We extract the polarized parton distribution functions (PPDFs) of proton. To this end we do a global analysis on recent and up-to-dated experimental data of polarized nucleon and deuteron structure functions at the NLO accuracy of perturbative QCD. We use the Jacobi polynomials expansion technique to do the required analyses. To achieve a more realistic estimation of the PPDFs and observable uncertainties we employ the Hessian error propagation. Following that we apply a theoretical approach which is based on imposing Lorentz structure in the parton model to investigate the transverse momentum dependence of these PPDFs. In this approach, the transverse momentum dependent (TMD) polarized parton distributions, which are also called the helicity distributions, are related to the integrated ones. This relation is indicating the priority and importance of data analysis for PPDFs. The results show a convenient general treatment expected for TMD densities which are in fact resulted from data analysis and fitting processes of integrated PPDFs in an adequate and a proper way.

我们提取质子的极化parton分布函数（PPDF）。为此，我们以扰动QCD的NLO精度对极化核子和氘核结构功能的最新和最新实验数据进行了全局分析。我们使用Jacobi多项式展开技术来进行所需的分析。为了实现对PPDF的更现实的估计和可观察到的不确定性，我们采用了Hessian误差传播。然后，我们在parton模型中应用一种基于强加洛伦兹结构的理论方法来研究这些PPDF的横向动量依赖性。在这种方法中，横向动量相关（TMD）极化的帕顿分布（也称为螺旋度分布）与积分分布有关。这种关系表明PPDF数据分析的优先级和重要性。结果表明，对TMD密度期望的一种方便的一般处理方法，实际上是由于以适当和适当的方式对集成PPDF进行数据分析和拟合过程而得到的。