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We investigate the pair production of right-handed neutrinos mediated by a$Z^\prime$ from the meson decays at the FASER detector of the HL-LHC. The$Z^\prime$ can be either the additional gauge boson in the $U(1)_{B-L}$ orsterile $\nu$-specific $U(1)_s$ model. Taking the gauge coupling or the kineticmixing at the current limits, we analyses the sensitivity to the masses of theheavy neutrinos, $m_N$, and active-sterile mixing, $V_{lN}^2$, of the FASER-2.In a background free scenario, FASER-2 is able to probe $V_{lN}^2 \approx10^{-8}$ when $m_N \sim 0.2$ GeV, which is comparable to the current limitsfrom the beam dump experiments for the right-handed neutrinos dominantlycoupled to electron and muon flavours, and exceed three magnitude for tau. Whencomes to the $U(1)_s$ model, FASER-2 can probe $V_{lN}^2 \approx 10^{-10}$,which is better than the current limits in all three flavours. A proposedlong-lived particle detector, FACET, is also studied, while no significantdifference from FASER-2 is derived.

Z' Mediated right-handed Neutrinos from Meson Decays at the FASER