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Using recent and updated world data on polarized structure functions $g_1$and $g_2$ we perform QCD analysis at the next-next-to-leading-order (NNLO)accuracy. We include also target mass correction and higher twist effect to getmore precise results in our fitting procedure. To confirm the validity of ourfitting results several sum rules are examined and we do a comparison for themwith results from other models. In our analysis we employ Jacobi polynomialsapproach to obtain analytical solutions of the DGLAP evolution equations forparton distribution functions (PDFs). Using the extracted PDFs from our dataanalysis as input we also compute the $x$- and $\mathbf{p}_{T}$-dependence ofsome transverse momentum dependence (TMD) PDFs in polarized case, based oncovariant parton model. These functions are naively even time-reversal (T-even)at twist-2 approximation. The results for TMDs are indicating proper andacceptable behaviour with respect to what are presented in other literatures.

physical review. d/physical review. d.

Nucleon spin structure functions, considering target mass correction and  higher twist effects at the NNLO accuracy and their transverse momentum  dependence