Analytical solution of the \textit{DGLAP} equations using the generating function method

DOI10.1016/j.physletb.2022.137472OpenAlexW4300981072MaRDI QIDQ2090034

L. Asgari, Morteza Lotfi Parsa, N. Olanj

Publication date: 24 October 2022

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physletb.2022.137472

zbMATH Keywords

stochastic modelingMarkov processgenerating function methodnon-equilibrium statistical mechanicsparton distribution function\(DGLAP\) equation

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Unnamed Item
• Analytical solutions of the QCDED\(\otimes\)DGLAP evolution equations based on the Mellin transform technique in NLO approximation
• Comparison of analytical solution of DGLAP equations for \(F_2^{\text{NS}}(x,t)\) at small \(x\) by two methods
• Extracting the parton distribution functions evolution equations using the stochastic modeling in the non-equilibrium statistical mechanics
• Parton distributions for the LHC
• Solution of \(\mathrm{QCD}\otimes\mathrm{QED}\) coupled DGLAP equations at NLO
• Low Q ² boundary conditions for DGLAP equations dictated by quantum statistical mechanics
• Stochastic Numerical Methods

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