Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
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DOI：
10.1103/physrevd.106.115003
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发表时间：
2022-09
影响因子：
5
通讯作者：
Kouki Hoshiya;S. Kikuchi;Tatsuo Kobayashi;Hikaru Uchida
中科院分区：
文献类型：
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作者：
Kouki Hoshiya;S. Kikuchi;Tatsuo Kobayashi;Hikaru Uchida
本文研究了磁化$T^2/\mathbb{Z}_2$轨道模型导出的夸克和轻子质量矩阵。夸克和轻子的质量有很大的等级。此外，混合角在轻子扇区很大，而在夸克扇区很小。我们发现，这种结构可以实现在某些风味模型，这是确定的零点的零模波函数的费米子和希格斯模式。我们对这种现实的风味模型进行分类。模$\tau$的不动点$\tau=i$、$e^{2\pi i/3}$和$i\infty$在我们的方案中实现大质量等级中发挥了作用，其中残留的$S$、$ST$和$T$对称性仍然存在，最轻的希格斯模式可以对应于领先阶的残留对称性的本征态。结果发现，在$S$-对称真空附近有24个真实的味模型，而在$ST$和$T$-对称真空附近没有味模型。
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 $\tau=i$, $e^{2\pi i/3}$ and $i\infty$ of the modulus $\tau$ 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.