The Two-loop soft anomalous dimension matrix and resummation at next-to-next-to leading pole
The Two-loop soft anomalous dimension matrix and resummation at next-to-next-to leading pole
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双环软反常维数矩阵及邻接前导极点的恢复
DOI：
10.1103/physrevd.74.074004
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发表时间：
2006
影响因子：
5
通讯作者：
G. Sterman
中科院分区：
文献类型：
--
作者：
S. Aybat;L. Dixon;G. Sterman
我们将量纲调节振幅的恢复扩展到了紧邻的前导极点。这需要计算两环反常维数矩阵，以通过软胶子交换进行颜色混合。值得注意的是，我们发现它们与相应的单循环矩阵成正比。使用颜色生成器符号，我们重现了 Catani 为夸克和胶子弹性散射引入的双环单极量 H{sup (2)}。我们的结果还使得阈值和各种其他恢复成为可能。所有这些考虑因素都适用于具有无质量外线的 2 {yields} n 过程。
We extend the resummation of dimensionally-regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that they are proportional to the corresponding one-loop matrices. Using the color generator notation, we reproduce the two-loop single-pole quantities H{sup (2)} introduced by Catani for quark and gluon elastic scattering. Our results also make possible threshold and a variety of other resummations at next-to-next-to leading logarithm. All of these considerations apply to 2 {yields} n processes with massless external lines.