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Dark matter particles could be superheavy, provided their lifetime is muchlonger than the age of the universe. Using the sensitivity of the Pierre AugerObservatory to ultra-high energy neutrinos and photons, we constrain a specificextension of the Standard Model of particle physics that meets the lifetimerequirement for a superheavy particle by coupling it to a sector of ultra-lightsterile neutrinos. Our results show that, for a typical dark coupling constantof 0.1, the mixing angle $\theta_m$ between active and sterile neutrinos mustsatisfy, roughly, $\theta_m \lesssim 2.5\times10^{-6}(M_X/10^9~\mathrm{GeV})^{-2}$ for a mass $M_X$ of the dark-matterparticle between $2.3\times 10^8$ and $10^{11}~$GeV.

Constraints on metastable superheavy dark matter coupled to sterile neutrinos with the Pierre Auger Observatory