Leptonic Unitarity Triangles and Effective Mass Triangles of the Majorana Neutrinos
Leptonic Unitarity Triangles and Effective Mass Triangles of the Majorana Neutrinos
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DOI：
10.1016/j.nuclphysb.2016.03.031
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发表时间：
2015-11
期刊：
影响因子：
--
通讯作者：
Z. Xing;Jing-yu Zhu
中科院分区：
文献类型：
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作者：
Z. Xing;Jing-yu Zhu
给出了6个中微子振荡参数的最佳拟合结果，绘制了3× 3轻子味混合矩阵的Dirac和Majorana么正三角形，以显示它们在复平面上的真实的形状.探讨了这三个Majorana UTs与中微子-反中微子振荡和中微子衰变的关系，并讨论了右UTs和等腰UTs的可能性。在当前数据所允许的中微子质量m1 → 0或m3 → 0的极限下，我们给出了由有效Majorana中微子质量< m>α β（α，β= e，μ，τ）及其相应分量矢量在复平面上所构成的六个三角形的形状.文中还说明了这种三角形与Majorana位相和II型跷跷板机制中轻子数破坏衰变H++→ α+ β+的关系。
Given the best-fit results of six neutrino oscillation parameters, we plot the Dirac and Majorana unitarity triangles (UTs) of the 3× 3 lepton flavor mixing matrix to show their real shapes in the complex plane. The connections of the three Majorana UTs with neutrino–antineutrino oscillations and neutrino decays are explored, and the possibilities of right or isosceles UTs are discussed. In the neutrino mass limit of m 1→ 0 or m 3→ 0, which is definitely allowed by current data, we show how the six triangles formed by the effective Majorana neutrino masses< m> α β (for α, β= e, μ, τ) and their corresponding component vectors look like in the complex plane. The relations of such triangles to the Majorana phases and to the lepton-number-violating decays H++→ α+ β+ in the type-II seesaw mechanism are also illustrated.