A ug 2 00 5 Robust flavor equalization of cosmic neutrino flux by quasi bi - maximal mixing ⋆

For high energy cosmic neutrinos Athar, Jeźabek, and Yasuda (AJY) have recently shown that the existing data on neutrino oscillations suggests that cosmic neutrino flux at the AGN/GRB source, F (νe) : F (νμ) : F (ντ ) ≈ 1 : 2 : 0, oscillates to F (νe) : F (νμ) : F (ντ ) ≈ 1 : 1 : 1. These results can be confirmed at AMANDA, Baikal, ANTARES and NESTOR, and other neutrino detectors with a good flavor resolution. Here, we re-derive the AJY result from quasi bimaximal mixing, and show that observation of F (νe) : F (νμ) : F (ντ ) ≈ 1 : 1 : 1 does not necessarily establish cosmic neutrino flux at the AGN/GRB source to be F (νe) : F (νμ) : F (ντ ) ≈ 1 : 2 : 0. ⋆ Work supported by Consejo Nacional de Ciencia y Tecnoloǵia (CONACyT) under Project # 32067-E. Preprint submitted to Elsevier Science 23 June, 2000 This preprint is no longer being pursued for publication. Its essential contents are now published as part of D. V. Ahluwalia, Ambiguity in source flux of cosmic/astrophysical neutrinos: Effects of bi-maximal mixing and quantumgravity induced decoherence, Mod. Phys. Lett. A 16 (2001) 917