A 4 and CP symmetry and a model with maximal CP violation
A 4 and CP symmetry and a model with maximal CP violation
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DOI：
10.1016/j.nuclphysb.2016.09.005
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
Cai-Chang Li;Jun-Nan Lu;Gui-Jun Ding
中科院分区：
文献类型：
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作者：
Cai-Chang Li;Jun-Nan Lu;Gui-Jun Ding
我们研究了与4a香精基团相容的第二种CP对称，它交换了表示1 '和1″。我们分别分析了在带电轻子和中微子扇区中，a4和CP对称破缺为z3和z2xcp残馀亚群所产生的轻子混合模式。发现了一种现象学上可行的混合模式，并预测了最大大气混合角、最大狄拉克CP相、平凡马约拉纳相和相关系数sin 2 θ 12 cos 2 θ 13= 1/3。我们基于a4和CP对称构造了一个具体的模型，实现了上述有趣的混合模式，重现了观测到的带电轻子质量层次，并且反应堆混合角θ 13的顺序正确。
We study a second CP symmetry compatible with the A 4 flavor group, which interchanges the representations 1′ and 1 ″. We analyze the lepton mixing patterns arising from the A 4 and CP symmetry broken to residual subgroups Z 3 and Z 2× C P in the charged lepton and neutrino sectors respectively. One phenomenologically viable mixing pattern is found, and it predicts maximal atmospheric mixing angle as well as maximal Dirac CP phase, trivial Majorana phases and the correlation sin 2 θ 12 cos 2 θ 13= 1/3. We construct a concrete model based on the A 4 and CP symmetry, the above interesting mixing pattern is achieved, the observed charged lepton mass hierarchy is reproduced, and the reactor mixing angle θ 13 is of the correct order.