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arXiv 1306.5420hep-ph
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非全局QCD观测量聚类算法的恢复

Resummation of clustering logarithms for non-global QCD observables

Yazid Delenda, Kamel Khelifa-Kerfa

摘要:

本文讨论了用k_t、CA和SISCone算法定义QCD喷注观测量中的主聚类日志的计算问题。我们特别选择喷流质量分布作为例子,并以单对数精度计算级数展开中的最多(α_s^4)阶聚类对数项。这些条款被发现表现出一种模式的指数,因此,我们能够执行的聚类日志的所有订单的分析重申。我们还数值计算了大N_c时的非全局对数。我们表明,我们的聚类日志的remmation的结果是一个很好的分析近似的数值结果,使用专门的蒙特卡罗程序。

英文摘要:

We address the problem of resumming leading clustering logs in QCD jet observables defined using the k_t, CA and SISCone algorithms. We specifically choose the jet mass distribution as an example and calculate up to order(alpha_s^4) clustering-log terms in the series expansion at single-log accuracy. These terms are found to exhibit a pattern of exponentiation and we are thus able to perform an all-orders analytical resummation for the clustering logs. We also numerically calculate the non-global logs at large N_c. We show that our result for the resummation of clustering logs is a very good analytical approximation to the numerical result obtained using a specialised Monte Carlo program.

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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