A flavor symmetry for quasi-degenerate neutrinos: $L_mu - L_ au$
A flavor symmetry for quasi-degenerate neutrinos: $L_mu - L_ au$
复制标题
准简并中微子的味道对称性：$L_mu - L_ au$
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
W. Rodejohann
中科院分区：
文献类型：
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作者：
S. Choubey;W. Rodejohann
摘要：我们考虑味对称$L_mu-L_ Au$为中微子质量矩阵。最一般的中微子质量守恒矩阵 Au$预言了具有一个最大混合角和两个零混合角的准简并中微子质量。$L_mu - L_的存在 Au$也可以由中微子混合矩阵的近双极大形式激发。此外，它是$mu的特殊情况 Au$对称质量矩阵。通过在中微子质量矩阵中加入一个小的味盲项和/或通过施加辐射校正来打破味对称性，从而重现所观察到的中微子振荡现象。正常和倒置的质量排序可以容纳在这个计划。预期无中微子双β衰变会有适度的抵消。可观测量|UE3| 2和$vert 1/2 -sin ^2 heta_{23}vert$与普通中微子质量标度的四次方的倒数成正比。我们评论是否大气中的中微子混合预计将高于或低于$π/4$。最后我们提出了一个基于跷跷板机制的模型，该模型产生的轻中微子质量矩阵（近似）为$L_mu - L_ Au$味对称。这是一个最小模型，只有一个标准的希格斯偶极子和三个重右手中微子。它只需要软$L_mu - L_的小值 Au$打破条款再现现象可行的质量纹理分析。
Abstract.We consider the flavor symmetry $L_mu - L_ au$ for the neutrino mass matrix. The most general neutrino mass matrix conserving $L_mu - L_ au$ predicts quasi-degenerate neutrino masses with one maximal and two zero mixing angles. The presence of $L_mu - L_ au$ can also be motivated by the near-bimaximal form of the neutrino mixing matrix. Furthermore, it is a special case of $mu au$ symmetric mass matrices. Breaking the flavor symmetry by adding a small flavor-blind term to the neutrino mass matrix and/or by applying radiative corrections is shown to reproduce the observed neutrino oscillation phenomenology. Both the normal and inverted mass ordering can be accommodated within this scheme. Moderate cancellation for neutrinoless double beta decay is expected. The observables |Ue3|2 and $vert 1/2 - sin^2 heta_{23}vert$ are proportional to the inverse of the fourth power of the common neutrino mass scale. We comment on whether the atmospheric neutrino mixing is expected to lie above or below $pi/4$. We finally present a model based on the see-saw mechanism which generates a light neutrino mass matrix with an (approximate) $L_mu - L_ au$ flavor symmetry. This is a minimal model with just one standard Higgs doublet and three heavy right-handed neutrinos. It needs only small values for the soft $L_mu - L_ au$ breaking terms to reproduce the phenomenological viable mass textures analyzed.