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arXiv 1105.6064hep-ph
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局域$B-L$对称性模型中的准Dirac中微子

Quasi-Dirac neutrinos in a model with local $B-L$ symmetry

A. C. B. Machado, V. Pleitez

摘要:

在具有$B-L$规范对称性的模型中,右手中微子可能具有奇异的$B-L$局域电荷分配:其中两个具有$B-L=-4$,另一个具有$B-L=5$。因此,自然地,将具有相同$B-L$电荷的右手中微子容纳在离散$S_3$对称性的双重态中,而将第三个容纳在单一态中。如果右手中微子的Yukawa相互作用在$S_3$下是不变的,那么在这个模型中准Dirac中微子方案自然产生。然而,我们将说明在这个方案中如何能够给出一个与大亚湾核电站结果一致的$θ_{13}$值。例如,在涉及右手带电轻子的汤川相互作用中,$S_3$对称性必须破缺。

英文摘要:

In a model with $B-L$ gauge symmetry, right-handed neutrinos may have exotic local $B-L$ charge assignment: two of them with $B-L=-4$ and the other one having $B-L=5$. Then, it is natural to accommodate the right-handed neutrinos with the same $B-L$ charge in a doublet of the discrete $S_3$ symmetry, and the third one in a singlet. If the Yukawa interactions involving right-handed neutrinos are invariant under $S_3$, the quasi-Dirac neutrino scheme arise naturally in this model. However, we will show how in this scheme it is possible to give a value for $θ_{13}$ in agreement with the Daya Bay results. For example the $S_3$ symmetry has to be broken in the Yukawa interactions involving right-handed charged lepton.

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