2019/04/30 by Maral Salajegheh, S. Mohammad Moosavi Nejad, Abolfazl Mirjalili +2
Mathematics · Physics and Astronomy · #Distribution (mathematics) #Distribution function #High-Energy Particle Collisions Research #Laplace transform #Mathematical analysis #Mathematics #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbative QCD #Physics #Proton #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Structure function #Valence (chemistry) #hep-ph
paper · pdf · doi:10.1140/epjp/s13360-020-00490-w
published as Eur. Phys. J. Plus (2020) 135:477 · 16 pages,6 figures, 5 table
openalex publication_date 2020/06/01 · arxiv created 2020/06/03 · arxiv updated 2020/06/09 · openalex created_date 2020/06/12 · openalex updated_date 2026/08/05
In this work, using the Laplace transformation technique we present our results for non-singlet quark distributions as well as nucleon structure function F2(x,Q2) in unpolarized case at next-to-next-to-leading order (NNLO) QCD accuracy. We shall particularly compare our results for the sets of valence-quark parton distribution functions with the contemporary collaborations like CT14, CT18, MMHT14, MKAM16 and NNPDF. To construct the nucleon structure function we employ the expansion of Jacobi polynomials which is a suitable transform to convert the results of non-singlet structure function from the Laplace s-space to Bjorken x-space. We shall also consider the contributions of target mass correction as well as the higher twist effects at large-x region for the proton and deuteron structure functions. Our results for the unpolarized quark distribution functions and nucleon structure functions are in good agreement with recent theoretical models and available experimental data.