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arXiv 1104.4340hep-ph
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从纹理零点和准简并中微子质量看大气中微子的最大混合

Maximal atmospheric neutrino mixing from texture zeros and quasi-degenerate neutrino masses

W. Grimus, P. O. Ludl

摘要:

众所周知,在荷轻子质量矩阵为对角矩阵的情况下,Majorana中微子质量矩阵中存在7种两个纹理零点的情况,它们与所有的实验数据都是一致的。我们表明,其中两种情况下,即B3和B4的分类Frampton,Alfrehow和Marfatia,是特殊的意义上说,他们自动导致接近最大的大气中微子混合的准简并中微子质谱的限制。无论太阳和反应堆混合角的值如何,这一性质都是成立的,因为对于这两种情况,在准简并谱的极限下,轻子混合矩阵的第二行和第三行在符号上近似复共轭。此外,在相同的限制,上述情况下也开发了一个最大的CP违反CKM型相,提供的反应器混合角不是太小。

英文摘要:

It is well-known that, in the basis where the charged-lepton mass matrix is diagonal, there are seven cases of two texture zeros in Majorana neutrino mass matrices that are compatible with all experimental data. We show that two of these cases, namely B3 and B4 in the classification of Frampton, Glashow and Marfatia, are special in the sense that they automatically lead to near-maximal atmospheric neutrino mixing in the limit of a quasi-degenerate neutrino mass spectrum. This property holds true irrespective of the values of the solar and reactor mixing angles because, for these two cases, in the limit of a quasi-degenerate spectrum, the second and third row of the lepton mixing matrix are, up to signs, approximately complex-conjugate to each other. Moreover, in the same limit the aforementioned cases also develop a maximal CP-violating CKM-type phase, provided the reactor mixing angle is not too small.

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