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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1304.4465hep-ph
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轻子部分质量简并模型与自发CP破坏

Partial Mass Degenerated Model and Spontaneous CP Violation in the Leptonic Sector

Hiroyuki Ishida

摘要:

我们研究了一个由太阳中微子振荡实验中测得的小平方质量差和无中微子双β衰变实验中的可观测性所启发的味模型[1]。在我们的模型中,$1^{\rm st.}$和$2^{\rm nd.}$两代费米子在首阶有一个共同的质量。从理解混合模式和质谱的观点来看,这种限制可能是一个很好的起点。在这个极限下,质量矩阵在前两代的味空间上是$O (2)$对称的。为了简单起见,我们提出了一个基于$D_N$群的轻子扇区模型,$D_N$群是$O (2)$的离散子群。我们表明,我们的模型可以重现实验数据,除了$5 \mathchar`- 10%$调谐部分大中微子混合没有分级耦合。此外,我们通过额外的标量场的复真空期望值,通过CP破坏,显示了微小的电子质量和相对较大的$θ_{13}^{\rm PMNS}$之间的一种新的关系。

英文摘要:

We have investigated a flavour model [1] which inspired by small squared-mass difference measured in solar neutrino oscillation experiments and observability in neutrinoless double beta decay experiments. In our model, the $1^{\rm st.}$ and $2^{\rm nd.}$ generations of fermions have a common mass at the leading order. Such limit may be a good starting point from the points of view of understanding the mixing patterns and mass spectra. In this limit, the mass matrices are respected an $O (2)$ symmetry on flavor space of the first two generations. For simplicity, we propose a model for lepton sector based on the $D_N$ group which is a discrete subgroup of $O (2)$. We show that our model can reproduce the experimental data without hierarchical couplings except for $5 \mathchar`- 10%$ tuning partially for the large neutrino mixing. Further, we show a novel relation between the tiny electron mass and the relatively large $θ_{13}^{\rm PMNS}$ via CP violation by the complex vacuum expectation values of the extra scalar fields.

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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