具有$$\mathbf {A_4}$$风味对称性的$$\mathbf {U(1)_L}$模型中大中微子的现实费米子质量和混杂度

IF 1.6 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Indian Journal of Physics Pub Date : 2024-09-02 DOI:10.1007/s12648-024-03375-1
V. V. Vien
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引用次数: 0

摘要

我们提出了一个基于\(A_4\)对称性的\(U(1)_L\)模型,旨在解释中微子质量的小以及夸克和轻子的混合模式。马约拉纳中微子质量的微小性是通过I型和-II型跷跷板机制的组合来重现的。该模型可以容纳目前观测到的轻子和夸克混合模式,其中太阳中微子混合角和狄拉克CP违反相对于正常层次和倒层次都在\(3\sigma \)范围内,马约拉纳违反相被预测为\(\eta _{1}in (0.00, 9.76)^\circ\) and\(\eta _{2} in (68.70, 9.76)^\circ\)\对于正常层次结构来说,是在(68.70, 270.00)^\circ \),而对于正常层次结构来说,是在(0.00, 10.83)^\circ \)和(78.60, 270.00)^\circ \)。\in (78.60, 90.00)^\circ \)。得到的中微子质量总和和有效马约拉纳中微子质量与最近的限值非常一致。对于夸克部门,所有的夸克质量都可以得到最佳拟合值,除了元素 \( (V_{{\{CKM}}}} )_{{21}} 之外,夸克混合矩阵的所有元素都与实验约束一致。\)有大约 \(0.25\,\%\)的偏差。
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Realistic fermion mass and mixing in $$\mathbf {U(1)_L}$$ model with $$\mathbf {A_4}$$ flavor symmetry for majorana neutrino

We propose a \(U(1)_L\) model based on \(A_4\) symmetry aiming to explain the smallness of neutrino masses as well as the quark and lepton mixing patterns. The smallness of Majorana neutrino mass is reproduced through the combination of type-I and -II seesaw mechanisms. The model can accommodate the current observed patterns of lepton and quark mixing in which the solar neutrino mixing angle and the Dirac CP violating phase are in \(3\sigma \) range for both normal hierarchy and inverted hierarchy, the Majorana violating phases are predicted to be \(\eta _{1} \in (0.00, 9.76)^\circ \) and \(\eta _{2} \in (68.70, 270.00)^\circ \) for normal hierarchy while \(\eta _1\in (0.00, 10.83)^\circ \) and \(\eta _{2} \in (78.60, 90.00)^\circ \) for inverted hierarchy. The obtained sum of neutrino mass and the effective Majorana neutrino mass are in good consistent with the recent limits. For quark sector, all the quark masses can get the best-fit values and all the elements of the quark mixing matrix are in agreement with the experimental constraints except the element \( (V_{{{\text{CKM}}}} )_{{21}} \) with a deviation about \(0.25\,\%\).

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来源期刊
Indian Journal of Physics
Indian Journal of Physics 物理-物理:综合
CiteScore
3.40
自引率
10.00%
发文量
275
审稿时长
3-8 weeks
期刊介绍: Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.
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