The Fast Radio Burst Population Energy Distribution

TL;DR

This study analyzes the energy distribution of fast radio bursts using a sample of 63 events, applying statistical tests to determine the distribution shape and identify limitations in current data for further insights.

Contribution

It provides the first detailed energy distribution analysis of FRBs over a broad redshift range, considering cosmological and instrumental effects, and discusses systematic limitations.

Findings

Energy distribution consistent with a power-law and Schechter function

Identified systematic effects limiting distribution probing

Current data insufficient to distinguish models

Abstract

We examine the energy distribution of the fast radio burst (FRB) population using a well-defined sample of 63 FRBs from the ASKAP radio telescope, 28 of which are localised to a host galaxy. We apply the luminosity-volume ($V/V_{\mathrm{max}}$) test to examine the distribution of these transient sources, accounting for cosmological and instrumental effects, and determine the energy distribution for the sampled population over the redshift range $0.01 \lesssim z \lesssim 1.02$. We find the distribution between $10^{23}$ and $10^{26}$J Hz$^{-1}$ to be consistent with both a pure power-law with differential slope $\gamma=-1.96 \pm 0.15$, and a Schechter function with $\gamma = -1.82 \pm 0.12$ and downturn energy $E_{\rm max} \sim 6.3 \cdot 10^{25}$J Hz$^{-1}$. We identify systematic effects which currently limit our ability to probe the luminosity function outside this range and give a prescription for their treatment. Finally, we find that with the current dataset, we are unable to distinguish between the evolutionary and spectral models considered in this work.