arXiv 0802.29732008-02hep-ph

软共线有效理论中的Glauber胶子和Drell-Yan过程的因式分解

Glauber Gluons in Soft Collinear Effective Theory and Factorization of Drell-Yan Processes

F. Liu, J. P. Ma

备注：: An one-loop example to show the existence of glauber gluons is added, a corrected proof or argument for the decoupling of glauber gluons is given

摘要：

Drell-Yan过程中的Glauber胶子是一种软胶子，其横动量远大于初始强子方向上的动量分量。它们的存在性对证明Drell-Yan过程的分解是一个严峻的挑战。最近提出的QCD软共线效应理论可以提供一种透明的方法来显示一类过程的因子分解，但它没有考虑胶子的影响。在这封信中，我们首先通过一个例子证实了朗伯胶子的存在。然后，我们将胶子加入到有效理论中，并研究了它们与其他粒子的相互作用。在含双胶子的有效理论框架下，我们证明了双胶子在Drell-Yan过程中的作用被取消，并且在双胶子存在的情况下，因式分解成立。我们的工作在软共线有效理论的框架下完成了Drell-Yan过程因式分解的证明或论证。

英文摘要：

Glauber gluons in Drell-Yan processes are soft gluons with the transverse momenta much larger than their momentum components along the directions of initial hadrons. Their existence has been a serious challenge in proving the factorization of Drell-Yan processes. The recently proposed soft collinear effect theory of QCD can provide a transparent way to show factorizations for a class of processes, but it does not address the effect of glauber gluons. In this letter we first confirm the existence of glauber gluons through an example. We then add glauber gluons into the effective theory and study their interaction with other particles. In the framework of the effective theory with glauber gluons we are able to show that the effects of glauber gluons in Drell-Yan processes are canceled and the factorization holds in the existence of glauber gluons. Our work completes the proof or argument of factorization of Drell-Yan process in the framework of the soft collinear effective theory.

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