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高能对数与LHC上的精度

High-energy logarithms and precision at the LHC

Jeppe R. Andersen, Sebastian Jaskiewicz, Andreas Maier, Jennifer M. Smillie

arXiv 2609.36023首次发表:更新:

发表机构

University of Durham; Universität Bern; The Henryk Niewodniczański Institute of Nuclear Physics; The University of Edinburgh(杜伦大学; 伯尔尼大学; 亨利克·涅沃德尼茨基核物理研究所; 爱丁堡大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对LHC上双喷注过程因高能对数导致的固定阶微扰论失效问题,提出通过高能对数重求和(HighEJ匹配固定阶)加以解决,并在Z+双喷注产生中验证了其能准确预测ATLAS测量的相关分布。

AI 中文摘要

我们解决了在LHC当前探索的能量下,涉及两个或更多喷注的过程因$s/p_t^2$中的对数而导致的固定阶微扰论失效问题。该问题以多种方式显现:某些运动学分布的微扰级数明显失效,其他分布出现高度不对称的标度变化,以及需要人为地增大重整化标度才能实现数值稳定性。正如我们所展示的,该问题通过高能对数的重求和得到解决。通常选择大的重整化标度$m_{j_1j_2}$并不能提供系统性的解决方案。这种固定阶预测的失效以$Z$+双喷注的产生为例进行了说明。我们表明,使用HighEJ匹配到固定阶获得的重求和预测,对于近期ATLAS测量中研究的所有相关分布都能给出准确的预测。

英文摘要

We address the breakdown of fixed-order perturbation theory due to logarithms in $s/p_t^2$ for processes involving two jets or more at the energies currently explored at the LHC. The problem manifests itself in various ways: an obvious breakdown of the perturbative series for some kinematic distributions, highly asymmetric scale variations in other distributions, and the need for an artificially large renormalisation scale to even achieve numerical stability. As we demonstrate, the problem is solved through the resummation of these high-energy logarithms. The customary choice of a large renormalisation scale of $m_{j_1j_2}$ offers no systematic resolution. This breakdown in fixed order predictions is illustrated for the production of $Z$+dijets. We show that resummed predictions obtained using \HighEJ matched to fixed order obtain accurate predictions for all the relevant distributions investigated in a recent ATLAS measurement.

论文原文

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