标题： 极化树级矩阵元的单重和双重未解析极限 显示英文标题

标题： Single- and double-unresolved limits of polarized tree-level matrix elements

摘要： 在QCD中，下一阶下一阶（NNLO）的独占截面计算需要对最多两个未解析部分子的红外奇异结构有解析理解。到目前为止，仅在非极化矩阵元中实现了这一点。我们推导了在Larin$\gamma_5$方案下，纵向极化树级QCD矩阵元在NNLO中的全部分裂振幅。它们是从类似DIS的过程提取的，并在更高多重性的矩阵元中进行了验证。我们的结果将使计算极化对撞机过程中纵向自旋不对称性的NNLO修正成为可能。 显示英文摘要

摘要： The calculation of exclusive cross sections at next-to-next-to-leading order (NNLO) in QCD requires an analytic understanding of the infrared singular structure with up to two unresolved partons. This has so far only been achieved for unpolarized matrix elements. We derive the full set of splitting amplitudes arising in longitudinally polarized tree-level QCD matrix elements at NNLO in the Larin $\gamma_5$ scheme. They are extracted from DIS-like processes, and are verified in matrix elements of higher multiplicity. Our results will enable the calculation of NNLO corrections to longitudinal spin asymmetries in polarized collider processes.