AI 中文总结
该研究在单圈精度下推导了胶子TMD的匹配关系，包括树级扭曲3和单圈扭曲2的质量修正，首次给出worm-gear T分布的Wandzura-Wilczek关系。
AI 中文摘要
我们提出了关于胶子横动量依赖部分子分布函数（TMD）在单圈精度下的匹配关系的新结果。在树级，利用旋量形式，我们获得了这些关系到扭曲3精度的关系，涵盖T-偶和T-奇分布，并包括强子质量修正。在单圈阶，我们将部分子内部分子方法扩展到小-$b$展开中包含更高扭曲算符。因此，我们首次推导了worm-gear T分布的Wandzura-Wilczek关系，并建立了一种在单圈和扭曲2精度下包含质量修正的系统方法。
英文摘要
We present new results on the matching relations for gluon transverse momentum dependent parton distribution functions up to one-loop accuracy. At tree-level, employing the spinor formalism, we obtain these relations up to twist 3 accuracy for both T-even and T-odd distributions, including the hadron-mass corrections. At one-loop order, we extend the parton-in-parton approach to include higher-twist operators in the small-$b$ expansion. As a result, we derive for the first time the Wandzura-Wilczek relation for the worm-gear T distributions and establish a systematic method to include mass corrections at one-loop and twist-2 accuracies.
Comments5 pages, 1 table, proceedings of the 33rd International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2026), 4-8 May 2026, Bologna, Italy
