AI 中文总结
本文回顾单Pomeron圈的推导并数值计算其修正,未证实2013年研究结果,发现其在特定条件下可提供24%-39%的修正。
AI 中文摘要
众所周知,只要开始考虑对单Pomeron交换的修正,即基于Balitsky-Fadin-Kuraev-Lipatov演化方程的高能重求和,Pomeron圈就会自然作为高能散射振幅的组成部分出现。一些作者认为Pomeron圈仅提供极小的修正,而2013年的一项研究发现,完整的QCD Pomeron圈会提供大的修正,在LHC能量下已可超过单Pomeron的贡献。本文仔细回顾了单Pomeron圈的推导,并利用Korchemsky给出的三Pomeron顶点表示对所得表达式进行数值计算。我们未证实2013年研究的结果,但发现在当前可获取的最小x值及非微扰边界处的硬标度下,Pomeron圈可提供24%-39%的修正。
英文摘要
Pomeron loops are known to arise naturally as building blocks of high energy scattering amplitudes as soon as one starts to consider corrections to single Pomeron exchange, i.e. to high energy resummation based on the Balitsky-Fadin-Kuraev-Lipatov evolution equation. While some authors argue that Pomeron loops provide only very small corrections, a 2013 study found that the complete QCD Pomeron loop provides a large correction, which can exceed the single Pomeron contribution already at LHC energies. In this paper we carefully review the derivation of the single Pomeron loop and evaluate the resulting expression numerically, making use of a representation of the triple Pomeron vertex by Korchemsky. While we do not confirm the findings of the 2013 study, we find that the Pomeron loop can provide a 24%-39% correction at lowest currently accessible values of $x$ and hard scales at the non-perturbative boundary.
Comments24 pages, 4 figures