A Stochastic Approach To Reconstruct Gamma Ray Burst Lightcurves

TL;DR

This paper introduces a stochastic and model-independent Gaussian Process method to reconstruct incomplete gamma-ray burst light curves, significantly reducing uncertainties in key parameters for cosmological applications.

Contribution

It presents a novel stochastic reconstruction technique combining existing models and Gaussian Processes to fill light curve gaps with reduced uncertainties.

Findings

Uncertainty in GRB parameters decreases by up to 43% with the new methods.

Both stochastic and Gaussian Process approaches improve light curve coverage.

Enhanced light curve reconstruction aids in using GRBs as cosmological tools.

Abstract

Gamma-Ray Bursts (GRBs), being observed at high redshift (z = 9.4), vital to cosmological studies and investigating Population III stars. To tackle these studies, we need correlations among relevant GRB variables with the requirement of small uncertainties on their variables. Thus, we must have good coverage of GRB light curves (LCs). However, gaps in the LC hinder the precise determination of GRB properties and are often unavoidable. Therefore, extensive categorization of GRB LCs remains a hurdle. We address LC gaps using a 'stochastic reconstruction,' wherein we fit two pre-existing models (Willingale 2007; W07 and Broken Power Law; BPL) to the observed LC, then use the distribution of flux residuals from the original data to generate data to fill in the temporal gaps. We also demonstrate a model-independent LC reconstruction via Gaussian Processes. At 10% noise, the uncertainty of the end time of the plateau, its correspondent flux, and the temporal decay index after the plateau decreases, on average, by 33.3% 35.03%, and 43.32%, respectively for the W07, and by 33.3%, 30.78%, 43.9% for the BPL. The slope of the plateau decreases by 14.76% in the BPL. After using the Gaussian Process technique, we see similar trends of a decrease in uncertainty for all model parameters for both the W07 and BPL models. These improvements are essential for the application of GRBs as standard candles in cosmology, for the investigation of theoretical models and for inferring the redshift of GRBs with future machine learning analysis.