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We consider a four flavour scenario for the neutrinos where an extra sterileneutrino is introduced with the three families of active neutrinos and studythe deviation from three flavour scenario in the ultra high energy (UHE)regime. We calculate the possible muon and shower yields at a 1 Km$^2$ detectorsuch as ICECUBE for these neutrinos from distant UHE sources namely Gamma RayBursts (GRBs) etc. Similar estimations for muon and shower yields are alsoobtained for three flavour case. Comparing the two results we find considerabledifferences of the yields for these two cases. This can be useful for probingthe existence of a fourth sterile component using UHE neutrino flux.

Probing a Four Flavour vis-a-vis Three Flavour Neutrino Mixing for UHE Neutrino Signals at a 1 ${\rm Km}^2$ Detector