Can GRB Empirical Correlations Be Used for Population Studies?

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Autori principali: Yorgancioglu, Emre S., Du, Yun-Fei, Yi, Shu-Xu, Zhang, Shuang-Nan
Natura: Preprint
Pubblicazione: 2025
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author Yorgancioglu, Emre S.
Du, Yun-Fei
Yi, Shu-Xu
Zhang, Shuang-Nan
author_facet Yorgancioglu, Emre S.
Du, Yun-Fei
Yi, Shu-Xu
Zhang, Shuang-Nan
contents 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, $Ψ_{GRB}$. Our analysis demonstrates that, even under idealized conditions that neglect substantial uncertainties, the derived redshift solutions cannot accurately constrain $Ψ_{GRB}$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16192
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Can GRB Empirical Correlations Be Used for Population Studies?
Yorgancioglu, Emre S.
Du, Yun-Fei
Yi, Shu-Xu
Zhang, Shuang-Nan
High Energy Astrophysical Phenomena
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, $Ψ_{GRB}$. Our analysis demonstrates that, even under idealized conditions that neglect substantial uncertainties, the derived redshift solutions cannot accurately constrain $Ψ_{GRB}$, 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.
title Can GRB Empirical Correlations Be Used for Population Studies?
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2507.16192