Exploring a Nonminimal Sterile Neutrino Model Involving Decay at IceCube

We study the phenomenology of neutrino decay together with neutrino oscillations in the context of eV-scale sterile neutrinos. We review the formalism of visible neutrino decay in which one of the decay products is a neutrino that potentially can be observed. We apply the formalism developed for decay to the recent sterile neutrino search performed by IceCube with TeV neutrinos. We show that for a ν4 lifetime τ4/m4≲10−16  eV−1 s, the interpretation of the high-energy IceCube analysis can be significantly changed.