arXiv 2003.041572020-03-09hep-phastro-ph.CO

具有辐射中微子质量的最小暗物质模型：从拉格朗日量到可观测量

Minimal dark matter models with radiative neutrino masses: From Lagrangians to observables

Simon May

备注：: 226 pages, 32 figures; master's thesis at Westfälische Wilhelms-Universität Münster

摘要：

在这篇硕士论文中，最小的暗物质模型与辐射中微子的质量在arXiv：1308.3655中介绍了一般检查，并使用模型T1-3-B（$α= 0$）作为代表，更详细。在这个过程中，它都显示了如何建立这样的模型和数值分析工具链的建立，自动化尽可能多的步骤，从一开始（推导拉格朗日从一个给定的字段内容）到最后（计算观测，如暗物质遗迹密度，直接检测截面和中微子质量和混合矩阵）。作为奠定数学基础的一个重要结果，建立了SU（2）表示的约定，这种形式在以前的工作中没有找到。另一个主要成果是开发的程序最小拉格朗日，其功能在论文中描述。这是非常有用的建设拉格朗日新模式，以及他们的验证或快速调查。最小拉格朗日函数可以应用于它被设计为处理的类别内的任何模型，将其效用远远扩展到仅针对单个模型获得的一次性结果之外。最后，进行T1-3-B（$α= 0$）模型分析的第一步。结果表明，在适当的范围内，该模型既能再现单重态-二重态费米子暗物质模型，又能再现惰性三重态模型。此外，中微子质量矩阵的发现，它表明，该模型可以容纳当前的中微子质量的约束。最后，暗物质遗迹密度的行为，因为它取决于负责中微子质量的产生参数进行了研究。在另一篇出版物（arXiv：1812.11133）中对模型T1-3-B（$α= 0$）进行了进一步深入研究。

英文摘要：

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).

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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