Title : ( Analytical solutions of the QCD QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation )
Authors: Marzieh Mottaghizadeh , Seyyedeh Fatemeh Taghavi shahri , Parvin Eslami ,
Full TextAbstract
In this paper we present a new and efficient analytical solutions for evolving the QCD⊗QED 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 (Schmidt et al., 2016 [9]). The evolved parton distribution functions are in good agreement with CT14QED PDFs set and also with those from APFEL (Bertone et al., 2014 [7]) program. Finally, we derived the impact of the NLO QED corrections to the QCD⊗QED DGLAP evolution equations.
Keywords
QCD⊗QED DGLAP evolution equations Mellin moment Parton distribution functions
@article{paperid:1064395,
author = {Mottaghizadeh, Marzieh and Taghavi Shahri, Seyyedeh Fatemeh and Eslami, Parvin},
title = {Analytical solutions of the QCD QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation},
journal = {Physics Letters B},
year = {2017},
volume = {773},
number = {1},
month = {October},
issn = {0370-2693},
pages = {375--384},
numpages = {9},
keywords = {QCD⊗QED DGLAP evolution equations
Mellin moment
Parton distribution functions},
}
%0 Journal Article
%T Analytical solutions of the QCD QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation
%A Mottaghizadeh, Marzieh
%A Taghavi Shahri, Seyyedeh Fatemeh
%A Eslami, Parvin
%J Physics Letters B
%@ 0370-2693
%D 2017
