论文标题
与非军事物质的中微子振荡中的对称性
Symmetry in neutrino oscillation in matter with non-unitarity
论文作者
论文摘要
最近，我们开发了一种称为``对称查找器''（SF）的方法，用于在物质中捕捉三中性系统中的重复对称对称性。在这里，我们将SF应用于Denton {\ it等}（DMP）扰动理论扩展到通过包括单位性侵犯（UV），这是$ν$ SM以外的物理学的低能表现。在SF框架中实施紫外线会产生其他两个非常不同的约束，尽管如此，八个dmp-uv对称性都允许非常一致的解决方案。处理其中一个的处理，即真正的非独立部分，导致关键的身份，这需要仅通过重新播放而导致UV $α$参数转换，从而创新了汉密尔顿人的不变性证明。对称性的量子机械性质决定了$ν$ SM和UV变量共同转换，这两个部门的响应与揭示其相互作用有关。因此，对称性可以用于诊断工具，探测$ν$ SM和对新物理学的低能描述之间的相互关系。对真空中的SF对称性问题进行重新审视，以完成类似于DMP的八个对称性。
Recently we have developed a method called ``Symmetry Finder'' (SF) for hunting the reparametrization symmetry in the three-neutrino system in matter. Here, we apply SF to the Denton {\it et al.} (DMP) perturbation theory extended by including unitarity violation (UV), a possible low-energy manifestation of physics beyond the $ν$SM. Implementation of UV into the SF framework yields the additional two very different constraints, which nonetheless allow remarkably consistent solutions, the eight DMP-UV symmetries. Treatment of one of the constraints, the genuine non-unitary part, leads to the key identity which entails the UV $α$ parameter transformation only by rephasing, which innovates the invariance proof of the Hamiltonian. The quantum mechanical nature of the symmetry dictates the both $ν$SM and UV variables to transform jointly, through which the response of the two sectors are related to reveal their interplay. Thus, the symmetry can serve for a tool for diagnostics, probing the interrelation between the $ν$SM and a low-energy description of new physics. Problem of SF symmetry in vacuum is revisited to complete eight symmetries akin to DMP's.
