arXiv 2208.073212022-08-15hep-phhep-th

方位相关对$\mathcal{O}(α_{\rm S}^2)$处QCD横向动量再增的贡献

Azimuthally-correlated contributions to QCD transverse-momentum resummation at $\mathcal{O}(α_{\rm S}^2)$

Prasanna K. Dhani

备注：: 10 pages, contribution to the proceedings of "Loops and Legs in Quantum Field Theory - LL2022, 25-30 April, 2022, Ettal, Germany". arXiv admin note: substantial text overlap with arXiv:2208.05840

摘要：

奇异因子源于软共线极限中散射振幅的QCD因式分解，在组织和计算硬散射截面的高阶微扰贡献中起着重要作用。在这次演讲中，我们从共线极限中的散射振幅的因式分解结构开始，我们引入了具有过程无关结构的共线函数。这些共线函数，这是在全微分水平上定义的，然后可以在适当的观测相关的相空间进行积分，以计算相应的观测的几何增强的贡献。对于横动量相关的观测量，我们展示了如何在不引入文献中所谓的快度发散的情况下定义共线函数。本文给出了QCD微扰论中次-次-首阶共线函数的显式计算结果。

英文摘要：

Singular factors originating from the QCD factorisation of scattering amplitudes in soft and collinear limits play a prominent role in both organising and computing high-order perturbative contributions to hard-scattering cross sections. In this talk, we start from the factorisation structure of scattering amplitudes in the collinear limit, and we introduce collinear functions that have a process-independent structure. These collinear functions, which are defined at the fully-differential level, can then be integrated over the appropriate observable-dependent phase space to compute logarithmically-enhanced contributions to the corresponding observable. For transverse-momentum dependent observables, we show how the collinear functions can be defined without introducing what is known as rapidity divergences in the literature. We present the results of explicit computations of the collinear functions up to next-to-next-to-leading order in the QCD perturbation theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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