统一框架下的轻子数破缺
高能物理 - 唯象学
2020-11-05 v4
摘要
我们研究了与带电轻子构成 SU(2) 双重态的中微子的轻子族数的时间演化。轻子族数是通过 SU(2) 双重态的弱基定义的，其中带电轻子质量矩阵为实对角矩阵。中微子所携带的轻子族数是通过中微子族的左手流定义的。我们研究了 Majorana 中微子的轻子族数算符的时间演化。为明确起见，我们在 时引入质量项，并研究此后时刻轻子族数的时间演化。由于味本征态中的算符与质量本征态中的算符连续相连，味本征态的产生和湮灭算符与质量本征态的相应算符相关联。Majorana 中微子的总轻子数守恒。通过选取中微子的特定味本征态作为初态，我们计算了所有轻子族数的时间演化。它们对 Majorana 相和 Dirac 相敏感，也对中微子的绝对质量和质量层级敏感。
引用
@article{arxiv.2004.07664,
title = {Lepton number violation in a unified framework},
author = {Yuta Kawamura and Yamato Matsuo and Takuya Morozumi and Apriadi Salim Adam and Yusuke Shimizu and Yuya Tokunaga and Naoya Toyota},
journal= {arXiv preprint arXiv:2004.07664},
year = {2020}
}
备注
We explain the reason for the withdrawal. In sec.2, the relation between creation and annihilation operators of massless neutrinos and massive Majorana neutrinos were incorrect. Then the total lepton number is not conserved. The figures and the formulae in sec.3 for lepton family numbers and the conclusion that they diverge in the zero momentum limit are also incorrect