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arXiv 1601.03093hep-phnucl-th
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半包容深度非弹性散射和Drell-Yan过程中的快度调节子

Rapidity regulators in the semi-inclusive deep inelastic scattering and Drell-Yan processes

Sean Fleming, Ou Z. Labun

备注：
47 pages, 7 figures
发表信息：
Phys. Rev. D 95, 114020 (2017)
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摘要：

我们研究了软共线有效理论中深度非弹性散射和Drell-Yan（DY）过程的半包含极限。在这种情况下，必须对所谓的阈值微扰进行图解，以使微扰理论表现良好。这种再确认的一部分是通过Dokshitzer，Gribov，Lipatov，Altarelli，Parisi（DGSTO）方程发生的，该方程在阈值处包含一个大对数，这对反常维度的收敛提出了质疑。在这里，我们证明了有问题的对数与快度发散有关，并通过引入快度调节器可以驯服。我们表明，重新定义的快度函数，使我们能够重现标准的DGstrom运行在阈值，只要一组潜在的大的非微扰函数被吸收到的部分子分布函数（PDF）的定义。反过来，这些术语可以解释PDF在端点中的急剧下降。然后，我们继续表明，重申的快度分歧不会改变标准的阈值重申DY，也不依赖于我们选择使用的快度调节器，我们的结果。

英文摘要：

We study the semi-inclusive limit of the deep inelastic scattering and Drell-Yan (DY) processes in soft collinear effective theory. In this regime so-called threshold logarithms must be resummed to render perturbation theory well behaved. Part of this resummation occurs via the Dokshitzer, Gribov, Lipatov, Altarelli, Parisi (DGLAP) equation, which at threshold contains a large logarithm that calls into question the convergence of the anomalous dimension. We demonstrate here that the problematic logarithm is related to rapidity divergences, and by introducing a rapidity regulator can be tamed. We show that resumming the rapidity logarithms allows us to reproduce the standard DGLAP running at threshold as long as a set of potentially large non-perturbative logarithms are absorbed into the definition of the parton distribution function (PDF). These terms could, in turn, explain the steep fall-off of the PDF in the endpoint. We then go on to show that the resummation of rapidity divergences does not change the standard threshold resummation in DY, nor do our results depend on the rapidity regulator we choose to use.

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