论文标题
从模块化对称性的Lepton质量矩阵的质地零模式
Texture-zero patterns of lepton mass matrices from modular symmetry
论文作者
论文摘要
在解决标准型号的口味难题时，已广泛考虑了费米昂质量矩阵中的纹理零。在这项工作中，我们对$γ_{3}'\ cong t'$模块化对称性的框架中的Lepton Mass矩阵中的纹理零进行了系统分析。假设Lepton Fields作为$ T'$的不可约表示，我们为带电的lepton和Neutmino质量矩阵获得了所有可能的质地零模式，这些模式可以从$ t'$模块化对称性中实现。我们为可以容纳实验数据的现象学可行纹理提供了代表性的模型。讨论了Lepton混合角，CP侵略阶段，轻中微子肿块和与中性中微子Dobleβ衰减相关的有效中微子质量的预测。我们发现，最小可行的Lepton型号仅取决于$ 7 $的真实免费参数，包括Modulus $τ$（相应的充电 - 勒普顿质量矩阵包含$ 4 $消失的条目，而Neutrino Mass Matrix的$ 1 $ TEXTURE零）。最后，我们详细研究了三个基准模型，一种用于考虑的每个中微子质量产生机制（通过Majorana通过Weinberg Operator，Majorana和Majorana通过最小I型SEESAW机制）进行了研究。
Texture zeros in fermion mass matrices have been widely considered in tackling the Standard Model flavour puzzle. In this work, we perform a systematic analysis of texture zeros in lepton mass matrices in the framework of $Γ_{3}'\cong T'$ modular symmetry. Assuming that the lepton fields transform as irreducible representations of $T'$, we obtain all possible texture-zero patterns for both charged-lepton and neutrino mass matrices which can be achieved from $T'$ modular symmetry. We provide representative models for the phenomenologically-viable textures which can accommodate the experimental data. The predictions for lepton mixing angles, CP-violating phases, light neutrino masses and effective neutrino mass relevant for neutrinoless doble beta decay, are discussed. We find that the minimal viable lepton model depends on only $7$ real free parameters including the modulus $τ$ (the corresponding charged-lepton mass matrix contains $4$ vanishing entries, and the neutrino mass matrix has $1$ texture zero). Finally, we study in detail three benchmark models, one for each neutrino mass generation mechanism considered (Dirac, Majorana via Weinberg operator and Majorana via minimal type-I seesaw mechanism).
