We study an extended 2 Higgs doublet model (2HDM) in which the Standard Model (SM) Yukawa interactions are forbidden due to a global $U(1{)}^{\prime }$ symmetry, but may arise via mixing with vectorlike families. In this model, the hierarchical structure of Yukawa couplings of quarks and leptons in the SM arises from the heavy masses of the fourth and fifth vectorlike families. Within this model, we consider various nonstandard contributions to the electron and muon anomalous magnetic moments. We first consider the $W$ exchange at one-loop level, consistent with the $\mu \to e\gamma$ constraint, and show that it yields a negligible contribution to both electron and muon anomalous magnetic moments. We then consider Higgs scalar exchange, together with vectorlike leptons, at one-loop level and show that it is possible to have nonstandard contributions to the electron and muon anomalous magnetic moments within the $1\sigma$ constraint of certain experiments. We present some benchmark points for both the muon and the electron anomalies, together with some numerical scans around these points, which indicate the mass regions of the Higgs scalars of the 2HDM in this scenario.

中文翻译：

---

来自具有扩展 2HDM 的矢量类家族的费米子质量层次结构以及对电子和 μ 子异常磁矩的可能解释

我们研究了一个扩展的 2 Higgs 双峰模型 (2HDM)，其中标准模型 (SM) Yukawa 相互作用由于全局 $你(1{)}^{\prime }$对称性，但可能通过与类向量族混合而产生。在这个模型中，SM 中夸克和轻子的汤川耦合的层次结构来自第四和第五向量族的重质量。在这个模型中，我们考虑了对电子和 μ 子异常磁矩的各种非标准贡献。我们首先考虑$宽$ 交换在一个循环级别，与 $\mu \to \mathrm{电子}\gamma$约束，并表明它对电子和μ子异常磁矩的贡献可以忽略不计。然后，我们在单环水平上考虑希格斯标量交换以及类似矢量的轻子，并表明可能对电子和 μ 子异常磁矩内的非标准贡献$1\sigma$某些实验的约束。我们提供了一些 μ 子和电子异常的基准点，以及这些点周围的一些数值扫描，它们表明了这种情况下 2HDM 希格斯标量的质量区域。