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We investigate the dark matter (DM) phenomenology of axion-like particles(ALP) along with the ALP interpretation of muon $(g-2)$ in a minimal extensionof the Standard Model (SM). Here we have considered flavor dependent ALPcouplings with SM leptons to study the allowed region of parameter space fromthe muon $(g-2)$ measurement, taking into account all possible one and two loopdiagrams. We have found that in a certain region of parameter space ALP can actas a DM, satisfying the constraint from muon $(g-2)$ and other experimentalbounds. From our relic density calculation, we can infer that the ALP can actas a DM candidate in the mass range between ${55\rm MeV}$ to $100 {\rm MeV}$while satisfying muon $(g-2)$ observation and other experimental constraints.

Axion-Like Particle Interpretation of Dark Matter and Muon $(g-2)$