A new method for real radiation at next-to-next-to-leading order
A new method for real radiation at next-to-next-to-leading order
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DOI：
10.1103/physrevd.69.076010
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发表时间：
2004-04
影响因子：
5
通讯作者：
C. Anastasiou;K. Melnikov;F. Petriello
中科院分区：
文献类型：
--
作者：
C. Anastasiou;K. Melnikov;F. Petriello
我们提出了一种计算硬QCD过程实际发射贡献的新方法。我们的方法使用唯一的最终状态相空间的扇形分解来实现在对任何运动变量进行积分之前提取真实发射矩阵元素的所有奇异性。实际发射过程的精确运动学被保存在相空间的所有区域中。从实际发射矩阵元素中提取奇异性的传统方法，如相空间切片和偶极子减法，既需要确定奇异运动极限中两个实际发射幅度的对立项，又需要对这些贡献进行解析积分，以抵消产生的奇异性与虚拟校正。我们的方法解决了这两个问题。使用我们的方法，实现对终态相空间的约束，包括各种JET算法，是很简单的。我们以$O({\Ensureath{\Alpha}_{S}^{2})$的${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}$Jet为例说明了我们的方法。
We propose a new method of computing real emission contributions to hard QCD processes. Our approach uses sector decomposition of the exclusive final-state phase space to enable extraction of all singularities of the real emission matrix elements before integration over any kinematic variable. The exact kinematics of the real emission process are preserved in all regions of phase space. Traditional approaches to extracting singularities from real emission matrix elements, such as phase space slicing and dipole subtraction, require both the determination of counterterms for double real emission amplitudes in singular kinematic limits and the integration of these contributions analytically to cancel the resulting singularities against virtual corrections. Our method addresses both of these issues. The implementation of constraints on the final-state phase space, including various jet algorithms, is simple using our approach. We illustrate our method using ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}$ jets at $O({\ensuremath{\alpha}}_{S}^{2})$ as an example.