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arXiv 0907.1790hep-ph
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顶对强子产生到次次主导测井的阈值恢复

Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log

M. Czakon, A. Mitov, G. Sterman

摘要:

利用最近关于运动学极限下大质量夸克偶产生的软反常维数矩阵的研究进展,我们导出了强子碰撞中重夸克产生的阈值化总截面,精确到次领先对数。我们还导出了固定对运动学的重夸克阈近似与包含截面之间的关系。作为我们的结果的检查,我们已经验证了,他们再现的所有极点的颜色平均q \bar{q} -> t \bar{t}振幅在两个循环,注意到后者是不敏感的软异常尺寸的颜色反对称项。

英文摘要:

We derive the threshold-resummed total cross section for heavy quark production in hadronic collisions accurate to next-to-next-to-leading logarithm, employing recent advances on soft anomalous dimension matrices for massive pair production in the relevant kinematic limit. We also derive the relation between heavy quark threshold resummations for fixed pair kinematics and the inclusive cross section. As a check of our results, we have verified that they reproduce all poles of the color-averaged q\bar{q} -> t\bar{t} amplitudes at two loops, noting that the latter are insensitive to the color-antisymmetric terms of the soft anomalous dimension.

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