The muon anomalous magnetic moment measurement has, for more than a decade, been a long-standing anomaly hinting the physics beyond the Standard Model (BSM). The recently announced results from muon $g-2$ collaboration, corresponding to 3.3σ deviation from Standard Model value (4.2σ in combination with previous measurement) are strengthening the need for new physics coupled to muons. In this letter, we propose a novel scenario in which Standard Model (SM) is augmented by an axion-like particle (ALP) and vector-like fermions. We find that such a model admits an excellent interpretation of recent muon $g-2$ measurement through quantum process featuring ALP interacting with muons and newly introduced fermions. Previously proposed explanations with ALPs utilize interactions with photons and/or SM fermions. Therefore, in this letter we complement and extend such scenarios. We also discuss collider prospects for the model as well as the possibility that ALP is long lived or stable dark matter (DM) candidate.

十多年来，μ子异常磁矩测量一直是一个长期存在的异常现象，暗示着超出标准模型（BSM）的物理学。muon最近公布的结果$G-2$合作，对应于标准模型值的3.3 σ偏差（4.2 σ与先前的测量值相结合）正在加强对与 μ 子耦合的新物理学的需求。在这封信中，我们提出了一种新方案，其中标准模型 (SM) 被轴子状粒子 (ALP) 和矢量状费米子增强。我们发现这样的模型可以很好地解释最近的介子$G-2$通过量子过程进行测量，特征在于 ALP 与 μ 子和新引入的费米子相互作用。先前提出的 ALP 解释利用了与光子和/或 SM 费米子的相互作用。因此，在这封信中，我们补充和扩展了这些场景。我们还讨论了该模型的对撞机前景以及 ALP 是长寿命或稳定暗物质 (DM) 候选者的可能性。