arXiv 2301.008602023-01hep-ph

e^+e^-湮灭中双喷注方位角退关联

Dijet azimuthal decorrelation in $e^+e^-$ annihilation

Hana Benslama, Yazid Delenda, Kamel Khelifa-Kerfa

备注：: 14 pages, 8 figures, published version
发表信息：: Physics Letters B 840 (2023) 137903
DOI：: 10.1016/j.physletb.2023.137903

AI总结：

本文研究了e^+e^-双喷注事件中方位角退关联分布的非全局与聚类对数效应，在广义k_t算法框架下计算了全局单对数及有限N_c下至四圈的非全局和聚类对数，并利用Gnole程序实现NLL精度重求和，发现非全局对数对反k_t算法影响显著而对k_t算法影响较小。

摘要：

我们研究了e^+e^-→双喷注事件中两喷注之间方位角退关联分布中的非全局对数和聚类对数，其中喷注在广义k_t算法中使用E方案重组定义。我们在单圈和所有阶上计算了该观测量分布中的主导全局单对数。我们还在有限N_c下计算了固定阶至四圈的非全局对数和聚类对数，并在大N_c近似下对它们进行了数值重求和至所有阶。我们将O(α_s)和O(α_s^2)的结果与EVENT2固定阶蒙特卡洛程序的结果进行了比较，发现方位角退关联分布的主导奇异行为一致。我们发现非全局对数对反k_t算法中重求和分布的影响是显著的，而在k_t算法中则显著较小。此外，k_t算法中聚类对数与非全局对数合并后对分布的影响甚至更小。最后，我们使用Gnole程序计算了NLL精度的重求和分布，从而实现了该量重求和的最新精度。

英文摘要：

We examine non-global and clustering logarithms in the distribution of the azimuthal decorrelation between two jets in $e^+e^-\to$ dijet events, where the jets are defined with $E$-scheme recombination in the generalized $k_t$ algorithm. We calculate at one loop and to all orders the leading global single logarithms in the distribution of the said observable. We also compute at fixed order up to four loops at finite $N_c$ the non-global and clustering logarithms, and numerically resum them to all orders in the large-$N_c$ approximation. We compare our results at $\mathcal{O}(α_s)$ and $\mathcal{O}(α_s^2)$ with those of the EVENT2 fixed-order Monte Carlo program and find agreement of the leading singular behavior of the azimuthal decorrelation distribution. We find that the impact of non-global logarithms on the resummed distribution in the anti-$k_t$ algorithm is substantial, while it is significantly smaller in the $k_t$ algorithm. Furthermore, the combined clustering and non-global logarithms in the $k_t$ algorithm have an even smaller effect on the distribution. Finally, we use the program Gnole to calculate the resummed distribution at NLL accuracy, thus achieving state-of-the-art accuracy for the resummation of this quantity.

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