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We report searches for a new muonic dark force mediated by a gauge boson($Z'$) coupling only to the second and third lepton families. The existence ofthe $Z'$ boson is probed in $e^+e^- \to \mu^+\mu^- Z'$, $Z' \to \mu^+ \mu^-$events, with an analysis based on the full data sample collected with the BABARdetector at the PEP-II $e^+e^-$ collider. No significant signal is observed.Limits on dark-sector coupling constants are derived; these improve uponcurrent bounds, and further constrain the allowed parameter space.

Search for Low-mass Dark-Sector Gauge Boson with the BABAR Detector