A Statistical Treatment of the Gamma‐Ray Burst “No Host Galaxy” Problem.II. Energies of Standard Candle Bursts

With the discovery that the afterglows after some bursts are coincident withfaint galaxies, the search for host galaxies is no longer a test of whetherbursts are cosmological, but rather a test of particular cosmological models.The methodology we developed to investigate the original "no host galaxy"problem is equally valid for testing different cosmological models, and isapplicable to the galaxies coincident with optical transients. We apply thismethodology to a family of models where we vary the total energy of standardcandle bursts. We find that total isotropic energies of E<2e52~erg are ruledout while log(E)~53 erg is favored.Comment: To appear in Ap.J., 514, 15 pages + 7 figures, AASTeX 4.0. Revisions are: additional author, updated data, and minor textual change