Can leptophilic-ALP be a solution to the muon (g−2) anomaly?

In the light of recent measurement of muon [Formula: see text], we investigate the phenomenological implications of an axion-like particle (ALP) which only couples to the standard model charged leptons. We find that in a narrow mass range of ALP, it can alleviate the tension between the theoretical prediction and experimental observation of [Formula: see text] once we consider all possible one and two-loop diagrams. In particular, ALP can either explain the muon [Formula: see text] anomaly for [Formula: see text] while satisfying the other experimental constraints, or be restricted by it.