The GRB Afterglow Modeling Project (AMP): Statistics and Lyα Forest Absorption Model

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Gamma-Ray Sources, Gamma-Ray Bursts, Photometric, Polarimetric, And Spectroscopic Instrumentation, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies

Scientific paper

The Afterglow Modeling Project (AMP) will determine, in a statistically self-consistent way, parameters that describe the time- and frequency-dependent emission and absorption of every gamma-ray burst (GRB) afterglow observed since the first detection in 1997, using all published data for each GRB. The result will be an ever-growing catalog of fitted model parameters for GRB afterglows that can itself be analyzed to better describe the range of and relationships among the physical properties of GRBs and their environments. We first present the Bayesian statistic we use to fit afterglow models. Our statistic corrects for inherent problems we have discovered in previous two-dimensional statistics. Approximately 40 parameters describe line-of-sight extinction due to dust and absorption due to neutral hydrogen and molecular hydrogen in the GRB host galaxy; absorption due to neutral hydrogen in the intergalactic medium (the Lyα forest) and extinction due to dust in the Milky Way. This very large parameter space is significantly reduced by priors, which we determined by analyzing previously published extinction measurements of stars in our galaxy and the Magellanic Clouds, and flux deficits due to Lyα absorption in the spectra of quasars at redshifts in the range 2

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