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Meson decays offer a good opportunity to probe new physics. The rare kaondecay $K^+ \rightarrow \pi^+ \nu\bar{\nu}$ is one of the cleanest of them and,for this reason, is rather sensitive to new physics, in particular, vectormediators. NA62 collaboration, running a fixed-target experiment at CERN,recently reported an unprecedented sensitivity to this decay, namely abranching fraction of $BR(K^+ \rightarrow \pi^+ \nu\bar{\nu}) =(11^{+4.0}_{-3.5})\times 10^{-11}$ at 68\% C.L. Vector mediators that couple toneutrinos may yield a sizeable contribution to this decay. Motivated by the newmeasurement, we interpret this result in the context of a concrete $Z^\prime$model, and put our findings into perspective with the correlated $K_L\rightarrow \pi^0 \nu \bar{\nu}$ decay measured by KOTO collaboration, current,and future colliders, namely the High-Luminosity and High-Energy LHC.

Rare Kaon Decay to Missing Energy: Implications of the NA62 Result for a $Z^\prime$ Model