In this work, we suggest a renormalizable [Formula: see text] extension of the Standard Model with [Formula: see text] symmetry in which the observed fermion mass and mixing pattern is consistent with the experimental values given in Ref. 1 at the tree-level. The neutrino mass ordering and the tiny neutrino masses are induced by the type-I seesaw mechanism. The effective neutrino mass parameters are predicted to be [Formula: see text], [Formula: see text] for NO and [Formula: see text], [Formula: see text] for IO which are well consistent with the recent experimental data. The quark masses are in good agreement while the quark mixing matrix has a little difference with the experimental data taken from Ref. 1 and the Cabibbo angle [Formula: see text] is related to the model parameter [Formula: see text] by the formula [Formula: see text].

中文翻译：

---

基于 Σ(18) 对称性的标准模型的 B - L 扩展，用于费米子质量和混合

在这项工作中，我们建议标准模型的可重整化 [公式：见文本] 扩展具有 [公式：见文本] 对称性，其中观察到的费米子质量和混合模式与参考文献中给出的实验值一致。1 在树级别。中微子质量排序和微小中微子质量是由 I 型跷跷板机制诱导的。NO的有效中微子质量参数预测为[公式：见正文]，[公式：见正文]，IO为[公式：见正文]，[公式：见正文]，这与最近的实验数据很好地吻合。夸克质量非常吻合，而夸克混合矩阵与参考文献中的实验数据略有不同。1和Cabibbo角[公式：见文]通过公式[公式：见文]与模型参数[公式：见文]有关。