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arXiv 1409.8005hep-ph
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轻子半直接模型中的广义CP和$Δ(6n^2)$族对称性

Generalised CP and $Δ(6n^2)$ Family Symmetry in Semi-Direct Models of Leptons

Gui-Jun Ding, Stephen F. King, Thomas Neder

摘要:

我们进行了详细的分析$Δ(6n^2)$家庭的对称性结合广义CP对称性的轻子部门,打破不同的剩余对称性$G_ν$在中微子和$G_{l}$在带电轻子部门,连同不同的剩余CP对称性在每个部门。我们讨论了由此产生的质量和混合预测的$G_ν=Z_2$与$G_{l}=K_4,Z_p,p>2$和$G_ν=K_4$与$G_{l}=Z_2$。所有的情况下对应于保存的对称性小于完整的克莱因对称性,在半直接的方法,导致预测依赖于一个单一的未确定的真实参数,这主要决定了反应堆的角度。我们专注于五个唯象允许的情况下,我们提出的PMNS参数作为$n$的函数的预测,以及无中微子双β衰变的预测。

英文摘要:

We perform a detailed analysis of $Δ(6n^2)$ family symmetry combined with a generalised CP symmetry in the lepton sector, breaking to different remnant symmetries $G_ν$ in the neutrino and $G_{l}$ in the charged lepton sector, together with different remnant CP symmetries in each sector. We discuss the resulting mass and mixing predictions for $G_ν=Z_2$ with $G_{l}=K_4,Z_p,p>2$ and $G_ν=K_4$ with $G_{l}=Z_2$. All cases correspond to the preserved symmetry smaller than the full Klein symmetry, as in the semi-direct approach, leading to predictions which depend on a single undetermined real parameter, which mainly determines the reactor angle. We focus on five phenomenologically allowed cases for which we present the resulting predictions for the PMNS parameters as a function of $n$, as well as the predictions for neutrinoless double beta decay.

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