论文标题
实现最小扩展的SeeSAW机制和$ TM_2 $类型中微子混合
Realization of the minimal extended seesaw mechanism and the $TM_2$ type neutrino mixing
论文作者
论文摘要
我们基于风味对称组$ a_4 \ times C_4 \ times C_6 \ times C_2 $构建中微子质量模型，该模型可容纳在最小的扩展Seesaw（MES）方案中。除了风味对称性外，我们还引入了无菌领域的$ u（1）$量规对称性，并施加了CP对称性。模型中标量场的真空比对自发地打破了这些对称性，并导致了fermion质量矩阵的构建。在MES公式的帮助下，我们提取光中微子质量和混合观测值。在主动中微子扇区中，我们获得了$ \ text {tm} _2 $混合模式，具有非零反应堆角度和损坏的$μ$ - $ $ - $τ$反射对称性。我们以仅四个实际模型参数来表达所有活动和无菌振荡可观察到的物品。使用这种高度约束的方案，我们预测$ \ sin^2θ_{23} = 0.545^{+0.003} _ { - 0.004} $，$ \sinΔ= -0.911^{+0.006} {+0.006} _ { - 0.005} 0.029^{+0.009} _ { - 0.008} $，$ | u _ {\ mu4} |^2 = 0.010^{+0.003} _ { - 0.003} $和$ | | | U _ {\ tau4} |
We construct a neutrino mass model based on the flavour symmetry group $A_4\times C_4 \times C_6 \times C_2$ which accommodates a light sterile neutrino in the minimal extended seesaw (MES) scheme. Besides the flavour symmetry, we introduce a $U(1)$ gauge symmetry in the sterile sector and also impose CP symmetry. The vacuum alignments of the scalar fields in the model spontaneously break these symmetries and lead to the construction of the fermion mass matrices. With the help of the MES formulas, we extract the light neutrino masses and the mixing observables. In the active neutrino sector, we obtain the $\text{TM}_2$ mixing pattern with non-zero reactor angle and broken $μ$-$τ$ reflection symmetry. We express all the active and the sterile oscillation observables in terms of only four real model parameters. Using this highly constrained scenario we predict $\sin^2 θ_{23} =0.545^{+0.003}_{-0.004}$, $\sin δ= -0.911^{+0.006}_{-0.005}$, $|U_{e4}|^2 = 0.029^{+0.009}_{-0.008}$, $|U_{\mu4}|^2 = 0.010^{+0.003}_{-0.003}$ and $|U_{\tau4}|^2 = 0.006^{+0.002}_{-0.002}$ which are consistent with the current data.
