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arXiv 2205.02249hep-phhep-thnucl-th
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四圈QCD快度反常维数

The Four Loop QCD Rapidity Anomalous Dimension

Ian Moult, Hua Xing Zhu, Yu Jiao Zhu

摘要:

快度反常维度控制着Sudakov区域横向动量相关观测量的标度。在共形理论中,它等价于软反常维数,但在QCD中,这种关系被正比于$β$ -函数的反常项打破。在本文中,我们首先给出了一个简单的证明,这个关系使用两种不同的表示的能量-能量相关观测。然后通过计算$\mathcal{O}(ε)$的三圈全微分软函数来计算三圈的反常项。结合最近在壳层上形状因子和分裂函数的微扰数据,我们可以导出QCD中的四圈快度反常维数。

英文摘要:

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by anomalous terms proportional to the $β$-function. In this paper we first give a simple proof of this relation using two different representations of the energy-energy correlator observable. We then calculate the anomalous terms to three loops by computing the three-loop fully differential soft function to $\mathcal{O}(ε)$. Combined with recent perturbative data from the study of on-shell form factors and splitting functions, this allows us to derive the four loop rapidity anomalous dimension in QCD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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