发表机构
United Arab Emirates University; University of Doha for Science and Technology（阿联酋大学; 多哈科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出一个基于T4-3-i拓扑的辐射中微子质量模型，包含惰性标量二重态等粒子，通过$Z_2$对称性稳定暗物质，预测一个无质量中微子，并给出对撞机信号以检验暗物质和中微子性质。
AI 中文摘要
我们探索了一种基于拓扑T4-3-i的辐射中微子质量模型，该模型是Weinberg算符的单圈完备化。我们关注其T4-3-i-C1实现，包含一个惰性标量二重态、一个实标量三重态、一个Majorana费米子三重态和一个Dirac单态费米子。一个精确的$Z_2$对称性禁止了树级type-III项，并稳定了最轻的$Z_2$奇粒子，使得单圈拓扑成为中微子质量的主要来源。该模型容纳了一个中性的{\it CP}偶标量暗物质候选者，并预测了一个秩为二的中微子质量矩阵，因此一个中微子是无质量的。结合理论和实验约束的综合分析揭示了两种中微子质量顺序的可行解，其中反序（inverted ordering）预测了更大的$m_{\beta\beta}$、$m_\beta$和$\sum_i m_i$值，从而增强了其通过未来β衰变、无中微子双β衰变和宇宙学探针的可检验性。在相同的可行参数区域内，观测到的暗物质遗迹丰度通过湮灭和共湮灭过程得以解释，而电弱三重态扇区产生了瞬发、位移或长寿命粒子信号，为暗物质和低能搜索提供了互补的对撞机探针。
英文摘要
We explore a radiative neutrino mass model based on the topology T4-3-i, which is a one-loop completion of the Weinberg operator. We focus on its T4-3-i-C1 realization, containing an inert scalar doublet, a real scalar triplet, a Majorana fermion triplet, and a Dirac singlet fermion. An exact $Z_2$ symmetry forbids the tree-level type-III term and stabilizes the lightest $Z_2$-odd particle, leaving the one-loop topology as the leading source of neutrino mass. The model accomodate a neutral {\it CP}-even scalar dark matter candidate and predicts a rank two neutrino mass matrix, and thus one neutrino is massless. A combined analysis incorporating theoretical and experimental constraints reveals viable solutions to both neutrino mass orderings, with the inverted ordering predicting larger values of $m_{ββ}$, $m_β$, and $\sum_i m_i$, thereby enhancing its testability through future beta-decay, neutrinoless double beta decay, and cosmological probes. Within the same viable parameter region, the observed dark matter relic abundance is accounted for by annihilation and coannihilation processes, while the electroweak triplet sector gives rise to prompt, displaced, or long-lived particle signatures, offering complementary collider probes to dark matter and low-energy searches.
Comments25 pages, 16 figures
