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高能QCD唯象学中的次领头阶BFKL本征函数

High-energy QCD phenomenology with next-to-leading order BFKL eigenfunctions

Ada Polizzi, Michael Fucilla, Alessandro Papa

arXiv 2609.17259首次发表:更新:

AI 中文总结

本文探讨了BFKL核的次领头阶本征函数在高能QCD唯象学中的应用,通过比较两种等价表示,旨在利用NLO本征函数改善高能可观测量的稳定性,并应用于轻矢量介子电产生和Mueller-Navelet喷注产生。

AI 中文摘要

我们讨论了Balitsky-Fadin-Kuraev-Lipatov(BFKL)核的次领头阶(NLO)本征函数的唯象学应用。首先回顾高能散射振幅的BFKL表示,以及本征函数在格林函数谱表示中所起的作用。然后比较次领头对数近似(NLLA)振幅的两种等价表示,分别基于领头阶(LO)和NLO本征函数。这两种表述在NLLA范围内是等价的,但在此精度之外的项上存在差异,这些项可能影响高能可观测量的唯象稳定性。目的是测试NLO本征函数诱导的项在改善这种稳定性方面的可能作用,讨论振幅对重整化标度和能量标度的依赖。作为应用,我们首先考虑两个轻矢量介子的前向电产生,然后评论对Mueller-Navelet喷注产生的初步应用。

英文摘要

We discuss the phenomenological use of the next-to-leading order (NLO) eigenfunctions of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel. We first recall the BFKL representation of high-energy scattering amplitudes and the role played by the eigenfunctions in the spectral representation of the Green's function. We then compare two equivalent representations of the next-to-leading logarithmic approximation (NLLA) amplitude, respectively based on the leading-order (LO) and NLO eigenfunctions. The two formulations are equivalent within NLLA, while differing by terms beyond this accuracy which could influence the phenomenological stability of high-energy observables. The aim is to test the possible role of NLO eigenfunctions-induced terms in improving this stability, discussing the amplitude dependence on the renormalization and energy scales. As an application, we consider first the forward electroproduction of two light vector mesons and then we comment on preliminary applications to Mueller-Navelet jet production.

Comments7 pages, 2 figures, proceeding DIS 2026

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