Mathematics – Logic
Scientific paper
Jan 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21540504n&link_type=abstract
American Astronomical Society, AAS Meeting #215, #405.04; Bulletin of the American Astronomical Society, Vol. 42, p.228
Mathematics
Logic
Scientific paper
GRB satellites do not detect all GRBs with equal efficiency. Specifically, most GRB satellites are relatively inefficient detectors of dim hard bursts because they trigger on photon counts, which are number-biased against hard photons. Therefore, for example, given two bursts of identical peak luminosity near the detection threshold, a dim soft burst will be preferentially detected over a dim hard burst. This detector bias can distort or even create an apparent correlation where increasingly hard GRBs appear increasingly bright. Although such correlations may be obfuscated by a middle step where GRBs need to be bright enough to have their actual redshifts determined, it is found that the bias is generally pervasive. This result is derived here through simulations convolving a wide variety of possible GRB brightnesses and spectra with the BATSE Large Area Detectors (LAD) detection thresholds. The presented analyses indicate that the peak of the ν Fν distribution in the frame of the GRB, Epeak, has biases when used as a cosmological standard candle. Therefore, the appearance of Epeak in seeming correlations such as the Amati (Eisotropic - Epeak), Ghirlanda (Eγ - Epeak, and Lisotropic - Epeak relations are statistically real but strongly influenced by GRB detector thresholds.
Nemiroff Robert J.
Shahmoradi Amir
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