paper

Ambiguity in source flux of high-energy cosmic/astrophysical neutrinos: Effects of bi-maximal mixing and quantum-gravity induced decoherence

arXiv:hep-ph/0104316 · doi:10.1142/S0217732301003760

Abstract

For high energy cosmic neutrinos Athar, Jezabek, and Yasuda (AJY) have recently shown that the existing data on neutrino oscillations suggests that cosmic neutrino flux at the AGN/GRB source, F(nu_e):F(nu_mu):F(nu_tau) approx 1:2:0, oscillates to F(nu_e):F(nu_mu):F(nu_tau) approx 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 bi-maximal mixing, and show that observation of F(nu_e):F(nu_mu):F(nu_tau) approx 1:1:1 does not necessarily establish cosmic neutrino flux at the AGN/GRB source to be F(nu_e):F(nu_mu):F(nu_tau) approx 1:2:0. We also note that if the length scale for the quantum-gravity induced de-coherence for astrophysical neutrinos is of the order of a Mpc, then independent of the MNS matrix, the Liu-Hu-Ge (LHG) mechanism would lead to flux equalization for the cosmic/astrophysical neutrinos.

Published version. A "Note Added" on (a) The reported ambiguity in the context of a two-doublet structure of the 4-neutrino mixing [L. Bento, P. Keränen, J. Maalampi, Phys. Lett. B 476, 205-212 (2000)], and (b) An earlier work - predating the work of Athar et al. - of J. G. Learned and S. Pakvasa [Astropart. Phys. 3, 267-274 (1995)]

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