We perform a comprehensive analysis of the secluded supersymmetric ${U(1)}^{\prime }$ model, consistent with present experimental constraints. We find that, in this model, the additional $Z^{\prime }$ gauge boson can be leptophobic without resorting to gauge kinetic mixing and consequently, also $d$-quark-phobic, thus lowering the LHC bounds on its mass. The model can accommodate very light singlinos as DM candidates, consistent with present day cosmological and collider constraints. Light charginos and neutralinos are responsible for muon anomalous magnetic predictions within $1\sigma$ of the measured experimental value. Finally, we look at the possibility that a lighter $Z^{\prime }$, expected to decay mainly into chargino pairs and followed by the decay into lepton pairs, could be observed at 27 TeV.

• Received 18 July 2020
• Accepted 16 November 2020

DOI:https://doi.org/10.1103/PhysRevD.102.115025

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Published by the American Physical Society