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The disagreement between the standard model prediction and the experimentalmeasurement of muon anomalous magnetic moment can be alleviated by invoking anadditional particle which is either a vector boson ($X_1$) or a scalar ($X_0$).This new particle, with the mass $m_X \lesssim 2 m_\mu$, can be searched for inthe decay $J/\psi \to \mu^- \mu^+ X$, where $X$ is missing. Our numerical studyshows that the search is quite feasible at the BESIII experiment in theparameter space allowed by muon $g-2$ measurements.

Probing new physics scenarios of muon $g-2$ via $J/\psi$ decay at BESIII