论文标题
关于用一环seesaw扩展$ _4 $模块化对称性的拓扑洛伦兹结构的最小实现
On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A$_4$ Modular Symmetry
论文作者
论文摘要
Dimension-5处的一环Weinberg操作员的拓扑分类导致对单环中微子质量模型的系统分类。所有一环中微子质量模型都必须属于其中一个类别。在这些拓扑类别中，鉴于当前的LHC运行，Canonical Seesaw方案的循环扩展很有趣。除了一环的贡献外，这些扩展还会导致对中微子质量的主要树水平贡献。获得主要的一环贡献的直接补救措施需要结合风味对称性和扩大的现场含量。另外，在这项工作中，我们提出了一种使用置换对称性的模块化变体实现拓扑结构的最小方法。在这种认识中，除拓扑本身所允许的范围外，不需要新的领域。我们首次意识到使用模块化A $ _4 $对称性的II类型Seesaw的一种拓扑Lorentz结构（T4-2- $ i $）与一环延伸有关。在这里，模块化重量在抑制树级术语和稳定循环中运行的颗粒（$ n_i $，$ρ$和$ρ$）中起着重要作用，因此使它们成为合适的暗物质候选者。在这项工作中，我们探讨了fermionic暗物质候选者的可能性，其中右手中微子（$ n_1 $）被认为是最轻的。我们还分析了该模型与中微子振荡数据的兼容性，并获得了有效的Majorana质量$ M_ {EE} $和$ CP $违规的模型预测。此外，考虑到违反Lepton风味的过程的遗物密度及其直接检测的预测，还研究了$μ\ rightarrowEγ$。
The topological classification of one-loop Weinberg operator at dimension-5 leads to systematic categorization of one-loop neutrino mass models. All one-loop neutrino mass models must fall in one of these categories. Among these topological categories, loop extension of canonical seesaw scenarios is interesting in light of the current LHC run. Apart from one-loop contribution, these extensions result in dominant tree-level contribution to neutrino masses. The immediate remedy to obtain dominant one-loop contribution requires combination of flavor symmetries and enlarged field content. Alternatively, in this work, we propose a minimal way of realizing the topological structures with dominant one-loop contribution using modular variant of the permutation symmetries. In such a realization, no new fields are needed apart from those permitted by the topology itself. For the first time, we have realized one such topological Lorentz structure(T4-2-$i$) pertaining to one-loop extension of Type-II seesaw using modular A$_4$ symmetry. Here, modular weights play an important role in suppressing tree-level terms and stabilizing the particles running in the loop($N_i$, $ρ$ and $ϕ$), thus, making them suitable dark matter candidates. In this work, we have explored the possibility of fermionic dark matter candidate where right-handed neutrino ($N_1$) is assumed to be lightest. We have, also, analyzed the compatibility of the model with neutrino oscillation data and obtained model predictions for effective Majorana mass $M_{ee}$ and $CP$ violation. Furthermore, the predictions on relic density of dark matter and its direct detection considering bound on lepton flavor violating process, $μ\rightarrow eγ$ have, also, been investigated.
