论文标题
偶极淋浴颜色的改进
Improvements on dipole shower colour
论文作者
论文摘要
偶极形式主义提供了一个强大的框架，可以从中构建Parton阵雨。在最近的一篇论文中，我们提出了一个偶极淋浴，具有提高的颜色准确性，在本文中，我们展示了如何进一步改进它。在以$ \ Mathcal {o}（α_ {\ Mathrm {s}}}}^{2}）$的明确检查后，我们确认我们的原始淋浴是按照连贯的分支Algorithm senloss ins ins ins in tash as and senlation as and senling as and senling as and senling as and as and as and as and shoster的执行。我们还展示了其他偶极淋浴算法如何无法实现这一目标。然而，有一个$ \ mathcal {o}（α_ {\ mathrm {s}}}}^{2}）$拓扑，其中它以$ n _ {\ mathrm {c}} $在sub-Leading $ n _ {\ mathrm {c}} $与coherent algorent algorith algorithm的不同。这种错误的拓扑可以为某些可观察到的对数做出领先的对数，并且对应于以$ k_t $但不倾斜的排放。我们提出了一种简单的，计算上有效的方法来纠正此问题并根据$α_ {\ mathrm {s}} $中的所有订单分配颜色因素。
The dipole formalism provides a powerful framework from which parton showers can be constructed. In a recent paper, we proposed a dipole shower with improved colour accuracy and in this paper we show how it can be further improved. After an explicit check at $\mathcal{O}(α_{\mathrm{s}}^{2})$ we confirm that our original shower performs as it was designed to, i.e. inheriting its handling of angular-ordered radiation from a coherent branching algorithm. We also show how other dipole shower algorithms fail to achieve this. Nevertheless, there is an $\mathcal{O}(α_{\mathrm{s}}^{2})$ topology where it differs at sub-leading $N_{\mathrm{c}}$ from a coherent branching algorithm. This erroneous topology can contribute a leading logarithm to some observables and corresponds to emissions that are ordered in $k_t$ but not angle. We propose a simple, computationally efficient way to correct this and assign colour factors in accordance with the coherence properties of QCD to all orders in $α_{\mathrm{s}}$.
