Comprehensive analysis of Yukawa hierarchies on $T^2/Z_N$ with magnetic fluxes
Comprehensive analysis of Yukawa hierarchies on $T^2/Z_N$ with magnetic fluxes
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DOI：
10.1103/physrevd.94.035031
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发表时间：
2016-04
影响因子：
5
通讯作者：
Y. Fujimoto;Tatsuo C. Kobayashi;Kenji Nishiwaki;M. Sakamoto;Yoshiyuki Tatsuta
中科院分区：
文献类型：
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作者：
Y. Fujimoto;Tatsuo C. Kobayashi;Kenji Nishiwaki;M. Sakamoto;Yoshiyuki Tatsuta
基于我们之前工作中的分类结果，我们通过评估 具有一对和两个希格斯对的所有可能配置中的三种状态的质量特征值，其中在费米子中实现了三代。由于动力混合的涂抹效应，我们可以实现$10^{-2}$-$10^{-3}$这样的层次结构，但是在复杂的磁化粒子上很难实现上夸克和顶夸克之间的质量比（$m_{\text{up}}/m_{\text{top}} \sim 10^{-5}$） 轨道折叠$T^{2}/Z_{N}\,(N=3,4,6)$。
Based on the result of classification in our previous work, we exhaustively investigate Yukawa sector of $U(8)$ model on magnetized orbifolds $T^{2}/Z_{2}$, $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$ by evaluating ratios of the mass eigenvalues of the three states in all the possible configurations with one and two Higgs pairs where three generations are realized in fermions. Because of smearing effect via kinetic mixing, one can realize a hierarchy such as $10^{-2}$-$10^{-3}$, but it is very difficult to achieve the mass ratio between the up and top quarks ($m_{\text{up}}/m_{\text{top}} \sim 10^{-5}$) on the complicated magnetized orbifolds $T^{2}/Z_{N}\,(N=3,4,6)$.