Testing a new luminosity/redshift indicator for $\gamma$-ray bursts

TL;DR

This paper evaluates a spectral lag-based luminosity and redshift indicator for gamma-ray bursts, demonstrating its consistency with observations and potential as a cosmological tool.

Contribution

The study tests and validates a new RSL method for estimating GRB luminosity and redshift, showing its reliability and potential for cosmological applications.

Findings

The RSL method aligns well with observed luminosity and redshift data.

No violations found in generalized tests within current precision.

Approximately 36% of previous samples are outliers at 1σ, but none at 3σ.

Abstract

We have tested a relative spectral lag (RSL) method suggested earlier as a luminosity/redshift (or distance) estimator, using the generalized method by Schaefer & Collazzi. We find the derivations from the luminosity/redshift-RSL (L/R-RSL) relation are comparable with the corresponding observations. Applying the luminosity-RSL relation to two different GRB samples, we find that there exist no violators from the generalized test, namely the Nakar & Piran test and Li test. We also find that about 36 per cent of Schaefer's sample are outliers for the L/R-RSL relation within 1$\sigma$ confidence level, but no violators at 3$\sigma$ level within the current precision of L/R-RSL relation. An analysis of several potential outliers for other luminosity relations shows they can match the L/R-RSL relation well within an acceptable uncertainty. All the coincident results seem to suggest that this relation could be a potential tool for cosmological study.