The $B-L$ supersymmetric Standard Model (BLSSM) is an ideal testing ground of the spin nature of dark matter (DM) as it offers amongst its candidates both a spin-$1/2$ (the lightest neutralino) and spin-0 (the lightest right-handed sneutrino) state. We show that the mono-$Z$ channel can be used at the Large Hadron Collider (LHC) to diagnose whether a DM signal is characterized within the BLSSM by a fermionic or (pseudo)scalar DM particle. Sensitivity to either hypothesis can be obtained after only $100{\mathrm{fb}}^{-1}$ of luminosity following runs 2 and 3 of the LHC.

• Received 6 August 2019

DOI:https://doi.org/10.1103/PhysRevD.100.095006

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Published by the American Physical Society