标题： 辐射生成现实中中微子混合与 $A4$ 显示英文标题

标题： Radiative generation of realistic neutrino mixing with $A4$

摘要： 辐射生成中微子扇区的现实混合在scotogenic$A4\times Z_2$对称框架的一环水平下进行研究。 提出了一种通过右手中微子扇区的小质量分裂获得非零$\theta_{13}$的方案。 该模型包含三个右手中微子，其中两个需要质量简并以产生对应于$\theta_{13}=0$、$\theta_{23}=\pi/4$和任何$\theta_{12}^0$的左手中微子质量矩阵的共同结构，特别是与三最大（TBM）、二最大（BM）和黄金比例（GR）混合相关的特定选择。 非零 $\theta_{13}$， $\theta_{23}$从最大值的偏差以及太阳混合角 $\theta_{12}$的小修正可以通过在右手性中微子领域中以小量偏离这种简并性一次生成。模型中存在的三个 $Z_2$奇惰性 $SU(2)_L$双态标量中最轻的一个可以是一个潜在的暗物质候选者。 显示英文摘要

摘要： Radiative generation of realistic mixing in neutrino sector is studied at one-loop level in a scotogenic $A4\times Z_2$ symmetric framework. A scheme of obtaining non-zero $\theta_{13}$ through small mass splitting in right-handed neutrino sector is proposed. The model consists of three right-handed neutrinos, two of which were required to be degenerate in masses to yield the common structure of the left-handed neutrino mass matrix that corresponds to $\theta_{13}=0$, $\theta_{23}=\pi/4$ and any $\theta_{12}^0$ in particular the choices specific to the Tribimaximal (TBM), Bimaximal (BM) and Golden Ratio (GR) mixings. Non-zero $\theta_{13}$, deviations of $\theta_{23}$ from maximality and small corrections to the solar mixing angle $\theta_{12}$ can be generated in one stroke by shifting from this degeneracy in the right-handed neutrino sector by a small amount. The lightest among the three $Z_2$ odd inert $SU(2)_L$ doublet scalars present in the model can be a potential dark matter candidate.