论文标题
中微子质量矩阵模型中的三伴式混合和扩展的魔法对称性
Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
论文作者
论文摘要
三末期混合方案（TM $ _2 $）在\ textIt {``````魔法''}中微子质量矩阵（$m_ν$）in the Plognection in the Magic symerty the Mearding forme forme forme forme forme forme forme forme the Meadings the norders the norders the norder node norder，neutrimino振荡数据已知。模型。中微子混合参数，有效的majorana $ m_ {ee} $和$ cp $不变性（$ j_ {cp}，i_1，i_2 $）可以表现出TM $ _2 $ $ MAXIM $ for $ MAXIM $ utim $ cul $ cul utim $ cul in tm $ _2 $。可在中微子振荡实验中进行测量。衰减实验。 I型+II SEESAW机制。
The trimaximal mixing scheme (TM$_2$) results in \textit{``magic"} neutrino mass matrix ($M_ν$) which is known to accommodate neutrino oscillation data. In this paper, we propose a phenomenological ansatz for $M_ν$ by extending the magic symmetry that leads to further reduction in the number of free parameters, thereby, increasing the predictability of the model. The neutrino mixing parameters, effective Majorana mass $m_{ee}$ and $CP$ invariants ($J_{CP}, I_1,I_2$) are found to exhibit strong correlations for TM$_2$ mixing paradigm. One of the generic feature of the model is the requirement of non-maximal $θ_{23}$ for possible $CP$ violation measurable in neutrino oscillation experiments. The observables $m_{ee}$ and sum of neutrino masses ($\sum m_i$) have imperative implications for yet unknown neutrino mass hierarchy. For inverted hierarchy, the lower bound on $m_{ee}>0.02$ eV, predicted by the model, is found to be within the sensitivity reach of the $0νββ$ decay experiments. Also, cosmological bound of $0.12$ eV on $\sum m_i$, at 95\% CL, refutes inverted hierarchy implying TM$_2$ with normal hierarchy as the only viable possibility in the model. We have, also, illustrated a scenario wherein such a construction of the neutrino mass matrix can be realized using $Δ(54)$ symmetry in the framework of Type-I+II seesaw mechanism.
