论文标题
在中微子质量和混合的辐射校正下，偏离落叶和黄金比率混合的偏差
Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings
论文作者
论文摘要
使用两种不同的混合模式（例如三个不同的混合（TBM）混合（GR）混合（GR）混合，在与三个中微子（TBM）混合（GR）混合（GR）混合中，与三个中性的混合（GR）混合，在与三个中微子（TBM）混合（GR）混合（GR）混合中，在最小的超对称标准模型（MSSM）中研究了重新归一化组方程（RGE）对高能超对称标准模型（MSSM）中中微子质量和混合的影响_ {i} | m_ {i} | $。通过给出适当的输入质量，从TBM混合矩阵和GR混合矩阵以高能量尺度在高能量中获得中微子质量和低能尺度的混合角度的宏伟质量。高能尺度，$ m_ {r} $，例如$ 10^{13} $ gev，$ 10^{14} $ gev，$ 10^{15} $ gev在分析中使用。大太阳能（$θ_{12} $）和大气（$θ_{23} $）中微子混合角度与零反应堆角（$θ_{13} $）的TBM混合矩阵和GR混合矩阵的高度级别可以放大反应器角度（$θ_{13} $ scale in 3 $ scale in 3 $ scale in 3 $ scape in 3 $ fipertor tbm comploy tbm中的反应堆（$θ_{13} $）。在这里解决了正常层次结构（NH）和倒立层次结构（IH）的案例。在正常的层次结构中，发现$θ_{23} \ simeq51.1^{\ circ} $，并且在两种混合模式中的反向层次结构案例中为$θ_{23} \ simeq39.1^{\ simeq39.1^{\ simeq39.1^{\ circ} $。 $θ_{23}> 45^{\ circ} $或$θ_{23} <45^{\ circ} $的可能性以低度观察到。分析显示了高能尺度上两个混合模式的有效性。
The impact of renormalization group equations(RGEs) on neutrino masses and mixings at high energy scales in Minimal Supersymmetric Standard Model(MSSM) is studied using two different mixing patterns such as Tri-Bimaximal(TBM) mixing and Golden Ratio(GR) mixing in consistent with cosmological bound of the sum of three neutrino masses, $\sum _{i}|m_{i}|$. Magnifications of neutrino masses and mixing angles at low energy scale, are obtained by giving proper input masses, and mixing angles from TBM mixing matrix and GR mixing matrix at high energy scales. High energy scales, $M_{R}$ such as $10^{13}$GeV,$10^{14}$GeV,$10^{15}$GeV are employed in the analysis. The large solar($θ_{12}$) and atmospheric($θ_{23}$) neutrino mixing angles with zero reactor angle ($θ_{13}$) from both TBM mixing matrix and GR mixing matrix at high scale, can magnify the reactor angle($θ_{13}$) at low energy scale in 3$σ$ confidence level. Both cases of normal hierarchy(NH) and inverted hierarchy(IH) are addressed here. In normal hierarchical case, it is found that $θ_{23}\simeq51.1^{\circ}$ and that in inverted hierarchical case is $θ_{23}\simeq39.1^{\circ}$ in both mixing patterns. Possibility of $θ_{23}>45^{\circ}$ or $θ_{23}<45^{\circ}$ is observed at low scale. The analysis shows the validity of the two mixing patterns at high energy scale.
