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arXiv 1111.2293hep-phhep-ex
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中微子混合和轻子味破坏衰变对Zee模型的影响

Implications of Recent Data on Neutrino Mixing and Lepton Flavour Violating Decays for the Zee Model

Xiao-Gang He, Swarup Kumar Majee

摘要:

我们研究了最近的T2K,MINOS,Double Escherz和MEG的$μ\to e γ$中微子混合数据对Zee模型的影响。这个模型的最简单版本已经被一段时间前的实验数据所排除。一般的Zee模型仍然与最近的数据相一致。我们证明了这一点与约束Zee模型的基础上自然的考虑。在这个约束模型中,只允许中微子质量的倒置质量等级,并且$θ_{13}$必须是非零的,以便在太阳和大气中微子振荡中有正确的中微子质量平方差和混合比。我们的模型对$θ_{13}$的最佳拟合值是由T2 K和MINOS数据得到的$8.91°$,非常接近于由Double Brachiz实验得到的中心值。对于1个$σ$、2个$σ$和3个$σ$范围的其他输入参数,存在具有非零CP违反的解,其中Jarlskog参数分别在$\pm 0.039$、$\pm 0.044$和$\pm 0.048$范围内预测。然而,在对$θ_{13}$参数没有任何约束的情况下,上述相应范围变为$\pm 0.049$、$\pm 0.053$和$\pm 0.056$。我们分析了不同的情况下,以获得一个分支比$μ\to e γ$接近最近的MEG绑定。我们还讨论了$τ$轻子的其他辐射和荷电三轻子味违反衰变模式。

英文摘要:

We study implications of recent data on neutrino mixing from T2K, MINOS, Double Chooz and $μ\to e γ$ from MEG for the Zee model. The simplest version of this model has been shown to be ruled out by experimental data some time ago. The general Zee model is still consistent with recent data. We demonstrate this with a constrained Zee model based on naturalness consideration. In this constrained model, only inverted mass hierarchy for neutrino masses is allowed, and $θ_{13}$ must be non-zero in order to have correct ratio for neutrino mass-squared differences and for mixing in solar and atmospherical neutrino oscillations. The best fit value of our model for $θ_{13}$ is $8.91°$ from T2K and MINOS data, very close to the central value obtained by Double Chooz experiment. There are solutions with non-zero CP violation with the Jarlskog parameter predicted in the range $\pm 0.039$, $\pm 0.044$ and $\pm 0.048$ respectively for a 1$σ$, 2$σ$ and 3$σ$ ranges of other input parameters. However, without any constraint on the $θ_{13}$-parameter above respective ranges become $\pm 0.049$, $\pm 0.053$ and $\pm 0.056$. We analyse different cases to obtain a branching ratio for $μ\to e γ$ close to the recent MEG bound. We also discuss other radiative as well as the charged trilepton flavour violating decay modes of the $τ$-lepton.

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