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Abstract

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 3.3$\sigma$ deviation from Standard Model value (4.2$\sigma$
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.