arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 1003.1438hep-ph
收藏

det（M_v）=0的近似μ-τ对称模型中的Majorana CP破坏

Majorana CP Violation in Approximately μ-τSymmetric Models with det(M_ν)=0

Teppei Baba, Masaki Yasue

备注：
28 pages, 7 Figures, typos in equations and references corrected, version to appear in Prog. Theor. Phys. 123, No. 4 (2010, April)
发表信息：
Prog.Theor.Phys.123:659-686,2010
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文讨论了在味中微子质量相结构一定的情况下，Majorana CP破坏的影响。为了更具预测性，我们将自己限制在具有$\det(M_ν)=0$的模型中，其中$\det(M_ν)=0$是味中微子质量矩阵，并且为了与中微子振荡的观察结果一致，模型服从近似的$μ$ - $τ$对称性。有两类近似的$μ$ - $τ$对称模型，分为（C1）产生$\sin^22θ_{23} \approx 1$和$\sin^2θ_{13} \ll 1$，（C2）产生$\sin^22θ_{23} \approx 1$和$Δm_\odot^2/|Δm_{atm}^2|\ll 1$，其中$θ_{23(13)}$代表大质量中微子$ν_2$和$ν_3$的混合（$ν_1$和$ν_3$），$Δm_ \odot ^2$（$Δm_{atm}^2$）代表大气（太阳）中微子的质量平方差。Majorana相位对于正常质量等级和具有仅在（C1）中实现的$m_1\approx -m_2$的倒置质量等级可以是大的，而对于具有（C1）和（C2）中的$m_1\approx m_2$的倒置质量等级，它们一般是小的。这些结果并不依赖于$M_ν$中相位的特定选择，但在任何具有$\det(M_ν)=0$的模型中都是如此，因为重定相不变性。

英文摘要：

We discuss effects of Majorana CP violation in a model-independent way for a given phase structure of flavor neutrino masses. To be more predictive, we confine ourselves to models with $\det(M_ν)=0$, where $M_ν$ is a flavor neutrino mass matrix, and to be consistent with observed results of the neutrino oscillation, the models are subject to an approximate $μ$-$τ$ symmetry. There are two categories of approximately $μ$-$τ$ symmetric models classified as (C1) yielding $\sin^22θ_{23} \approx 1$ and $\sin^2θ_{13} \ll 1$ and (C2) yielding $\sin^22θ_{23} \approx 1$ and $Δm_\odot^2/|Δm_{atm}^2|\ll 1$, where $θ_{23(13)}$ stands for the mixing of massive neutrinos $ν_2$ and $ν_3$ ($ν_1$ and $ν_3$) and $Δm_ \odot ^2$ ($Δm_{atm}^2$) stands for the mass squared difference for atmospheric (solar) neutrinos. The Majorana phase can be large for the normal mass hierarchy and for the inverted mass hierarchy with $m_1\approx -m_2$ only realized in (C1) while they are generically small for the inverted mass hierarchy with $m_1\approx m_2$ in both (C1) and (C2). These results do not depend on a specific choice of phases in $M_ν$ but hold true in any models with $\det(M_ν)=0$ because of the rephasing invariance.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑