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arXiv 0712.2628hep-ph
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强标度反射的跷跷板实现中的可能织构及其对热致轻生的意义

The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis

Midori Obara

摘要:

本文在$M_ν=-M_D^T M_R^{-1} M_D$的框架下,对Dirac和右手Majorana中微子质量矩阵$M_D$和$M_R$的结构进行了分类,它们满足所谓的“强标度Ansatz”(SSA).我们假设狄拉克中微子质量矩阵有一些纹理零,并考虑到所有可能的纹理$M_R$,检查哪些元素应该是零,以满足SSA。我们发现,由此产生的狄拉克中微子质量矩阵的秩2以及有效中微子质量矩阵$M_ν$的秩,或秩1,仅取决于$M_R^{-1}$的纹理。通过在$M_ν$中引入一个复破缺参数,我们还考虑了SSA破缺的三种情况,并证明了它可以在轻子扇区中产生CP破坏以及非零的$m_3$和$U_{e3}$ .我们进一步讨论了在$M_R$为对角的基上满足和破坏SSA的两种情况下的热瘦生作用的意义。

英文摘要:

We classify the textures of the Dirac and the right-handed Majorana neutrino mass matrices, $M_D$ and $M_R$, which can satisfy the so-called ``Strong Scaling Ansatz'' (SSA) within the framework of the seesaw mechanism $M_ν=-M_D^T M_R^{-1} M_D$. We assume that the Dirac neutrino mass matrix has some texture zeros and examine which elements should be zero in order to satisfy the SSA, by taking into account all possible textures for $M_R$. We find that the resulting Dirac neutrino mass matrices have rank 2 as well as the rank of the effective neutrino mass matrix $M_ν$, or rank 1, depending only on the textures of $M_R^{-1}$. We also consider the three cases of the breaking of the SSA by introducing a complex breaking parameter in $M_ν$ and show that it can generate the CP violation in the lepton sector as well as non-zero $m_3$ and $U_{e3}$. We furthermore discuss the implications of the thermal leptogenesis for the both case which satisfies and breaks the SSA in the basis where $M_R$ is diagonal.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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