Probability for a gamma-ray burst to be coincident with a galaxy on the sky

Mathematics – Probability

Scientific paper

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Gamma-Ray Sources, Gamma-Ray Bursts, Magnitudes And Colors, Luminosities, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies

Scientific paper

The nearby long GRB 060614 was not accompanied by a supernova, challenging the collapsar model for long GRBs and the traditional classification scheme for GRBs. However, Cobb et al. have argued that the association of GRB 060614 and its host galaxy might be a chance coincidence. In this work we calculate the probability for a GRB to be coincident with a galaxy on the sky using a galaxy luminosity function obtained from SDSS. We find that, up to redshift sim0.3 that can be reached for galaxies in SDSS, the probability is about one percent. Using an evolving galaxy luminosity function obtained from VVDS, we find that between 0.2<=z<1.5, the probability is about 2.3 percent. The probability will increase considerably if the telescope magnitude limit is improved significantly in future, making it very hard to identify a GRB host galaxy based only on the superposition of a GRB and a galaxy on the sky.

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