We propose a framework that addresses the origin of neutrino mass, explains the observed discrepancies in the electron and the muon anomalous magnetic moments (AMMs) data, and incorporates the dark matter (DM) relic abundance. Both the neutrino mass and the lepton AMMs are generated at one-loop level mediated by a common set of beyond the Standard Model (SM) states. In this class of models, the SM is extended with vector-like charged fermion and scalar multiplets, all odd under an imposed ${𝒵}_2$ symmetry, which stabilizes the fermionic or scalar DM candidate residing in one of them. Two scalar multiplets appear in the AMM loops, thus allowing for different signs of their contributions, in agreement with the observed discrepancies which are of opposite sign for electron and muon. The vector-like fermions give rise to large new physics contributions to the lepton AMMs via chirally enhanced terms that are proportional to their mass. To demonstrate the viability of this framework, we perform a detailed study of a particular model for which a fit to the neutrino masses and mixing together with lepton AMMs are provided. Furthermore, DM phenomenology and collider signatures are explored.

中文翻译：

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暗物质辅助的轻子异常磁矩和中微子质量

我们提出了一个解决中微子质量起源的框架，解释了电子和μ子异常磁矩（AMMs）数据中观察到的差异，并结合了暗物质（DM）遗迹的丰度。中微子质量和轻子AMMs都是在一组超出标准模型（SM）状态的公共集的介导下以单环水平生成的。在此类模型中，SM扩展为带有矢量的带电费米子和标量多重峰，在强加下都是奇数${𝒵}_2$对称性，可稳定存在于其中之一中的铁离子或标量DM候选物。两个标量多重峰出现在AMM回路中，因此，与观察到的电子和介子符号相反的差异相一致，从而允许它们具有不同的符号。类似于矢量的费米子通过与它们的质量成比例的手性增强项，为轻子AMM带来了巨大的新的物理学贡献。为了证明该框架的可行性，我们对特定模型进行了详细研究，为该模型提供了适合中微子质量并与轻子AMM混合的模型。此外，还探讨了DM现象学和对撞机签名。