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用 Mellin 变换对标近侧能量-能量关联函数

Benchmarking the Nearside Energy-Energy Correlators with Mellin Transform

Yuxun Guo, Feng Yuan

arXiv 2607.09860首次发表:更新:

AI 中文总结

研究小角度下近侧能量-能量关联函数,借助 Mellin 变换框架纳入 QCD 标度行为,单个参数 Λ 能出色描述 $e^+e^-$湮灭中的近侧 EECs,涵盖相关分析与测量,有高精度和重求和。

AI 中文摘要

我们研究小角度下的近侧能量-能量关联函数(EECs),通过 Mellin 变换框架在微扰和禁闭后区域明确纳入 QCD 标度行为。作为示例,我们表明,表征两个区域间转变尺度的单个参数 Λ,能以次下-次领头阶精度和次下-次领头对数重求和,出色地描述 $e^+e^-$ 湮灭中的近侧 EECs,涵盖近期 ALEPH 分析及不同能量下的早期测量。

英文摘要

We investigate nearside energy-energy correlators (EECs) at small angles, explicitly incorporating the QCD scaling behavior in both the perturbative and post-confinement regimes through a Mellin-transform framework. As an illustration, we show that a single parameter, $Λ$, characterizing the transition scale between the two regimes, provides an excellent description of nearside EECs in $e^+e^-$ annihilation, including the recent ALEPH analysis as well as earlier measurements across different energies, with next-to-next-to-leading-order accuracy and next-to-next-to-leading-logarithmic resummation.

Comments8 pages, 4 figures

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