We study the reasonable requirements of two anomalous $U(1)$s in a flavored-axion framework for the anomaly cancellations of both $U(1)$-mixed gravity and $U{(1)}_Y\times {[U(1)]}^2$ which in turn determine the $U{(1)}_Y$ charges where $U{(1)}_Y$ is the hypercharge gauge symmetry of the standard model. We argue that, with a flavor symmetry group, axion-induced topology in symmetry-broken phases plays crucial roles in describing how quarks and leptons are organized at a fundamental level and make deep connections with each other. A unified model, as an example, is then proposed in a simple way to describe a whole spectrum of particles where both flavored-axion interactions with normal matter and the masses and mixings of fermions emerge from the spontaneous breaking of a given symmetry group. Once a scale of active neutrino mass defined at a seesaw scale is fixed by the commensurate $U(1)$ flavored-PQ charge of fermions, that of QCD axion decay constant $F_A$ is determined. In turn, fundamental physical parameters complementary to each other are predicted with the help of precision flavor experiments. Model predictions are extracted on the characteristics of neutrino and flavored-axion: $F_A={3.57}_{-1.53}^{+1.52}\times {10}^{10}$ GeV (consequently, QCD axion mass $m_a={1.52}_{-0.46}^{+1.14}\times {10}^{-4}$ eV, axion to photon coupling $|g_{a\gamma \gamma }|={2.15}_{-0.64}^{+1.61}\times {10}^{-14}{\text{GeV}}^{-1}$, axion to electron coupling $g_{Aee}={3.29}_{-0.98}^{+2.47}\times {10}^{-14}$, etc.); atmospheric mixing angle ${\theta }_{23}$, Dirac CP phase ${\delta }_{CP}$, and $0\nu \beta \beta$-decay rate for normal mass ordering and inverted one by taking quantum corrections into account.

我们研究了两个异常的合理要求 $ü（\mathrm{1个}）$在调味轴框架中用于两个异常的取消 $ü（\mathrm{1个}）$混合重力和 $ü{（\mathrm{1个}）}_{ÿ}\times {[ü（\mathrm{1个}）]}^2$ 反过来确定 $ü{（\mathrm{1个}）}_{ÿ}$ 在哪里收费 $ü{（\mathrm{1个}）}_{ÿ}$是标准模型的过充规的对称性。我们认为，对于一个具有风味对称性的小组，在对称性破碎相中轴突诱导的拓扑结构在描述夸克和轻子如何在基本水平上相互组织并建立深层联系方面起着至关重要的作用。然后，以简单的方式提出一个统一的模型，以描述颗粒的整个光谱，在该光谱中，自给定对称基团的自发断裂会引起与正常物质的风味-轴相互作用以及费米的质量和混合。一旦以跷跷板规模定义的活动中微子质量的规模被相应的固定$ü（\mathrm{1个}）$ 费米子的风味PQ电荷，QCD轴电荷的衰变常数 $F_{\mathrm{一种}}$决心，决意，决定。反过来，借助于精确的风味实验可以预测彼此互补的基本物理参数。根据中微子和风味轴的特征提取模型预测：$F_{\mathrm{一种}}={3.57}_{-1.53}^{+1.52}\times {10}^{10}$ GeV（因此，QCD轴突质量 ${米}_{\mathrm{一种}}={1.52}_{-0.46}^{+1.14}\times {10}^{-4}$ eV，轴对光子耦合 $|G_{\mathrm{一种}\gamma \gamma }|={2.15}_{-0.64}^{+1.61}\times {10}^{-14}{\text{GeV}}^{-\mathrm{1个}}$，轴对电子耦合 $G_{\mathrm{一种}ËË}={3.29}_{-0.98}^{+2.47}\times {10}^{-14}$等）；大气混合角${\theta }_{23}$，狄拉克CP阶段 ${\delta }_{CP}$和 $0\nu \beta \beta$正常质量有序的衰变率，并通过考虑量子校正来求逆。