Is there anomalous scaling in multiparticle final states of high energy collisions?

Abstract

The experimental results on factorial moments (FM's) in different phase space dimensions are examined in some detail. The general trends of one- and three-dimensional FM's and the complexity of the two-dimensional ones are pointed out. It is shown that all the complicated patterns of FM's in different dimensions can be understood comprehensively under the assumption of self-affine fluctuations in 3D, which means that anomalous scaling of FM's may exist in multiparticle final states provided the shrinkage of phase space is done correctly according to the anisotropic property of multiplicity fluctuations.