Search for invisible decays of $\omega$ and $\varphi$ with $J\mathrm{/}\psi$ data at BESIII

Using a data sample of $(1310.6\pm 7.0)\times {10}^6$ $J\mathrm{/}\psi$ events collected with the BESIII detector operating at the BEPCII collider, we perform the first experimental search for invisible decays of a light vector meson ($V=\omega ,\varphi$) via $J\mathrm{/}\psi \to V\eta$ decays. The decay of $\eta \to \pi^+\pi^-\pi^0$isutilizedtotagthe$V$ meson decaying into the invisible final state. No evidence for a significant invisible signal is observed, and the upper limits on the ratio of branching fractions at the 90% confidence level are determined to be $\frac{$\mathcal{B}$(\omega \rightarrow \rm{invisible})}{$\mathcal{B}$(\omega \to \pi^+\pi^-\pi^0)} < 8.1 \times 10^{-5}$and$\frac{$\mathcal{B}$(\phi \to \rm{invisible})}{$\mathcal{B}$(\phi \to K^+K^-)} < 3.4\times 10^{-4}$\mathrm{.}Byusingtheworldaveragevaluesof$$\mathcal{B}$(\omega \to \pi^+\pi^-\pi^0)$and$$\mathcal{B}$(\phi\to K^+K^-)$, the upper limits on the decay branching fractions at the $90\mathrm{\%}$ confidence level are set as $\mathcal{B}(\omega \to \mathrm{i}\mathrm{n}\mathrm{v}\mathrm{i}\mathrm{s}\mathrm{i}\mathrm{b}\mathrm{l}\mathrm{e})<7.3\times {10}^{-5}$ and $\mathcal{B}(\varphi \to \mathrm{i}\mathrm{n}\mathrm{v}\mathrm{i}\mathrm{s}\mathrm{i}\mathrm{b}\mathrm{l}\mathrm{e})<1.7\times {10}^{-4}$, respectively.