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On the physical DGLAP evolution of structure functions and its dependence on the renormalization scale

Physical anomalous dimensions are a formulation of the DGLAP evolution of Deep Inelastic structure functions which is independent of factorization scheme and -scale. In this proceedings we provide an outlook on possible applications, in particular in the search of saturation effects. As an original contribution we present a short study of the renormalization scale dependence of physical evolved structure functions for large initial scale $Q_0^2=30$GeV$^2$