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arXiv 0910.0153hep-ph
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轻中微子的质量谱和数:规范解释的尝试

Mass Spectrum and Number of Light Neutrinos: An Attempt of the Gauge Explanation

I. T. Dyatlov

摘要:

辛味对称群Sp(n/2)(n是偶数)的n马约拉纳状态不允许不变的马约拉纳质量。这里只可能使用具有对角元素和非对角元素的特定质量矩阵。由于味道和手征对称性的自发破坏,质量矩阵仅在味道数n = 6时出现,并且仅与R,L对称性破坏一起出现(即,奇偶性违反)。跷跷板机制在这里产生三个轻和三个重狄拉克粒子(中微子)。观测到的轻中微子光谱的特殊性:两个状态远离第三个,可以用Sp(3)中出现的质量矩阵的某些简单性质来解释。状态的排序对应于正常的质量层次结构。当中微子质量差明显小于质量本身时,这种情况在这里似乎是不可能实现的。如果不了解带电轻子谱和Majorana态弱流的形成机制,就无法确定中微子的混合角。

英文摘要:

Symplectic flavour symmetry group Sp(n/2) (n is even) of n Majorana states does not allow for invariant Majorana masses. Only specific mass matrices with diagonal and nondiagonal elements are possible here. As a result of the spontaneous violation of flavour and chiral symmetries, a mass matrix could appear only for the number of flavours n = 6 and only together with R,L-symmetry violation (i.e., parity violation). The see-saw mechanism produces here three light and three heavy Dirac particles (neutrinos). The peculiarity of the observed light neutrino spectrum: two states located far from the third one, can be explained by certain simple properties of mass matrices appearing in Sp(3). The ordering of the states corresponds to normal mass hierarchy. Situation, when neutrino mass differences are significantly less than masses themselves, appears to be unrealizable here. Mixing angles for neutrinos can not be determined without understanding formation mechanisms for charged lepton spectrum and Majorana state weak currents.

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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