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QED corrections to the Altarelli-Parisi splitting functions

Abstract

We discuss the combined effect of QED and QCD corrections to the evolution of parton distributions. We extend the available knowledge of the Altarelli-Parisi splitting functions to one order higher in QED, and provide explicit expressions for the splitting kernels up to . The results presented in this article allow to perform a parton distribution function analysis reaching full NLO QCD-QED combined precision.