论文标题
夸克伪和准PDF的小X行为
Small-x behavior of quark pseudo- and quasi-PDFs
论文作者
论文摘要
通过类似太空的分离的双腹操作员定义的伪PDF和准PDF可以直接访问来自晶格量规理论中的第一原理Parton分布函数（PDFS）。然而，这种形式主义使小的bjorken $ x $政权无法访问。鉴于未来的电子离子对撞机，对PDF的研究很小。因此，我们以高能极限计算夸克伪和准PDF，并表明它们具有相当不同的行为。特别是，我们表明，夸克pseudo-pdf具有预期的小$ x $上升行为，而准pdf在此制度下变得不明确。此外，我们还为两个分布中的每个分布都获得了领先和临近领先的扭转校正。对于伪PDF，尽管前两个扭曲校正遵循与BFKL重新调整的相同的小$ x $行为，但意外的是，次次领先的校正似乎只是相对于领先者的一个小转变。与伪PDF不同，准PDF以小$ x $表现出相当不寻常的行为。
The pseudo- and the quasi-PDFs defined through space-like separated bilocal operators allow direct access to the parton distribution functions (PDFs) from first principles within lattice gauge theory. This formalism, however, leaves the small Bjorken $x$ regime inaccessible. In view of the future Electron-Ion Collider, the study of the PDFs at small-$x$ is timely. For this reason, we calculate the quark pseudo- and quasi-PDF in the high-energy limit and show that they have rather different behavior. In particular, we show that the quark pseudo-PDF has the expected small-$x$ rising behavior while the quasi-PDF becomes ill-defined at this regime. Moreover, we also obtain the leading and next-to-leading twist corrections for each of the two distributions. For the pseudo-PDF, although the first two twist corrections follow the same small-$x$ behavior as the one with BFKL resummation, unexpectedly, the next-to-leading correction appears to be only a small shift with respect to the leading one. Unlike the pseudo-PDF, the quasi-PDF exhibits rather unusual behavior at small-$x$.
