论文标题
$ pp \ to t \ bar {t} j $ to $ o（ε^2）$的一环QCD螺旋振幅
One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(ε^2)$
论文作者
论文摘要
我们根据一组统一的先验大师积分来分析一环QCD校正，计算一环QCD校正的螺旋幅度。我们首次在NNLO中首次提供了尺寸调节器中最多$ O（ε^2）$的更正。四个独立的五角大楼积分拓扑出现在我们使用规范形式微分方程和广义功率系列扩展方法的数值解决方案的颜色结构的完整描述中。在所有情况下，除了找到一维积分表示外，在所有情况下都获得了边界值的分析形式。
We compute helicity amplitudes for the one-loop QCD corrections to top-quark pair production analytically in terms of a set of uniformly transcendental master integrals. We provide corrections up to $O(ε^2)$ in the dimensional regulator for the first time which are relevant at NNLO. Four independent pentagon integral topologies appear in the complete description of the colour structure for which we provide numerical solutions using canonical form differential equations and the method of generalised power series expansions. Analytic forms of the boundary values are obtained in all cases except one where we find a one-dimensional integral representation.
