Yukawa textures in modular symmetric vacuum of magnetized orbifold models
Yukawa textures in modular symmetric vacuum of magnetized orbifold models
复制标题
磁化轨道模型的模块化对称真空中的汤川纹理
DOI：
10.1093/ptep/ptac035
复制
发表时间：
2022
影响因子：
3.5
通讯作者：
Uchida Hikaru
中科院分区：
文献类型：
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作者：
Kikuchi Shota;Kobayashi Tatsuo;Ogawa Yuya;Uchida Hikaru
我们研究了由磁化的奥比福尔德模型导出的夸克质量矩阵。τ=i，e2πi/3，∞三个模不动点上的汤川矩阵在-变换、ST-变换和T-变换下是不变的。我们研究了扭转奥比福尔德上的这些不变性。我们发现汤川矩阵具有一种织构结构，尽管在τ=I∞处的织构是不现实的。我们在τ=iande2πI/3上对汤川织构进行了分类，并研究了由汤川织构构造的夸克质量矩阵成为近似一阶矩阵的条件，这有利于导致第三代和其他代之间的分级质量。结果表明，在T不变真空和ST不变真空附近可以得到真实的夸克质量矩阵。作为一个例子，我们展示了基于Fritzch和Fritzch-Xing质量矩阵的夸克质量比和混合的实现。
We study quark mass matrices derived from magnetizedorbifold models. Yukawa matrices at three modular fixed points, τ =i,e2πi/3, andi∞, are invariant underS-,ST-, andT-transformations. We study these invariances on thetwisted orbifold. We find that Yukawa matrices have a kind of texture structure, although those at τ =i∞ are not realistic. We classify the Yukawa textures at τ =iande2πi/3. Moreover we investigate the conditions such that the quark mass matrix constructed by Yukawa textures becomes approximately a rank-one matrix, which is favorable to lead to hierarchical masses between the third generation and the others. It is found that realistic quark mass matrices can be obtained around theS-invariant andST-invariant vacua. As an illustrative example, we show the realization of the quark mass ratios and mixing based on Fritzch and Fritzch–Xing mass matrices.