论文标题
探索$ a_4 $风味对称性的动力学,使用低尺度的SEESAW机制
Exploring dynamics of $A_4$ flavour symmetry using low scale seesaw mechanisms
论文作者
论文摘要
低尺度的SEESAW模型,例如II型低尺度,逆(ISS)和线性Seesaw(LSS)模型提供了一种有趣的机制,可以在未来的TEV量表实验中进行测试,以获取光中微子质量和混合。可以合并离散的风味对称组,例如$ a_4 $,以解释颗粒的风味结构。但是,到目前为止,对于风味对称的动力学 - 其破裂的比例或Flavon场的VEV对齐,尚无任何了解。在最近的一项研究[1]中,我们研究并阐明了如何使用光中微子振荡数据来查明Flavon场的有利的VEV对准。在这项工作中,我们首次提出了这三种Seesaw模型中光中微子质量对Flavon VEV规模的依赖性的分析,并评论如何使用此信息来区分它们。我们还讨论了可以限制模型的各种耦合常数的常数$ f $的估计值,风味对称性破坏的理论和规模的截止比例。这项研究可以为迄今未知的风味对称性动态提供有用的见解,因此可以成为未来研究模型构建中的重要成分。
Low scale seesaw models, like low scale type II, inverse (ISS), and linear seesaw (LSS) models provide an interesting mechanism to obtain light neutrino masses and mixings, as they can be tested in future TeV scale experiments. Discrete flavour symmetry groups like $A_4$ can be incorporated to explain the flavour structure of particles. But, so far, nothing is known about dynamics of flavour symmetry - scale of its breaking, or VEV alignment of the flavon fields. In a recent study [1], we have investigated and shed light on how to pinpoint the favoured VEV alignment of the flavon field using light neutrino oscillation data. In this work, for the first time, we present an analysis on dependence of light neutrino masses on scale of flavon VEV in these three seesaw models, and comment on how this information can be used to discriminate among them. We also discuss about the estimated value of the constant $F$ which can constrain various coupling constants of the model, cut-off scale of the theory and scale of flavour symmetry breaking. This study can provide useful insight into the hitherto unknown dynamics of flavour symmetry and hence can contribute as an important ingredient in the model building for future studies.