Dirac CP phase in the neutrino mixing matrix and the Froggatt-Nielsen mechanism with det [Mnu]=0

Dirac CP phase in the neutrino mixing matrix and the Froggatt-Nielsen mechanism with det [Mnu]=0
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中微子混合矩阵中的狄拉克 CP 相和 det [Mnu]=0 的 Froggatt-Nielsen 机制

DOI:
10.1016/j.physletb.2017.05.025
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发表时间:
2017
期刊:
影响因子:
4.4
通讯作者:
Morimitsu Tanimoto,. Tutomu Yanagida
Morimitsu Tanimoto,. Tutomu Yanagida
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Yuya Kaneta; Morimitsu Tanimoto,. Tutomu Yanagida

文献摘要

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本文讨论了Froggatt-Nielsen模型中的Dirac CP破坏相δ CP,其中中微子质量矩阵M ν满足条件det [M ν]= 0.这个附加条件大大限制了CP破坏相δ CP。我们发现,δ CP相的预测值在±(0.4-2.9)弧度范围内,这与最近的T2 K和NOνA数据一致。δ CP与sin 2 θ 23有显著的相关性。当sin 2 <$θ 23大于0.5时,相位δ CP收敛于<$0 ±π/2。因此,sin 2 <$θ 23的精确测量对于我们模型的检验是很重要的.预测了无中微子双β衰变的有效质量m e e在3.3-4.0 meV范围内。
We discuss the Dirac CP violating phase δ C P in the Froggatt–Nielsen model for a neutrino mass matrix M ν imposing a condition det [M ν]= 0. This additional condition restricts the CP violating phase δ C P drastically. We find that the phase δ C P is predicted in the region of±(0.4–2.9) radian, which is consistent with the recent T2K and NOνA data. There is a remarkable correlation between δ C P and sin 2⁡ θ 23. The phase δ C P converges to∼±π/2 if sin 2⁡ θ 23 is larger than 0.5. Thus, the accurate measurement of sin 2⁡ θ 23 is important for a test of our model. The effective mass m e e for the neutrinoless double beta decay is predicted in the rage 3.3–4.0 meV.