Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
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DOI：
10.1103/physrevd.68.033007
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发表时间：
2003-05
影响因子：
5
通讯作者：
C. Low;R. Volkas
中科院分区：
文献类型：
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作者：
C. Low;R. Volkas
中微子振荡实验（不包括LSND实验）提出了轻子混合矩阵的三双峰形式。这种形式表明混合矩阵可能与轻子质量无关，并暗示了潜在的离散族对称性的作用。利用这些线索，我们推测夸克和轻子混合矩阵的对比形式可能都是由这种离散族对称性产生的。这个想法是，组成物理混合矩阵的对角化矩阵具有大的混合角，当计算CKM矩阵时，由于对称性而抵消，但在MNS情况下不会这样做。然而，当Higgs玻色子在对称性下是单线态，且族对称性与SU（2）L交换时，我们证明了一个不可行的定理：没有离散的完整族对称性能产生所需的混合模式。然后，我们提出了未来研究的途径。
Neutrino oscillation experiments (excluding the LSND experiment) suggest a tri-bimaximal form for the lepton mixing matrix. This form indicates that the mixing matrix is probably independent of the lepton masses, and suggests the action of an underlying discrete family symmetry. Using these hints, we conjecture that the contrasting forms of the quark and lepton mixing matrices may both be generated by such a discrete family symmetry. This idea is that the diagonalisation matrices out of which the physical mixing matrices are composed have large mixing angles, which cancel out due to a symmetry when the CKM matrix is computed, but do not do so in the MNS case. However, in the cases where the Higgs bosons are singlets under the symmetry, and the family symmetry commutes with SU(2)L, we prove a no-go theorem: no discrete unbroken family symmetry can produce the required mixing patterns. We then suggest avenues for future research.