论文标题

三伴式混合的现象学与一个纹理平等

Phenomenology of Trimaximal mixing with one texture equality

论文作者

Dev, S., Raj, Desh

论文摘要

我们研究具有一个纹理平等的中微子质量矩阵和具有第一个(TM $ _1 $)或第二(TM $ _2 $)列的中微子混合矩阵,与Trimaximal混合矩阵相同。我们发现,在15个可能的中微子质量矩阵中,只有七个纹理与$ tm_1 $混合兼容,六种纹理与$ tm_2 $兼容,根据当前的中微子振荡数据。这些纹理对目前未知的参数(例如中微子质量尺度,有效的主要中微子质量,大气混合以及违反dirac-和majorana型CP违反阶段)具有有趣的含义。我们还为其中一些纹理提供了$ s_ {3} $组动机。

We study neutrino mass matrices with one texture equality and the neutrino mixing matrix having either its first (TM$_1$) or second (TM$_2$) column identical to that of the tribimaximal mixing matrix. We found that out of total fifteen possible neutrino mass matrices with one texture equality, only seven textures are compatible with $TM_1$ mixing and six textures are compatible with $TM_2$ mixing in the light of the current neutrino oscillation data. These textures have interesting implications for the presently unknown parameters such as the neutrino mass scale, effective Majorana neutrino mass, the atmospheric mixing and the Dirac- and Majorana-type CP violating phases. We, also, present the $S_{3}$ group motivation for some of these textures.

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