Flavor structure leading to hierarchical Yukawa couplings and Supersymmetry breaking

理解费米子质量和混合角的起源是粒子物理学中的重要问题之一。在超对称模型的框架内，一种导致现实的汤川矩阵的机制通常会影响费米子质量和所谓的A项。这些通过FCNC工艺的超对称破缺项的简并有严格的实验界限。有鉴于此，我们研究了几种风味机理，其中一种是超对称标准模型与超共形扇形耦合，它具有超共形不动点。在这类模型中，超保角动力学产生大的反常维度，导致Yukawa耦合被层次化抑制，同时控制Sfermion质量使其简并。我们还研究了5D ADS背景下的风味机理，得到了与超保角方法相同的结果。我们还研究了以S_3对称性为风味对称性的模型。这种对称性在文献中已经被研究过了，但在高能下它被打破了。然而，我们的模型的新之处在于，我们扩展了希格斯扇区，并将S_3对称性也强加到了希格斯扇区。S_3对称性在弱电标度附近被破坏。此外，我们还计算了包含多个模数的杂化模型中的Yukawa耦合，例如连续的威尔逊线模。我们的一个重要结果是，在Yukawa扇区，只有Kahler模的虚部贡献了物理CP相，而其他模，如连续和离散的威尔逊线则没有贡献。

Understanding the origin of fermion masses and mixing angles is one of important issues in particle physics. Within the framework of supersymmetric models, a mechanism to lead to realistic Yukawa matrices, in general, affects sfermion masses as well as the so-called A-terms. There are stringent experimental bounds on degeneracies of these SUSY breaking terms through FCNC processes. Taking into account these points, we have studied several types of flavor mechanisms.One type of flavor mechanisms which we have studied is supersymmetric standard models coupled with superconformal sectors, which have superconformal fixed points. In this type of models, superconformal dynamics generates large anomalous dimensions leading to hierarchically suppressed Yukawa couplings and at the same time controls sfermion masses so as to make them degenerate. Also we have studied flavor mechanism with 5D AdS background, which leads to the same result as the superconformal approach.We have also studied the model, which has S_3 symmetry as a flavor symmetry. Such symmetry has been studied in the literature, but it is broken at high energy. However, what is new in our model is that we extend the Higgs sector and impose the S_3 symmetry to the Higgs sector, too. The S_3 symmetry is broken around the electroweak scale. Such symmetry play a role in controlling SUSY breaking terms, so as to be consistent with experimental bounds on FCNC processes.Furthermore, we have also calculated Yukawa couplings in heterotic orbifold models including several moduli, e.g. continuous Wilson line moduli. One of our important results is that only the imaginary part of Kahler moduli contributes the physical CP phase in the Yukawa sector, while the other moduli, e.g. continuous and discrete Wilson lines do not contribute.