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Can GRB Empirical Correlations Be Used for Population Studies?

2025/07/22 by Emre Seyit Yorgancioglu, Yorgancioglu, Emre S., Yunfei Du +5
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Gamma-ray bursts and supernovae #Geophysics and Gravity Measurements #High Energy Astrophysical Phenomena (astro-ph.HE) #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.2507.16192

openalex publication_date 2025/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Only a small fraction of Gamma-ray bursts (GRBs) have independent redshift measurements, which are essential for understanding their intrinsic properties. For this reason, empirical correlations of GRBs have often been touted as useful distance indicators, for both individual GRBs as well as population studies. Building upon our previous work, we test the ability of the Yonetoku, 3D Dainotti, and the L-T-E correlation to adequately constrain the GRB rate, ΨGRB. Our analysis demonstrates that, even under idealized conditions that neglect substantial uncertainties, the derived redshift solutions cannot accurately constrain ΨGRB, regardless of the intrinsic distribution's characteristic width. We thus demonstrate unequivocally that -- notwithstanding the questionable assumption of no selection biases -- empirical GRB correlations alone cannot serve as reliable distance indicators at either the individual or population level.

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