论文标题
中微子质量和最少的逆向锯与混合使用$ a_4 $模块化对称性
Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
论文作者
论文摘要
在本文中，我们借助模块化对称性在最小逆Seesaw [ISS（2,3）]中构建了一个模型。我们使用了$γ（3）$模块化组，该组与非 - 亚伯离散对称组$ A_4 $是同构。在这一组中，有三种Yukawa模块化的重量2。通过此模型，我们研究中微子质量并为正常和倒立的层次结构进行混合。模块化对称性的使用减少了对额外的黄酮及其特定的VEV比对的需求，因此，模型的最小值在很大程度上保持了。除了$ A_4 $对称组外，我们还使用了$ Z_3 $来限制Lagrangian中的某些交互项。此外，我们计算有效的质量来解决中性链双β衰减的现象（$0νββ$）。如不同$0νβ$实验所预测的，有效质量的值位于绑定（$ M_ {eff} <0.165 $ eV）之内。
In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used $Γ(3)$ modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$. In this group there are three Yukawa modular forms of weight 2. Through this model, we study neutrino masses and mixing for both normal and inverted hierarchy. Use of modular symmetry reduces the need for extra flavons and their specific VEV alignments, as such, minimality of the model is maintained to a great extent. Along with $A_4$ symmetry group, we have used $Z_3$ to restrict certain interaction terms in the Lagrangian. Further we calculate the effective mass to address the phenomena of neutrinoless double-beta decay ($0νββ$). The values of effective mass is found to lie within the bound ($m_{eff}<0.165$ eV) as predicted by different $0νββ$ experiments.
