论文标题
在LMA和LMA-D溶液的灯泡柱和对称性实现下，研究逆性中微子质量基质的两零纹理
Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and LMA-D Solutions and Symmetry Realization
论文作者
论文摘要
In this work we have investigated the phenomenological consequences of two-zero textures of \textit{inverse} neutrino mass matrix ($M_ν^{-1}$) in light of the large mixing angle (LMA) and large mixing angle-\textit{dark} (LMA-D) solutions, later of which originates if neutrinos exhibit non-standard interactions with matter.在十五种可能性中，只有$m_ν^{ - 1} $的七个两零纹理在LMA和/或LMA-D描述下被发现是现象学允许的。特别是，五种纹理与LMA和LMA-D解决方案都具有一致性，并且必然违反$ CP $，而剩余的两种纹理仅与LMA解决方案一致。通常，$m_ν^{ - 1} $的消失（1，1）元素的纹理通常不允许。 LMA和LMA-D解决方案下允许的所有纹理都遵循相同的中微子质量层次结构。此外，发现具有$M_ν^{ - 1} $的消失（2，3）元素的纹理被发现不允许或仅与LMA描述一致。我们还获得了该模型对$0νβ$衰减幅度$ | m_ {ee} | $的含义。对于大多数纹理，计算出的$3σ$下限在$ | m_ {ee} | $是$ \ MATHCAL {O}（10^{ - 2}）$，它在$0νβ$衰减实验的灵敏度达到。我们还提出了一种基于离散的非亚伯风味组$ a_4 $的风味模型，其中$m_ν^{ - 1} $的这种纹理可以在类型I Seesaw设置中实现。
In this work we have investigated the phenomenological consequences of two-zero textures of \textit{inverse} neutrino mass matrix ($M_ν^{-1}$) in light of the large mixing angle (LMA) and large mixing angle-\textit{dark} (LMA-D) solutions, later of which originates if neutrinos exhibit non-standard interactions with matter. Out of fifteen possibilities, only seven two-zero textures of $M_ν^{-1}$ are found to be phenomenologically allowed under LMA and/or LMA-D descriptions. In particular, five textures are in consonance with both LMA and LMA-D solutions and are necessarily $CP$ violating while remaining two textures are found to be consistent with LMA solution only. The textures with vanishing (1, 1) element of $M_ν^{-1}$ are, in general, disallowed. All the textures allowed under LMA and LMA-D solutions follow the same neutrino mass hierarchy. Furthermore, textures with vanishing (2, 3) element of $M_ν^{-1}$ are found to be either disallowed or are consistent with LMA description only. We have, also, obtained the implication of the model for $0νββ$ decay amplitude $|M_{ee}|$. For most of the textures the calculated $3σ$ lower bound on $|M_{ee}|$ is $\mathcal{O}(10^{-2})$, which is within the sensitivity reach of $0νββ$ decay experiments. We have, also, proposed a flavor model based on discrete non-Abelian flavor group $A_4$ wherein such textures of $M_ν^{-1}$ can be realized within Type-I seesaw setting.
