论文标题
残留模块化点的磁化轨道模型中的夸克和Lepton风味结构
Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
论文作者
论文摘要
我们研究了Quark和Lepton质量矩阵，这些矩阵源自磁化$ T^2/\ Mathbb {Z} _2 $ orbifold模型。 Quark和Lepton Masses具有较大的层次结构。另外，在Lepton部门的混合角度很大，而夸克部门的混合角度很小。我们发现，该结构可以在某些风味模型中实现，这些模型由费米和希格斯模式的零模式波函数的零点标识。我们对这种现实的风味模型进行了分类。固定点$τ= i $，$ e^{2πi/3} $和$ i \ i \ infty $ in Modulus $τ$在通过我们的场景中实现大型层次结构，其中残留的$ s $，$ s $，$ st $和$ t $ symemeties保留和最轻的higgs模态与eigenstate sumpermecties sumpermecties sumpermecties sumpermecties sumemecties somecties sugmenties eigemecties somecties eigemect of eigemect of eigemect of eigemect。结果，我们发现总共有24种风味模型，在$ s $ symmetric真空附近可能是现实的，但没有$ st $和$ t $ smmememmetric真空吸尘器的风味模型。
We study quark and lepton mass matrices derived from magnetized $T^2/\mathbb{Z}_2$ orbifold models. Quark and lepton masses have a large hierarchy. In addition, mixing angles are large in the lepton sector, while those are small in the quark sector. We find that this structure can be realized in certain flavor models, which are identified by the zero points of the zero-mode wave functions of fermions and Higgs modes. We classify such realistic flavor models. Fixed points $τ=i$, $e^{2πi/3}$ and $i\infty$ of the modulus $τ$ play a role in realizing a large mass hierarchy through our scenario, where residual $S$, $ST$, and $T$ symmetries remain and the lightest Higgs modes can correspond to eigenstates of residual symmetries at the leading order. As a result, we find that there are 24 flavor models in total which can be realistic in a vicinity of $S$-symmetric vacuum but no flavor models for $ST$ and $T$-symmetric vacua.
