Gamma-Ray Bursts Calibrated by Using Artificial Neural Networks from the Pantheon+ Sample

TL;DR

This study uses artificial neural networks to calibrate gamma-ray bursts independently of cosmological models, enabling high-redshift cosmological constraints consistent with other calibration methods.

Contribution

It introduces an ANN-based calibration of GRBs using the Pantheon+ sample, providing a model-independent approach to construct the Hubble diagram at high redshift.

Findings

Constraints on cosmological parameters consistent with previous methods

ANN calibration aligns with Gaussian Process calibration results

Supports dark energy models with potential redshift evolution

Abstract

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) by Artificial Neural Networks (ANN) which is employed to analyze the Pantheon+ sample of type Ia supernovae (SNe Ia) in a manner independent of cosmological assumptions. The A219 GRB dataset are used to calibrate the Amati relation (\(E_{\rm p}\)-\(E_{\rm iso}\)) at low redshift with the ANN framework, facilitating the construction of the Hubble diagram at higher redshifts. Cosmological models are constrained with GRBs at high-redshift and the latest observational Hubble data (OHD) via a Markov Chain Monte Carlo numerical approach. For the Chevallier-Polarski-Linder (CPL) model within a flat universe, we obtain \(\Omega_{\rm m} = 0.321^{+0.078}_{-0.069}\), \(h = 0.654^{+0.053}_{-0.071}\), \(w_0 = -1.02^{+0.67}_{-0.50}\), and \(w_a = -0.98^{+0.58}_{-0.58}\) at the 1-\(\sigma\) confidence level, which indicating a preference for dark energy with potential redshift evolution (\(w_a \neq 0\)). These findings by using ANN align closely with those derived from GRBs calibrated by using Gaussian Processes.