AI 中文总结
构建$A_{4} \ imes Z_{4}$对称模型研究中微子质量混合与畴壁碰撞引力波，利用flavon真空期望值消除真空简并，预测的引力波谱在flavon真空期望值为$10^4$ TeV时可被当前及近期实验探测。
AI 中文摘要
构建了$A_{4} \ imes Z_{4}$对称模型，用于研究中微子质量与混合，以及畴壁湮灭产生的引力波谱。第一个中微子质量模型由 flavon 的真空期望值和自相互作用势项得到的取向构建，第二个模型则采用包含自相互作用和混合项的势产生的新真空期望值。两种模型得到的中微子混合模式与当前中微子振荡数据吻合良好，混合值存在差异。此外，flavon 混合项消除了离散对称性自发对称破缺中常出现的真空简并性。这些混合项以及第二个模型修正后的中微子质量矩阵，被认为是分析引力波谱所需的偏差来源。当 flavon 的真空期望值为$10^4$ TeV时，该模型预测的谱可被当前及近期实验探测到。
英文摘要
The $A_{4} \times Z_{4}$ symmetry models are constructed to study neutrino masses and mixings, as well as the gravitational-wave spectrum from domain-wall annihilation. The first neutrino mass model is constructed with the flavon's vacuum expectation value and alignment obtained from the self-interacting potential terms, while the second model uses a new vacuum expectation value arising from a potential containing both self-interaction and mixed terms. The resulting neutrino mixing patterns for both models are in good agreement with current neutrino oscillation data with different mixing values. Further, the flavon mixing terms lift the vacua degeneracy that often shows in the spontaneous symmetry breaking of the discrete symmetry. These mixing terms and the modified neutrino mass matrix of the second model are considered to produce the necessary bias for analysing the gravitational waves spectrum. The spectrum predicted by the model could be detected by current and near-future experiments when the flavons have the vacuum expectation value of $10^4$ TeV.
Comments10 figures, 2 tables
