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

TL;DR

This paper explores whether a leptophilic axion-like particle (ALP) can explain the muon g-2 anomaly within a specific mass range, considering all relevant quantum loop effects and experimental constraints.

Contribution

It demonstrates that a narrow ALP mass window around 5-6 GeV can resolve the muon g-2 discrepancy while remaining consistent with existing experimental bounds.

Findings

ALP can explain muon g-2 anomaly in 5-6 GeV mass range

All relevant one- and two-loop diagrams considered

Constraints from other experiments are satisfied in this window

Abstract

In the light of recent measurement of muon $(g-2)$, 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 $(g-2)_\mu$ once we consider all possible one and two-loop diagrams. In particular, ALP can either explain the muon $(g-2)$ anomaly for $5\,{\rm GeV} \lesssim m_a \lesssim 6 \,{\rm GeV}$ while satisfying the other experimental constraints, or be restricted by it.