论文标题
最小的Froggatt-Nielsen纹理
Minimal Froggatt-Nielsen Textures
论文作者
论文摘要
标准模型的风味问题可以通过Froggatt-Nielsen(FN)机制解决。在这项工作中,我们开发了一种研究FN纹理的方法,通过风味空间中的单一转换在FN递送分配与测量的质量和混合角度之间建立了直接联系。我们特别关注夸克行业,以确定能够提供对风味难题的动态和自然理解的最经济的FN模型。值得注意的是,我们发现可行的FN纹理,涉及水平对称性下的电荷,这些电荷在绝对值中不超过一个(以Flavon电荷的单位为单位)。在我们的方法中,我们还通过类似于Barbieri-Giudice的度量来探索FN模型的调整程度,以解决风味问题。我们发现,大多数解决方案不涉及风味空间中特殊的取消。
The flavour problem of the Standard Model can be addressed through the Froggatt-Nielsen (FN) mechanism. In this work, we develop an approach to the study of FN textures building a direct link between FN-charge assignments and the measured masses and mixing angles via unitary transformations in flavour space. We specifically focus on the quark sector to identify the most economic FN models able to provide a dynamical and natural understanding of the flavour puzzle. Remarkably, we find viable FN textures, involving charges under the horizontal symmetry that do not exceed one in absolute value (in units of the flavon charge). Within our approach, we also explore the degree of tuning of FN models in solving the flavour problem via a measure analogous to the Barbieri-Giudice one. We find that most of the solutions do not involve peculiar cancellations in flavour space.