论文标题
在退化主要中微子质量的情况下，CP保护的足够和必要条件
Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
论文作者
论文摘要
在本文中，我们对Leptonic部门的CP保护足够和必要的条件进行了系统的研究，具有大量的主要中微子。特别是，重点是在存在部分质量退化的情况下的CP侵入阶段的数量（例如，$ m^{} _ 1 = m^{} _ 2 \ neq m^{}} _ 3 $） $ m^{} _ i $（对于$ i = 1，2，3 $）代表三个普通中微子的群众。在具有三个右手中微子单点的规范上的Seesaw模型中，在部分的特殊情况下（例如$ m^{} _ 1 = m^{} _ 2 \ 2 \ neq m^{} _ 3 $ 3 $）或完整（I.e.还检查了三个沉重的主要中微子的退化。此外，我们还通过具有主要中微子的一般质谱来得出有效理论中弱基础不变的重新归一化组方程，在该理论中，解决方案在低能和高能量表下溶液之间建立了CP违规之间的直接联系。
In this paper, we carry out a systematic study of the sufficient and necessary conditions for CP conservation in the leptonic sector with massive Majorana neutrinos. In particular, the emphasis is placed on the number of CP-violating phases in the presence of a partial mass degeneracy (e.g., $m^{}_1 = m^{}_2 \neq m^{}_3$) or a complete mass degeneracy $m^{}_1 = m^{}_2 = m^{}_3$, where $m^{}_i$ (for $i = 1, 2, 3$) stand for the masses of three ordinary neutrinos. In the canonical seesaw model with three right-handed neutrino singlets, CP-violating phases in the special case of a partial (e.g., $M^{}_1 = M^{}_2 \neq M^{}_3$) or complete (i.e., $M^{}_1 = M^{}_2 = M^{}_3$) mass degeneracy of three heavy Majorana neutrinos are also examined. In addition, we derive the renormalization-group equations of the weak-basis invariants in the effective theory with a general mass spectrum of Majorana neutrinos, to which the solutions establish the direct connection between CP violation at low- and high-energy scales.
