arXiv 1701.017472017-01hep-ph

非最小平坦${\bf S}_{3}\otimes {\bf Z}_{2} $左右对称模型

Non-Minimal Flavored ${\bf S}_{3}\otimes {\bf Z}_{2} $ Left-Right Symmetric Model

Juan Carlos Gómez-Izquierdo

备注：: Version three. I added references and corrected typos. 19 pages. All figures replaced, section II changed. Analytic study improved. Conclusions unchanged
DOI：: 10.1140/epjc/s10052-017-5094-0

摘要：

我们提出了一个具有宇称对称性的非最小左右对称模型（LRSM），其中费米子混合是由于施加${\bf S}_{3}\otimes {\bf Z}_{2}$味对称性而产生的，而额外的${\bf Z}^{e}_{2}$对称性被认为可以抑制轻子扇区中的Yukawa耦合.因此，有效中微子质量矩阵近似具有$μ-τ$对称性。$μ-τ$对称性的破缺导致了相当大的非零$θ_{13}$，并且$θ_{23}$与$45^{\circ}$的偏离强烈地受$ε$自由参数和复中微子质量的控制。然后，分析研究的极端马约拉纳相位，因为这些变成相关的，以提高或抑制反应堆和大气角。这样我们就限制了$ε$参数和最轻中微子质量的参数空间，以适应混合角。突出的结果是：a）对于马约拉纳相位的任何值，由于反应堆角度都很小，所以排除了正常的层次结构; b）对于倒置的层次结构，在极端相位中存在一种组合，其中反应堆和大气角度的值在C的$2, 3~σ$以下是相容的。L.，但参数空间是紧的; c）该模型有利于一个组合在极端Majorana相位的退化排序。在这种情况下，反应堆和大气的角度是兼容的自由参数的一个大的值集的实验数据。因此，这个模型可以通过Nova和KamLAND-Zen合作提供的未来结果进行测试。

英文摘要：

We propose a non-minimal left-right symmetric model (LRSM) with Parity Symmetry where the fermion mixings arise as result of imposing an ${\bf S}_{3}\otimes {\bf Z}_{2}$ flavor symmetry, and an extra ${\bf Z}^{e}_{2}$ symmetry is considered to suppress some Yukawa couplings in the lepton sector. As a consequence, the effective neutrino mass matrix possesses approximately the $μ-τ$ symmetry. The breaking of the $μ-τ$ symmetry induces sizable non zero $θ_{13}$, and the deviation of $θ_{23}$ from $45^{\circ}$ is strongly controlled by an $ε$ free parameter and the complex neutrino masses. Then, an analytic study on the extreme Majorana phases is done since these turn out to be relevant to enhance or suppress the reactor and atmospheric angle. So that we have constrained the parameter space for the $ε$ parameter and the lightest neutrino mass that accommodate the mixing angles. The highlighted results are: a) the normal hierarchy is ruled out since the reactor angle comes out being tiny, for any values of the Majorana phases; b) for the inverted hierarchy there is one combination in the extreme phases where the values of the reactor and atmospheric angles are compatible up to $2, 3~σ$ of C. L., but the parameter space is tight; c) the model favors the degenerate ordering for one combination in the extreme Majorana phases. In this case, the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. Therefore, this model may be testable by the future result that the Nova and KamLAND-Zen collaborations will provide.

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摘要：

英文摘要：

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