Abstract

Observations suggest that γ\gamma-ray bursts (GRBs) are produced by the dissipation of the kinetic energy of a relativistic fireball. We show that a large fraction, 10\ge 10%, of the fireball energy is expected to be converted by photo-meson production to a burst of 1014eV\sim10^{14} eV neutrinos. A km^2 neutrino detector would observe at least several tens of events per year correlated with GRBs, and test for neutrino properties (e.g. flavor oscillations, for which upward moving τ\tau's would be a unique signature, and coupling to gravity) with an accuracy many orders of magnitude better than is currently possible.Comment: Submitted to PRL (4 pages, LaTeX

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