Coincident GRB neutrino flux predictions: Implications for experimental UHE neutrino physics

In the hadronic fireball phenomenology of Gamma Ray Bursts (GRBs), it is expected that the observed photons are accompanied by UHE neutrinos, which have not been observed yet. It is one of the challenges of experimental UHE neutrino astrophysics to look for a signal from GRBs. In this paper, the differences between a search for a diffuse signal and an examination of a source sample given by e.g. BATSE will be analyzed. Since redshift information is needed to determine the correct energy spectrum, long duration bursts with redshifts from different estimate methods will be used. We will start with an overview of the current understanding of GRB neutrino physics and will then use this knowledge to make predictions for a coincidence flux and a corresponding diffuse flux. It can be shown that shape and normalization of the spectrum is highly dependent on the set of bursts used and that individual bursts can determine the total spectrum.