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

TL;DR

This paper discusses the scheme-independent formulation of DGLAP evolution of structure functions, explores its potential in saturation physics, and examines how renormalization scale choices affect evolved functions at high initial scales.

Contribution

It introduces a study of the renormalization scale dependence of physical structure functions within the scheme-independent DGLAP framework.

Findings

Renormalization scale significantly influences evolved structure functions at large initial scales.

Scheme-independent approach offers potential advantages in analyzing saturation effects.

Preliminary results suggest robustness of physical anomalous dimensions against scale variations.

Abstract

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$^2$