论文标题
固定点上的夸克质量矩阵的纹理零，$τ=ω$模块化风味对称性
Texture zeros of quark mass matrices at fixed point $τ=ω$ in modular flavor symmetry
论文作者
论文摘要
我们研究了特定纹理零的系统推导，这是固定点$τ=ω$在模块化风味对称模型中的Quark质量矩阵最近的邻居相互作用（NNI）形式。我们介绍了模型，即通过使用帐户多基格斯字段，在$ a_4 $模块化风味对称性中的固定点$τ=ω$中简单地实现了夸克质量矩阵的NNI形式。此类纹理零结构源自剩余对称的$ st $费用$ z_3 $ of $ sl（2，z）$。 NNI表格可以在$ a_4 $中的固定点$τ=ω$和$ s_4 $模块化风味模型中，当我们将正确的模块化权重与Yukawa耦合以及$ a_4 $和$ s_4 $表示的三代quarks分配给三代。我们需要四对希格斯字段来实现$ A_5 $模块化风味模型的NNI形式。
We study systematically derivation of the specific texture zeros, that is the nearest neighbor interaction (NNI) form of the quark mass matrices at the fixed point $τ=ω$ in modular flavor symmetric models. We present models that the NNI forms of the quark mass matrices are simply realized at the fixed point $τ=ω$ in the $A_4$ modular flavor symmetry by taking account multi-Higgs fields. Such texture zero structure originates from the $ST$ charge of the residual symmetry $Z_3$ of $SL(2,Z)$. The NNI form can be realized at the fixed point $τ= ω$ in $A_4$ and $S_4$ modular flavor models with two pairs of Higgs fields when we assign properly modular weights to Yukawa couplings and $A_4$ and $S_4$ representations to three generations of quarks. We need four pairs of Higgs fields to realize the NNI form in $A_5$ modular flavor models.
