We propose a renormalizable gauge [Formula: see text] extension of the Standard Model (SM) based on [Formula: see text] symmetry and an auxiliary [Formula: see text] symmetry which can explain the observed quark and lepton masses and mixing angles associated to normal neutrino mass ordering through type-I seesaw mechanism. The relation between the atmospheric mixing angle [Formula: see text] and the effective parameters in neutrino sector is analyzed. Two Majorana phases are predicted to be [Formula: see text] and [Formula: see text] and the model also predicts the effective neutrino mass parameters of [Formula: see text], [Formula: see text] which is well consistent with the planning of future experiments. In the quark sector, the model is predictive since it has ten effective parameters that allow to successfully reproduce the experimental values of the experimental values of the ten physical observables of the quark sector.

中文翻译：

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基于 Q4 对称性的具有正常中微子质量排序的费米子谱的 B-L 模型

我们提出了基于[公式：见文本]对称性和辅助[公式：见文本]对称性的标准模型（SM）的可重整规范[公式：见文本]扩展，可以解释观察到的夸克和轻子质量和混合角通过 I 型跷跷板机制与正常的中微子质量排序相关联。分析了大气混合角[公式：见正文]与中微子扇区有效参数的关系。两个马约拉纳相被预测为[公式：见文]和[公式：见文]，模型还预测了[公式：见文]、[公式：见文]的有效中微子质量参数，这与计划未来的实验。在夸克领域，