Solution of QCD$\otimes$QED coupled DGLAP equations at NLO

Abstract

In this work, we present an analytical solution for QCD$\otimes$QED coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at the leading order (LO) accuracy in QED and next-to-leading order (NLO) accuracy in perturbative QCD using double Laplace transform. This technique is applied to obtain the singlet, gluon and photon distribution functions and also the proton structure function. We also obtain contribution of photon in proton at LO and NLO at high energy and successfully compare the proton structure function with HERA data \cite{12} and APFEL results \cite{7}. Some comparisons also have been done for the singlet and gluon distribution functions with the MSTW results\cite{9}. In addition, the contribution of photon distribution function inside the proton has been compared with results of MRST \cite{11} and with the contribution of sea quark distribution functions which obtained by MSTW \cite{9} and CTEQ6M \cite{14}.

23 pages, 11 figurs

References in corpus (4)

• Parton distributions for the LHC
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• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
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Cited by in corpus (10)

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• Analytical solutions of the QCD$\otimes$QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation
• Phenomenology of leading nucleon production in $ep$ collisions at HERA in the framework of fracture functions
• Longitudinal structure function from the parton parameterization
• On phenomenological study of the solution of nonlinear GLR-MQ evolution equation beyond leading order
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• Parton distribution functions with QED corrections in the valon model
• Analytic derivation of the non-linear gluon distribution function
• Global Analyses of Generalized Parton Distributions with Diverse PDF Inputs