A Bayesian Inference Framework for Gamma-Ray Burst Afterglow Properties

Abstract

In the field of multi-messenger astronomy, Bayesian inference is commonly adopted to compare the compatibility of models given the observed data. However, to describe a physical system like neutron star mergers and their associated gamma-ray burst (GRB) events, usually more than ten physical parameters are incorporated in the model. With such a complex model, likelihood evaluation for each Monte Carlo sampling point becomes a massive task and requires a significant amount of computational power. In this work, we perform quick parameter estimation on simulated GRB X-ray light curves using an interpolated physical GRB model. This is achieved by generating a grid of GRB afterglow light curves across the parameter space and replacing the likelihood with a simple interpolation function in the high-dimensional grid that stores all light curves. This framework, compared to the original method, leads to a $\sim$90$\times$ speedup per likelihood estimation. It will allow us to explore different jet models and enable fast model comparison in the future.

arXiv comment9 pages, 4 figures, accepted to the special issue of Universe, "Waiting for GODOT -- Present and Future of Multi-Messenger Astronomy"

References in corpus (24)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• The X-ray counterpart to the gravitational wave event GW 170817
• Observation of gravitational waves from two neutron star-black hole coalescences
• Compact radio emission indicates a structured jet was produced by a binary neutron star merger
• The outflow structure of GW170817 from late time broadband observations
• Electromagnetic Counterparts to Structured Jets from Gravitational Wave Detected Mergers
• A turnover in the radio light curve of GW170817
• Short GRB 160821B: a reverse shock, a refreshed shock, and a well-sampled kilonova
• The optical afterglow of GW170817 at one year post-merger
• Low frequency view of GW 170817/GRB 170817A with the Giant Meterwave Radio Telescope
• A thousand days after the merger: continued X-ray emission from GW170817
• Dynamical Model of an Expanding Shell
• Late-time Evolution of Afterglows from Off-Axis Neutron-Star Mergers
• Afterglow constraints on the viewing angle of binary neutron star mergers and determination of the Hubble constant
• GRB jet structure and the jet break
• Multimessenger parameter estimation of GW170817: from jet structure to the Hubble constant
• The jet structure and the intrinsic luminosity function of short gamma-ray bursts