In this paper, we present {\tt SMKA18} analysis which is a first attempt to extract the set of next-to-next-leading-order (NNLO) spin-dependent parton distribution functions (spin-dependent PDFs) and their uncertainties determined through the Laplace transform technique and Jacobi polynomial approach. Using the Laplace transformations, we present an analytical solution for the spin-dependent Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NNLO approximation. The results are extracted using a wide range of proton g1p(x,Q2), neutron g1n(x,Q2) and deuteron g1d(x,Q2) spin-dependent structure functions dataset including the most recent high-precision measurements from {\tt COMPASS16} experiments at CERN which are playing an increasingly important role in global spin-dependent fits. The careful estimations of uncertainties have been done using the standard 'Hessian error' propagation. We will compare our results with the available spin-dependent inclusive deep inelastic scattering dataset and other results for the spin-dependent PDFs in literature. The results obtained for the spin-dependent PDFs as well as spin-dependent structure functions are clearly explained both in the small and large values of x.
@article{arxiv.1801.04471,
title = {Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation},
author = {Maral Salajegheh and S. Mohammad Moosavi Nejad and Hamzeh Khanpour and S. Atashbar Tehrani},
journal= {arXiv preprint arXiv:1801.04471},
year = {2018}
}