Analytical solutions of the QCD$\otimes$QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation

Abstract

In this paper we present a new and efficient analytical solutions for evolving the QED$\otimes$QCD DGLAP evolution equations in mellin space and obtain the parton distribution functions (PDFs) in perturbative QCD including the QED corrections. The validity of our analytical solutions, which have done in the next to leading order QCD and the leading order QED approximations, are checked with the initial parton distributions from newly released CT14QED global analysis code (Phys. Rev.D93,114015(2016)). The evolved parton distributions are in good agreement with CT14QED code and also with those from APFEL (Computer Physics Communications 185, 1647 (2014)) program.

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• QCD$\times$QED evolution of TMDs
• Parton distribution functions with QED corrections in the valon model
• QED corrections to parton distributions and Altarelli-Parisi splitting functions in the polarized case
• Analytic derivation of the non-linear gluon distribution function
• Global Analyses of Generalized Parton Distributions with Diverse PDF Inputs