论文标题
核子自旋结构功能,考虑目标质量校正和在NNLO精度下的较高扭曲效应及其横向动量依赖性
Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence
论文作者
论文摘要
使用最新和更新的世界数据函数$ g_1 $和$ g_2 $我们在下一个接头订单(NNLO)的精度上执行QCD分析。我们还包括目标质量校正和更高的扭曲效果,以在我们的拟合程序中获得更精确的结果。为了确认我们拟合结果的有效性,检查了一些总和规则,我们将其与其他模型的结果进行比较。在我们的分析中,我们采用Jacobi多项式方法来获得Parton分布函数(PDFS)的DGLAP演化方程的分析解。使用从我们的数据分析中提取的PDF作为输入,我们还计算了$ x $ - 和$ \ mathbf {p} _ {t} $ - 基于COVARIANT PARTON模型,在极化情况下某些横向动量依赖(TMD)PDF的依赖性。这些函数在扭曲2近似下均匀的时间反转(t-e)。 TMD的结果表明与其他文献有关的结果适当且可接受的行为。
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 get more precise results in our fitting procedure. To confirm the validity of our fitting results several sum rules are examined and we do a comparison for them with results from other models. In our analysis we employ Jacobi polynomials approach to obtain analytical solutions of the DGLAP evolution equations for parton distribution functions (PDFs). Using the extracted PDFs from our data analysis as input we also compute the $x$- and $\mathbf{p}_{T}$-dependence of some transverse momentum dependence (TMD) PDFs in polarized case, based on covariant parton model. These functions are naively even time-reversal (T-even) at twist-2 approximation. The results for TMDs are indicating proper and acceptable behaviour with respect to what are presented in other literatures.