  The MiniBooNe collaboration has recently reported evidence for a light
sterile neutrino with large mixing angles thus corroborating the measurement by
LSND twenty years ago. Such a state would be directly in conflict with Planck
measurement of BBN $N_{eff}$ unless there is self-interaction in the sterile
sector. Our objective is to investigate if such interactions could result in
resonant absorption in the cosmogenic neutrino spectrum and its consequences
for the IceCube experiment. We show that it is possible to give independent
bounds on sterile neutrino parameter space from IceCube observations with the
dips in the spectrum corresponding to the neutrino masses.
