论文标题
大量初始状态颗粒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
论文作者
论文摘要
在发现暗物质和排除限制的情况下,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。可靠的对暗物质遗物密度的理论预测需要技术要求的精确计算,由于治疗以高阶计算出现的红外差异的挑战,其自动化的迄今为止受到限制。特别是,在早期的宇宙计算中需要考虑大量初始状态,以便无法直接利用已知的偶极减法方法。因此,我们通过Catani和Seymour对偶极子减法的方法进行了充分的概括,以使对称(SUSY)QCD具有较大的初始状态。所有偶极子分裂函数及其集成的功能均针对四种不同的维度方案明确给出。为了展示其应用,我们将结果应用于最小超对称标准模型的背景下的暗物质(CO)歼灭过程。我们还通过将我们的数值结果与使用相空间切片方法获得的数值结果进行比较来证明偶极法的准确性。我们的分析结果将促进SUSY和非觉醒模型的近代领域的暗物质丰度计算的未来自动化。
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.