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arXiv 1005.0045hep-ph
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SO(10)中的准简并中微子

Quasi-degenerate neutrinos in SO(10)

Anjan S. Joshipura, Ketan M. Patel

摘要:

基于$SO(10)$规范群的大统一理论中固有的夸克轻子普适性一般会导致中微子质量的分级。我们提出了一个具体的分析的汤川矩阵的结构在$SO(10)$模型,这不同于这种一般的预期,并导致准简并中微子通过I型跷跷板机制。通过对费米子质量和混合角的详细拟合,证明了该模型的一致性,所有这些都可以在一个模型中以合理的精度得到解释,该模型使用Higgs场变换为$SO(10)$的$10,120$和$\overline{126}$表示。所提出的ananterior是从一个扩展的模型的基础上的三代矢量像费米子和$O(3)$味对称。成功的数值拟合也讨论了在早期提出的模型,其中使用的组合的I型和II型跷跷板机制获得准简并中微子。在这两种情况下,大的中微子混合角都是中微子质量简并的结果。

英文摘要:

Quark lepton universality inherent in grand unified theories based on $SO(10)$ gauge group generically leads to hierarchical neutrino masses. We propose a specific ansatz for the structure of Yukawa matrices in $SO(10)$ models which differ from this generic expectations and lead to quasi degenerate neutrinos through the type-I seesaw mechanism. Consistency of this ansatz is demonstrated through a detailed fits to fermion masses and mixing angles all of which can be explained with reasonable accuracy in a model which uses the Higgs fields transforming as $10,120$ and $\overline{126}$ representations of $SO(10)$. The proposed ansatz is shown to follow from an extended model based on the three generations of the vector like fermions and an $O(3)$ flavour symmetry. Successful numerical fits are also discussed in earlier proposed models which used combination of the type-I and type-II seesaw mechanisms for obtaining quasi degenerate neutrinos. Large neutrino mixing angles emerge as a consequence of neutrino mass degeneracy in both these cases.

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