arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.07664hep-ph
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统一框架下的轻子数破坏

Lepton number violation in a unified framework

Yuta Kawamura, Yamato Matsuo, Takuya Morozumi, Apriadi Salim Adam, Yusuke Shimizu, Yuya Tokunaga, Naoya Toyota

摘要:

研究了中微子与带电轻子形成SU(2)二重态时轻子族数的时间演化。轻子族数是通过SU(2)偶极子的弱基定义的,其中带电轻子质量矩阵是实对角矩阵。用中微子族的左手流定义了中微子携带的轻子族数。研究了Majorana中微子轻子族数算符的时间演化。为了明确起见,我们在$t=0$上引入质量项,并研究了轻子族数的时间演化。由于味本征态的算符与质量本征态的算符连续相连,味本征态的产生算符和湮灭算符与质量本征态的产生算符和湮灭算符相关。马约拉纳中微子的轻子总数是守恒的。通过选取中微子的一个特定味本征态作为初始态,计算了轻子族数随时间的演化。它们对Majorana相和Dirac相敏感,对中微子的绝对质量和质量等级也敏感。

英文摘要:

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.

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