arXiv 1606.047882016-06-15hep-ph

$θ_{13}\neq0$的II型跷跷板超对称中微子模型

Type II seesaw supersymmetric neutrino model for $θ_{13}\neq0$

R. Ahl Laamara, M. A Loualidi, E. H Saidi

备注：: 45 pages, 4 figures, LaTeX
发表信息：: Phys. Rev. D 93, 113005 (2016)
DOI：: 10.1103/PhysRevD.93.113005

摘要：

利用第二类跷跷板方法和离散味对称群表示的性质，我们建立了一个含$θ_{13}\neq0$的超对称$A_{4}\times A_{3}$中微子模型.在描述了这个模型的基础-这是超越了最小的超对称标准模型-与超场光谱包含黄酮在$A_{4}\times A_{3}$ \表示，我们首先产生的tribimalaminate中微子混合这是已知的是在协议的混合角$θ_{12}$和$θ_{23}$。然后，我们给出了利用$A_{3}$离散次对称性来避免隔离问题的理论的标量势。我们用\textrm{next}研究了用非平凡的$A_{4}$单重态扰动中微子质量矩阵所产生的对三重极大混合矩阵的偏离。正常和倒置的质量层次进行了讨论。我们还研究了在带电轻子扇区中$A_{4}$破缺到$Z_{3}$的情况，并利用剩余对称性所允许的衰变分支比$τ\rightarrow μμe$，得到了一个黄酮的质量和模型的截断尺度$Λ$的估计.

英文摘要：

Using the type II seesaw approach and properties of discrete flavor symmetry group representations, we build a supersymmetric $A_{4}\times A_{3}$\ neutrino model with $θ_{13}\neq0$. After describing the basis of this model--which is beyond the minimal supersymmetric Standard Model--with a superfield spectrum containing flavons in $A_{4}\times A_{3}$\ representations, we first generate the tribimaximal neutrino mixing which is known to be in agreement with the mixing angles $θ_{12}$ and $θ_{23}$. Then, we give the scalar potential of the theory where the $A_{3}$ discrete subsymmetry is used to avoid the so-called sequestering problem. We \textrm{next} study the deviation from the tribimaximal mixing matrix which is produced by perturbing the neutrino mass matrix with a nontrivial $A_{4}$ singlet. Normal and inverted mass hierarchies are discussed numerically. We also study the breaking of $A_{4}$\ down to $Z_{3}$\ in the charged lepton sector, and use the branching ratio of the decay $τ\rightarrow μμe$--which is allowed by the residual symmetry $Z_{3}$--to get estimations on the mass of one of the flavons and the cutoff scale $Λ$ of the model.

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