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arXiv 1507.02582hep-ph
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逆跷跷板中循环对称破缺的最大零纹理

Probing maximal zero textures with broken cyclic symmetry in inverse seesaw

Rome Samanta, Ambar Ghosal

备注：
14 pages, 19 figures, 6 tables, To appear in NPB
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摘要：

在逆跷跷板机制的框架下，我们研究了具有最大零纹理（6个零纹理）的循环对称不变的中微子质量矩阵（$Z_3$）。我们探讨了两种不同的方法来获得循环对称不变形式的组成矩阵。在第一个中，我们认为明确的循环对称性的中微子部门的拉格朗日指示出现的有效中微子质量矩阵（$m_ν$）是对称不变的，因此导致质量的简并。然后，我们考虑明确打破的对称性，通过一个无量纲参数$ε^{\prime}$，以消除简并。结果表明，即使考虑了循环对称不变带电轻子质量矩阵（$m_l$）的修正，该方法也不支持当前中微子振荡的整体拟合数据，除非破缺参数太大.在第二种方法中，我们假设中微子质量矩阵的形式相同，但对称性在带电轻子扇区中被破缺。质量矩阵的所有结构现在都由拉格朗日量中某个较大对称群的有效剩余对称性决定。为了说明，我们构造了一个玩具模型，该模型基于软破缺的$A_4$对称群，该对称群导致$m_l$、$m_D$、$M_{RS}$和$μ$的组合之一，以生成有效的$m_ν$。所有出现的质量矩阵预测的约束范围的CP违反相位和大气混合角以及一个倒置的中微子质量的层次结构。此外，还对$β\beta0ν$衰变参数$|m_{11}|$和三个轻中微子质量之和（$Σ_im_i$）进行了有意义的预言.

英文摘要：

Within the framework of inverse seesaw mechanism we investigate neutrino mass matrices invariant under cyclic symmetry ($Z_3$) with maximal zero texture (6 zero textures). We explore two different approaches to obtain the cyclic symmetry invariant form of the constituent matrices. In the first one we consider explicit cyclic symmetry in the neutrino sector of the Lagrangian which dictates the emerged effective neutrino mass matrix ($m_ν$) to be symmetry invariant and hence leads to a degeneracy in masses. We then consider explicit breaking of the symmetry through a dimensionless parameter $ε^{\prime}$ to remove the degeneracy. It is seen that the method doesn't support the current neutrino oscillation global fit data even after considering the correction from cyclic symmetry invariant charged lepton mass matrix ($m_l$) unless the breaking parameter is too large. In the second method, we assume the same forms of the neutrino mass matrices, however, symmetry is broken in the charged lepton sector. All the structures of the mass matrices are now dictated by an effective residual symmetry of some larger symmetry group in the Lagrangian. For illustration, we exemplify a toy model based on softly broken $A_4$ symmetry group which leads to one of the combination of $m_l$, $m_D$, $M_{RS}$ and $μ$ to generate effective $m_ν$. All the emerged mass matrices predict a constraint range of the CP violating phases and atmospheric mixing angle along with an inverted hierarchical structure of the neutrino masses. Further, significant predictions on $β\beta0ν$ decay parameter $|m_{11}|$ and the sum of the three light neutrino masses ($Σ_im_i$) are also obtained.

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