论文标题
具有辐射性中微子质量的最小暗物质模型：从拉格朗日到可观察
Minimal dark matter models with radiative neutrino masses: From Lagrangians to observables
论文作者
论文摘要
在本主论文中，在Arxiv：1308.3655中引入的辐射性中微子质量的最小暗物质模型通常都可以详细研究，并使用Model T1-3-B（$α= 0 $）作为代表性。在此过程中，既显示了如何构建此类模型的方式，又显示了数值分析工具链，从一开始（从给定的字段内容衍生出Lagrangian）到末端（计算可观察到的可观察物，例如Dark Maters Relic密度，直接检测到的横截面和中性群体和混合矩阵）。 作为阐述数学基础的重要结果，建立了SU（2）表示的惯例，以这种形式在以前的工作中找不到。另一个主要结果是该计划的发展最小 - 拉格朗日人，其能力在论文中得到了描述。对于新车型的Lagrangians的构建以及它们的验证或快速调查都非常有用。最小的拉格朗日人可以应用于其设计用于处理的类中的任何模型，将其实用程序扩展到远远超出仅对单个模型获得的一次性结果。 最后，采取了模型T1-3-B（$α= 0 $）分析的第一步。结果表明，该模型可以在适当的范围内重现单线 - doublet fermion暗物质模型和惰性三重态模型。此外，发现中微子质量基质，并证明该模型可以适应中微子质量的当前限制。最后，研究了暗物质遗物密度的行为，因为它取决于导致中微子质量产生的参数。 对T1-3-B模型（$α= 0 $）的进一步深入研究是在单独的出版物中进行的（ARXIV：1812.11133）。
In this master's thesis, the minimal dark matter models with radiative neutrino masses introduced in arXiv:1308.3655 are examined both in general and, using the model T1-3-B ($α= 0$) as a representative, in more detail. In the process, it is both shown how such models are built and a numerical analysis tool chain is established, automating as many steps as possible from the very beginning (deriving the Lagrangian from a given field content) to the very end (calculating observables such as the dark matter relic density, the direct detection cross section and the neutrino masses and mixing matrices). As an important result in laying out the mathematical groundwork, a convention for representations of SU(2) is established which, in this form, is not found in previous works. Another major result is the development of the program minimal-lagrangians, whose capabilities are described in the thesis. It is of great use both for the construction of Lagrangians for new models as well their verification or quick surveys. minimal-lagrangians can be applied to any model within the class it is designed to handle, extending its utility far beyond a one-time result that is only obtained for a single model. Finally, the first steps in the analysis of the model T1-3-B ($α= 0$) are taken. It is shown that the model can reproduce both the singlet-doublet fermion dark matter model and the inert triplet model in the appropriate limits. Moreover, the neutrino mass matrix is found and it is demonstrated that the model can accommodate current constraints on the neutrino masses. Lastly, the behavior of the dark matter relic density as it depends on the parameter responsible for the generation of neutrino masses is investigated. Further in-depth study of the model T1-3-B ($α= 0$) was performed in a separate publication (arXiv:1812.11133).
