Large θ13 in a SUSY SU(5) × T′ model
Large θ13 in a SUSY SU(5) × T′ model
复制标题
SUSY SU(5) × T′ 模型中的大 θ13
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. M. Wijangco
中科院分区：
文献类型：
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作者：
Mu;Jinrui Huang;K. Mahanthappa;A. M. Wijangco
在基于SUSY SU(5)和T '族对称的模型中，[1,2]表明，在各种实验测量兼容的轻子和夸克扇区中，费米子质量层次和混合角都可以自然产生。但对$ {\theta_{13 }}\simeq {{{{\theta_c}}} \left/ {{3\sqrt{2}}} \right.} $的非零轻子混合角的预测值与大亚湾和RENO最近的实验结果相矛盾。我们建议在中微子扇区中再引入一个单重态黄素场，并利用它的额外贡献，我们能够产生大的混合角θ13 8°−10°。导出了在附加黄酮场作用下混合角和中微子质量的解析表达式。我们的数值结果表明，在正常层次情况下，模型参数空间允许一个大的区域，而在倒置层次情况下，模型参数空间允许一个小得多的区域。此外，太阳混合角的预测值不受附加单重态贡献的影响。另一方面，由于额外的单重态贡献，θ13值与θ23−π/4之间存在相关性。我们还对未来中微子实验中可能测试的各种其他变量进行了预测，例如狄拉克CP相位，预测在δ（195°- 200°）范围内，以及无中微子双β衰变矩阵元素< mββ >。给出了一个最小χ2拟合的数值算例，模型预测与所有实验结果一致。
A bstractIn the model based on SUSY SU(5) combined with the T′ family symmetry, it is shown [1, 2] that fermion mass hierarchy and mixing angles can be naturally generated in both lepton and quark sectors compatible with various experimental measurements. But the predicted value for the non-zero lepton mixing angle of $ {\theta_{13 }}\simeq {{{{\theta_c}}} \left/ {{3\sqrt{2}}} \right.} $ contradicts the recent experimental results from Daya Bay and RENO. We propose to introduce one more singlet flavon field in the neutrino sector, and with its additional contribution, we are able to generate the large mixing angle θ13 ~ 8° − 10°. The analytical expressions of the mixing angles and neutrino masses with the additional flavon field are derived. Our numerical results show that a large region in the model parameter space is allowed for the normal hierarchy case, while a much smaller region is allowed for the inverted hierarchy case. In addition, the predicted value of the solar mixing angle is not affected by the additional singlet contribution. On the other hand, there exists a correlation between θ13 value and θ23 − π/4, as a result of the additional singlet contribution. We also make predictions for various other variables that can be potentially tested in the future neutrino experiments such as the Dirac CP phase, which is predicted to be in the range of δ ~ (195° − 200°), and the neutrinoless double beta decay matrix element, 〈mββ〉. One numerical example with the minimal χ2 fit is presented, and the model predictions are consistent with all experimental results.