Decoupling the NLO-coupled QED circle times QCD, DGLAP evolution equations, using Laplace transform method

作者：Mottaghizadeh Marzieh; Eslami Parvin^*; Taghavi Shahri Fatemeh

来源：International Journal of Modern Physics A, 2017, 32(14): 1750065.

DOI：10.1142/S0217751X17500658

• Quantum chromodynamics
• quantum electrodynamics
• perturbative calculations
• phenomenological quark models

We analytically solved the QED. QCD-coupled DGLAP evolution equations at leading order (LO) quantum electrodynamics (QED) and next-to-leading order (NLO) quantum chromodynamics (QCD) approximations, using the Laplace transform method and then computed the proton structure function in terms of the unpolarized parton distribution functions. Our analytical solutions for parton densities are in good agreement with those from CT14QED (1.295(2) < Q(2) < 10(10)) (Ref. 6) global parametrizations and APFEL (A PDF Evolution Library) (2 < Q(2) < 10(8)) (Ref. 4). We also compared the proton structure function, F-2(p) (x, Q(2)), with the experimental data released by the ZEUS and H1 collaborations at HERA. There is a nice agreement between them in the range of low and high x and Q(2).

• 出版日期2017-5-20