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arXiv 2210.03409hep-ph
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大质量初始态粒子的偶极形式及其在暗物质计算中的应用

The dipole formalism for massive initial-state particles and its application to dark matter calculations

Julia Harz, Michael Klasen, Mohamed Younes Sassi, Luca Paolo Wiggering

备注：
32 pages, 8 figures, 3 tables; updated to version published in Phys. Rev. D
发表信息：
Phys.Rev.D 107 (2023) 5, 056020
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摘要：

无论是在发现暗物质的情况下，还是在排除极限的情况下，暗物质丰度在确定模型的有效参数空间中起着至关重要的作用。对暗物质遗迹密度的可靠理论预测需要技术上要求很高的精确计算，由于高阶计算中出现的红外发散的处理方面的挑战，迄今为止在自动化方面受到限制。特别是，在早期的宇宙计算中需要考虑大量的初始状态，因此不能直接利用已知的偶极子减法。因此，我们将Catani和Seymour的偶极减法推广到了具有大质量初态的超对称（SUSY）QCD。所有偶极子分裂函数和他们的集成对应明确给出了四个不同的维计划。为了展示它们的应用，我们将我们的结果应用到最小超对称标准模型的背景下的暗物质（共）湮灭过程。我们还证明了偶极方法的准确性，通过比较我们的数值结果与相空间切片方法得到的结果。我们的分析结果将有助于未来的暗物质丰度计算的自动化在次领先的顺序为超对称和非超对称模型。

英文摘要：

The dark matter abundance plays a crucial role in the determination of the valid parameter space of models both in the case of a discovery of dark matter and in the context of exclusion limits. Reliable theoretical predictions of the dark matter relic density require technically demanding precision calculations, which were so far limited in their automation due to challenges in the treatment of infrared divergences appearing in higher order calculations. In particular, massive initial states need to be considered in early Universe computations, so that the known dipole subtraction methods could not be directly exploited. We therefore provide a full generalization of the dipole subtraction method by Catani and Seymour to supersymmetric (SUSY) QCD with massive initial states. All dipole splitting functions and their integrated counterparts are given explicitly for four different dimensional schemes. To showcase their application, we apply our results to dark matter (co)annihilation processes in the context of the minimal supersymmetric Standard Model. We also demonstrate the accuracy of the dipole method by comparing our numerical results with those obtained with the phase space slicing method. Our analytical results will facilitate future automation of dark matter abundance calculations at next-to-leading order for both SUSY and non-SUSY models.

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