arXiv 1004.34692010-04hep-ph

$S_4$对称性的跷跷板模型中无中微子双β衰变与稀薄发生之间的直接联系

A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry

Y. H. Ahn, Sin Kyu Kang, C. S. Kim, T. Phong Nguyen

备注：: 9 pages, 6 figures, references added, accepted in Phy.Rev.D
发表信息：: Phys.Rev.D82:093005,2010
DOI：: 10.1103/PhysRevD.82.093005

摘要：

我们研究了如何在具有$S_4$味对称性的跷跷板模型中实现轻子生成，从而得到中微子三双峰混合矩阵和简并右手中微子谱。在RH中微子质量矩阵中引入一个微小的软$S_4$对称破缺项，我们证明了有味共振轻子生成是可以成功实现的，它可以大大降低跷跷板的尺度，从而使在对撞机中探测成为可能。即使这样一个微小的软破缺项是必不可少的leptogenesis，它不会显着影响低能量的可观测。我们还研究了如何利用低能观测量的实验数据来预测与无中微子双β衰变相关的轻中微子有效质量$|<m_{ee}> |$以及中微子质量等级。我们发现，通过高能CP相$ϕ$（与低能Majorana CP相相关），由$|<m_{ee}>|$表征的轻中子生成和无中微子双β衰变之间存在直接联系。结果表明，我们对某些高能物理固定参数的$|<m_{ee}>|$预言可以受到重子不对称性的约束。

英文摘要：

We study how leptogenesis can be implemented in a seesaw model with $S_4$ flavor symmetry, which leads to the neutrino tri-bimaximal mixing matrix and degenerate right-handed (RH) neutrino spectrum. Introducing a tiny soft $S_4$ symmetry breaking term in the RH neutrino mass matrix, we show that the flavored resonant leptogenesis can be successfully realized, which can lower the seesaw scale much so as to make it possible to probe in colliders. Even though such a tiny soft breaking term is essential for leptogenesis, it does not significantly affect the low energy observables. We also investigate how the effective light neutrino mass $|<m_{ee}> |$ associated with neutrinoless double beta decay can be predicted along with the neutrino mass hierarchies by imposing experimental data of low-energy observables. We find a direct link between leptogenesis and neutrinoless double beta decay characterized by $|<m_{ee}>|$ through a high energy CP phase $ϕ$, which is correlated with low energy Majorana CP phases. It is shown that our predictions of $|<m_{ee}>|$ for some fixed parameters of high energy physics can be constrained by the current observation of baryon asymmetry.

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