论文标题

部分可观测时空混沌系统的无模型预测

Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop

论文作者

Bertone, Valerio

论文摘要

利用了广义横向摩托明依赖性(GTMD)分布的操作者定义,以首次计算一个单循环校正到离线匹配函数的完整集。这些功能允许人们根据广义Parton分布(GPD)获得扰动制度中的GTMD。在非极化情况下,可以使用横向摩托明依赖性(TMD)分布的最新确定进行非扰动校正。 GTMD的进化效果非常遵循TMD的进化效果,因此可以轻松地考虑到近代到临时的对数精度。作为副产品,得出相关的单环异常维度,证实了先前的结果。作为一种实际应用,提出了特定类型的GTMD的数值结果,突出了一些显着特征。

The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to obtain GTMDs in the perturbative regime in terms of generalised parton distributions (GPDs). In the unpolarised case, non-perturbative corrections can be incorporated using recent determinations of transverse-momentum-dependent (TMD) distributions. Evolution effects for GTMDs closely follow those for TMDs and can thus be easily accounted for up to next-to-next-to-leading logarithmic accuracy. As a by-product, the relevant one-loop anomalous dimensions are derived, confirming previous results. As a practical application, numerical results for a specific kind of GTMDs are presented, highlighting some salient features.

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