AI 中文总结
本文针对一类前向极限下趋于角度的双喷注事件形状，提出模块化方法计算其NNLO软函数，填补NNLL'重求和缺失要素，并给出三个新族的计算结果及代码，可用于未来对撞机强子化研究。
AI 中文摘要
我们考虑一类双喷注事件形状，其在前向极限下趋于角度。该类事件形状的因子化公式仅在软函数上与角度的不同。因此，该类中事件形状的NNLO软函数是NNLL'重求和所需的唯一缺失要素。我们描述了一种模块化方法，用于计算该类中任意事件形状在NLO和NNLO的软函数。软函数的许多结构可以用单个快度积分来表示。其余部分可计算为三维数值积分，我们为此提供了代码。为展示我们方法的灵活性，我们计算了该类中三个新事件形状族的NNLO软函数。潜在应用包括在未来$e^+ e^-$对撞机上研究强子化效应，或通过重新分析存档数据。
英文摘要
We consider a class of dijet event shapes which tend to angularity in the forward limit. The factorisation formula for this class of event shapes differs from angularity only in the soft function. The NNLO soft function of an event shape in this class is therefore the only missing ingredient required for NNLL' resummation. We describe a modular approach to the calculation of the soft function for any event shape in this class, at NLO and NNLO. Much of the structure of the soft function can be written in terms of a single rapidity integral. The remainder can be computed as a three-dimensional numerical integral for which we provide a code. To demonstrate the flexibility of our approach, we compute the NNLO soft function for three new families of event shapes in this class. Potential applications include the investigation of hadronisation effects at future $e^+ e^-$ colliders, or through the re-analysis of archived data.
Comments30 pages, 10 figures
