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We report a search for a dark vector gauge boson $U^\prime$ that couples toquarks in the decay chain $D^{*+} \to D^0 \pi^+, D^0 \to K^0_S \eta, \eta \toU^\prime \gamma$, $U^\prime \to \pi^+ \pi^-$. No signal is found and we set amass-dependent limit on the baryonic fine structure constant of $10^{-3} -10^{-2}$ in the $U^\prime$ mass range of 290 to 520 MeV/$c^2$. This analysis isbased on a data sample of 976 fb$^{-1}$ collected by the Belle experiment atthe KEKB asymmetric-energy $e^+e^-$ collider.

Search for a dark vector gauge boson decaying to $\pi^+ \pi^-$ using $\eta \rightarrow \pi^+\pi^- \gamma$ decays