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arXiv 0903.3241hep-ph
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两圈上的大量软反常维数矩阵

The Massive Soft Anomalous Dimension Matrix at Two Loops

Alexander Mitov, George Sterman, Ilmo Sung

摘要:

本文研究了耦合于一点的Wilson线乘积的QCD中的双圈反常维数矩阵和相关的规范理论。我们验证了在欧几里得空间的分析,这些矩阵的贡献,从图连接三个大规模的威尔逊线一般不会消失。然而,我们发现,对于二比二的过程中的两个循环的异常尺寸矩阵是对角线在相同的颜色交换的基础上的一个循环矩阵的任意质量在绝对阈值和散射在90度的质心。这一结果对阈值重定在重夸克产生中的应用具有重要意义。

英文摘要:

We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link three massive Wilson lines do not vanish in general. We show, however, that for two-to-two processes the two-loop anomalous dimension matrix is diagonal in the same color-exchange basis as the one-loop matrix for arbitrary masses at absolute threshold and for scattering at ninety degrees in the center of mass. This result is important for applications of threshold resummation in heavy quark production.

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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