution than the power law. This could be an explanation of the behaviour observed recently in the experimental 3-dimensional data on the scaled factorial moments. The multiscaling analysis allows to restore the universality in the processes with different cut-offs and could be used in the analysis of the experimental data.