论文标题
中微子振荡中的对称性：新图片和$ν$ SM-非职业相互作用
Symmetry in neutrino oscillation in matter: New picture and the $ν$SM -- non-unitarity interplay
论文作者
论文摘要
我们使用$ i \ i \ leftrightarrow J $ State Exchange在Mettrino振荡中更新并总结了我们对Reparametrization对称性的理解的当前状态。我们介绍了一种称为``对称的发现器''（SF）的系统方法，以揭示此类对称性，证明其有效的狩猎能力并检查其特征特征。显然，它们具有局部性质：1-2和1-3的国家交换对称性分别存在于太阳和大气共振周围，并且交换了级别的状态。但是，迄今为止，在全球有效的Denton等人中，不支持这种观点。 （DMP）扰动理论，具有1-2的交换对称性，而不是1-3。这可能是由于缺乏理解，我们找到了比我们所知的更大的对称结构的线索。在本文的后半部分，我们将非职务或违规单位性（UV）介绍给$ν$ sm中微子范式，这是超过$ν$ SM SM SM的低能描述。基于对大气共振和DMP扰动理论的UV扩展版本的分析，我们认为Reparametrize Symmetry具有该理论的诊断能力，具有$ν$ SM和UV领域。关于确定UV $α$参数的转换特性的身份拓扑性质的猜测。
We update and summarize the present status of our understanding of the reparametrization symmetry with $i \leftrightarrow j$ state exchange in neutrino oscillation in matter. We introduce a systematic method called ``Symmetry Finder'' (SF) to uncover such symmetries, demonstrate its efficient hunting capability, and examine their characteristic features. Apparently they have a local nature: The 1-2 and 1-3 state exchange symmetries exist at around the solar- and atmospheric-resonances, respectively, with the level-crossing states exchanged. However, this view is not supported, to date, in the globally valid Denton et al. (DMP) perturbation theory, which possesses the 1-2 exchange symmetry but not the 1-3. It is probably due to lack of our understanding, and we find a clue for a larger symmetry structure than that we know. In the latter part of this article, we introduce non-unitarity, or unitarity violation (UV), into the $ν$SM neutrino paradigm, a low-energy description of beyond $ν$SM new physics at high (or low) scale. Based on the analyses of UV extended versions of the atmospheric-resonance and the DMP perturbation theories, we argue that the reparametrization symmetry has a diagnostics capability for the theory with the $ν$SM and UV sectors. A speculation is given on the topological nature of the identity which determines the transformation property of the UV $α$ parameters.
