论文标题
全面收集了尺寸调节的QCD的一环三连体分裂操作员
Complete collection of one-loop triple-collinear splitting operators for dimensionally-regulated QCD
论文作者
论文摘要
我们为五个可能的过程的单循环三连电/旋转空间拆分操作员提供结果，$ q \ to qq'\ bar {q}'$，$ q \ to qq \ bar {q} $，$ q \ to qgg $，qgg $，$ g \ g \ to gq \ to gq \ bar {q \ bar {q} $ {q} $和$ g \ $ ggg $ ggg。表达式在尺寸调节的无质量QCD中精确到单个积分，我们将其扩展到二阶在尺寸调查参数中。我们还评估了相关的分裂功能。我们的结果既足够且必不可少，对于构建减法和综合提取项，用于单循环双重实现横截面的三共线奇异性，这是临近到领先的订单减法方案的一部分。
We provide results for the one-loop triple-collinear color/spin-space splitting operators for the five possible processes, $q \to qq'\bar{q}'$, $q \to qq\bar{q}$, $q \to qgg$, $g \to gq\bar{q}$ and $g \to ggg$. The expressions are exact in dimensionally-regulated massless QCD up to a single integral, which we expand to second order in the dimensional-regularisation parameter. We also evaluate the related splitting functions. Our results are both sufficient and indispensable for the construction of subtraction and integrated-subtraction terms for triple-collinear singularities of one-loop double-real-emission cross-section contributions as part of a next-to-next-to-next-to leading order subtraction scheme.
