Multiparton correlations and fractal structure in QCD jets

Abstract

Angular correlation functions for an arbitrary number of partons are derived from a recursive scheme in the double log approximation. For partons in a sideways cone we calculate the normalised multiplicity moments and obtain the fractal dimension D q = [( q+1)/ q] γ 0 where γ 0 = √6 α s / π is the anomalous dimension controlling the energy dependence of the total multiplicity. At very high energies these observables scale according to a known function of a single variable. A systematic approach to finite energies is presented.