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The diffuse supernova neutrino background (DSNB) is the constant flux ofneutrinos and antineutrinos emitted by all past core collapses in theobservable Universe. We study the potential to extract information on theneutrino lifetime from the upcoming observation of the DSNB flux. The DSNB fluxhas a unique sensitivity to neutrino nonradiative decay for $\tau / m \in\left[ 10^9, 10^{11}\right]$~s/eV. To this end, we integrate, for the firsttime, astrophysical uncertainties, the contribution from failed supernovae, anda three-neutrino description of neutrino nonradiative decay. We present ourpredictions for future detection at the running Super-Kamiokande + Gd and theupcoming Hyper-Kamiokande, JUNO, and DUNE experiments. Finally, our resultsshow the importance of identifying the neutrino mass ordering to restrict thepossible decay scenarios for the impact of nonradiative neutrino decay on theDSNB.

Neutrino nonradiative decay and the diffuse supernova neutrino background