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arXiv 0907.2737hep-ph
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三个中微子的跷跷板选择

Seesaw Options for Three Neutrinos

Xiao-Gang He, Ernest Ma

摘要:

讨论了三个中微子的跷跷板机制,阐明了跷跷板结构导致三个质量近似为零的本征值的情况。真正的潜在机制被证明只是$inverse$(或$linear$)的跷跷板,这解释了为什么会有大的混合。然而,这些零点不可能自然出现,除非有一个守恒的对称性,即轻子数$L$,无论是全局的还是规范的,在TeV尺度下是软破缺或自发破缺的。特别讨论了三重单重中微子具有$L=3,-2,-1$的情况。

英文摘要:

The seesaw mechanism for three neutrinos is discussed, clarifying the situation where the seesaw texture results in three approximately zero mass eigenvalues. The true underlying mechanism is shown to be just the $inverse$ (or $linear$) seesaw, which explains why there could be large mixing. However, these zeroes cannot occur naturally, unless there is a conserved symmetry, i.e. lepton number $L$, either global or gauged, which is softly or spontaneously broken at the TeV scale. We discuss in particular the case where the three heavy singlet neutrinos have $L=3,-2,-1$.

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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