  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 $\nu_4$ lifetime $\tau_4/m_4 \lesssim 10^{-16} {\rm
eV^{-1}s}$, the interpretation of the high-energy IceCube analysis can be
significantly changed.
