论文标题
在统一框架中违反Lepton数字
Lepton number violation in a unified framework
论文作者
论文摘要
我们研究了用带电的Lepton形成SU（2）Doublet的中微子的Lepton家族数的时间演变。 Lepton家族数是通过SU（2）Doublet的弱基础来定义的，其中带电的Lepton Mass Matrix是一个真实的对角线。中微子携带的Lepton家庭编号是用中微子家族的左手电流定义的。我们研究Majorana Neutrino的Lepton家庭数量运营商的时间演变。确定的是，我们在$ t = 0 $中介绍了质量术语，并在以后的时间研究Lepton家庭编号的时间演变。由于具有风味特征状态的操作员连续连接到大众特征态的操作员，因此风味本征征的创造和an灭操作员与大众特征态的特征态相关。 Majorana中微子的Lepton总数得到了保存。通过选择中微子的特定风味本征态作为初始状态，我们计算所有Lepton家族数量的时间演变。它们对Majorana和Dirac相敏感，并且对中微子的绝对质量和质量等级也敏感。
We study the time evolution of lepton family number for neutrino which forms SU(2) doublet with charged lepton. The lepton family number is defined through a weak basis of SU(2) doublet in which the charged lepton mass matrix is a real and diagonal one. The lepton family number carried by the neutrino is defined with a left-handed current of the neutrino family. We study the time evolution of the lepton family number operator for Majorana neutrino. To be definite, we introduce the mass term at $t=0$ and study the time evolution of the lepton family number for the later time. Since the operator in flavor eigenstate is continuously connected to that of the mass eigenstate, the creation and annihilation operators for flavor eigenstates are related to those of mass eigenstates. The total lepton number of the Majorana neutrino is conserved. By choosing a specific flavor eigenstate of neutrino as an initial state, we compute the time evolution of all lepton family numbers. They are sensitive to Majorana and Dirac phases and also are sensitive to the absolute mass and mass hierarchy of neutrinos.
