Search for a muonphilic scalar ${X}_{0}$ or vector ${X}_{1}$ via $J/\psi \to {\mu }^{+}{\mu }^{-}+\text{invisible}$ decays at BESIII

A light scalar ${X}_{0}$ or vector ${X}_{1}$ particles have been introduced as a possible explanation for the $\left(g-2{\right)}_{\mu }$ anomaly and dark matter phenomena. Using $\left(8.998±0.039\right)×{10}^{9}\text{}\text{}J/\psi $ events collected by the BESIII detector, we search for a light muon philic scalar ${X}_{0}$ or vector ${X}_{1}$ in the processes $J/\psi \to {\mu }^{+}{\mu }^{-}{X}_{0,1}$ with ${X}_{0,1}$ invisible decays. No obvious signal is found, and the upper limits on the coupling ${g}_{0,1}^{\prime }$ between the muon and the ${X}_{0,1}$ particles are set to be between $1.1×{10}^{-3}$ and $1.0×{10}^{-2}$ for the ${X}_{0,1}$ mass in the range of $1