The extension of the Standard model by three right-handed neutrino fields exhibit appealing symmetry between left-handed and right-handed sectors, which is only violated by interactions. It can accommodate three flavor quasi-Dirac neutrino mixing scheme, which allows processes with violation of both lepton flavor and total lepton number symmetries. We propose a 6×6 unitary matrix for parameterizing the mixing among three flavors of quasi-Dirac neutrino. This mixing matrix is constructed by two 3×3 unitary matrices that diagonalizes the Dirac mass term in the Lagrangian. By only assuming the Standard Model V−A weak interaction, it is found that probabilities of neutrino oscillations among active flavor states and effective masses measured by single beta decay, by neutrinoless double-beta decay and by cosmology only depend on single 3×3 unitary matrix relevant to mixing of active neutrino flavors. Further, by considering 1σ and 3σ uncertainties in the measured oscillation probability of electron antineutrino from reactor, derivation of the constraint on the Majorana neutrino mass component is demonstrated. The consequence for effective Majorana neutrino mass governing the neutrinoless double-beta decay is discussed.

中文翻译：

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三味准狄拉克中微子混合、振荡和无中微子双β衰变

标准模型通过三个右手中微子场的扩展在左手和右手扇区之间表现出吸引人的对称性，这只会被相互作用所破坏。它可以容纳三种风味的准狄拉克中微子混合方案，允许同时违反轻子风味和总轻子数对称性的过程。我们提出了一个 6×6 酉矩阵，用于参数化三种准狄拉克中微子之间的混合。该混合矩阵由两个 3×3 酉矩阵构成，它们将拉格朗日中的狄拉克质量项对角化。通过仅假设标准模型 V-A 弱相互作用，发现活性风味状态和有效质量之间的中微子振荡概率，通过单β衰变测量，通过无中微子双β衰变和宇宙学仅依赖于与活性中微子风味混合相关的单个 3×3 酉矩阵。此外，通过考虑来自反应堆的电子反中微子的测量振荡概率的 1σ 和 3σ 不确定性，证明了对 Majorana 中微子质量分量的约束的推导。讨论了控制中微子双β衰变的有效马约拉纳中微子质量的后果。