Theoretical uncertainty of the supersymmetric dark matter relic density from scheme and scale variations
Theoretical uncertainty of the supersymmetric dark matter relic density from scheme and scale variations
复制标题
来自方案和尺度变化的超对称暗物质遗迹密度的理论不确定性
DOI：
10.1103/physrevd.93.114023
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发表时间：
2016
影响因子：
5
通讯作者：
P. Steppeler
中科院分区：
文献类型：
--
作者：
J. Harz;B. Herrmann;M. Klasen;K. Kovarik;P. Steppeler
对于粒子物理观测在对撞机，如在欧洲核子研究中心的大型强子对撞机，它一直是常见的做法，几十年来，通过研究的预测截面的变化与优先不可预测的尺度来估计理论的不确定性。在天体粒子物理学中，这到目前为止还不可能，因为大多数的观测量都是在玻恩能级上计算的，所以重整化方案和尺度依赖性不能以有意义的方式进行研究。在本文中，我们提出的第一个定量研究的理论不确定性的中性伴子暗物质遗迹密度从计划和规模的变化。我们首先详细解释了重整化尺度如何通过耦合常数，质量和混合角进入树级计算。然后，我们证明了减少的重整化标度的依赖性，通过一个循环SUSY-QCD校正在许多不同的暗物质湮灭通道和增强微扰稳定性的混合上重整化计划在purescheme在顶夸克部门。在停止-停止湮灭通道中，索末菲增强及其尺度依赖性被证明是特别重要的。最后，在三种典型的十一参数唯象最小超对称标准模型（pMSSM-11）中研究了高阶SUSY QCD修正及其标度不确定性的影响.我们发现，在许多情况下，理论的不确定性降低，并可以成为在某些情况下的实验之一的大小相媲美。
For particle physics observables at colliders such as the LHC at CERN, it has been common practice for many decades to estimate the theoretical uncertainty by studying the variations of the predicted cross sections witha prioriunpredictable scales. In astroparticle physics, this has so far not been possible, since most of the observables were calculated at Born level only, so that the renormalization scheme and scale dependence could not be studied in a meaningful way. In this paper, we present the first quantitative study of the theoretical uncertainty of the neutralino dark matter relic density from scheme and scale variations. We first explain in detail how the renormalization scale enters the tree-level calculations through coupling constants, masses and mixing angles. We then demonstrate a reduction of the renormalization scale dependence through one-loop SUSY-QCD corrections in many different dark matter annihilation channels and enhanced perturbative stability of a mixed on-renormalization scheme over a purescheme in the top-quark sector. In the stop-stop annihilation channel, the Sommerfeld enhancement and its scale dependence are shown to be of particular importance. Finally, the impact of our higher-order SUSY-QCD corrections and their scale uncertainties are studied in three typical scenarios of the phenomenological minimal supersymmetric standard model with eleven parameters (pMSSM-11). We find that the theoretical uncertainty is reduced in many cases and can become comparable to the size of the experimental one in some scenarios.