论文标题
关于混合中微子的风味/质量二分法：基于Lepton电荷保护的中子衰变中的现象学动机分析
On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay
论文作者
论文摘要
混合场的风味/质量二分法是量子场理论中最具争议的问题之一。在这项工作中，我们通过考虑将中微子混合并计算范式中子中子$β$ -decay $ n \，\ rightArrow \，p \，+\，e^ \，+\，\ bar维$来解决问题。通过利用中微子状态的以下不同表示来开发计算：\ emph {i}）pontecorvo状态，\ emph {ii}）质量状态和\ emph {iii}）精确的QFT风味状态，这些状态定义为风味电荷的特征。作为指导原则，我们在相互作用顶点中调用了Lepton电荷的保护，从根本上讲，该基本在树级别内构成了标准模型。在短时限制中，我们表明唯一完全一致的情况是基于QFT状态，而其他两个框架与基本理论相矛盾。该结果为理解弱衰变中的中微子混合的ro提供了至关重要的步骤，并有助于阐明QFT中的风味/质量争议。
Flavor/mass dichotomy} for mixed fields is one of the most controversial issues in Quantum Field Theory. In this work we approach the problem by considering mixing of neutrinos and computing the transition amplitude for the paradigmatic neutron $β$-decay $n\,\rightarrow\, p \,+\,e^ \,+\,\barν$. Calculations are developed by utilizing the following different representations of neutrino states: \emph{i}) Pontecorvo states, \emph{ii}) mass states and \emph{iii}) exact QFT flavor states, which are defined as eigenstates of the flavor charge. As a guiding principle, we invoke the conservation of lepton charge in the interaction vertex, which is fundamentally inbuilt into the Standard Model at tree level. In the short-time limit, we show that the only fully consistent scenario is that based on QFT states, whereas the other two frameworks contradict the underlying theory. This result provides a crucial step towards understanding the rôle of neutrino mixing in weak decays and contributes to elucidate the flavor/mass controversy in QFT.
