A Comprehensive Study of the Energy and Redshift Distributions of the Fast Radio Burst Population Based on the First CHIME/FRB Catalog

Abstract

Fast radio bursts (FRBs) are brief, high-energy bursts of radio waves from extragalactic sources, and their origin remains an open question. In this paper, we perform a comprehensive analysis of the FRB population using the first CHIME/FRB catalog, focusing on their energy and redshift distribution, with careful consideration of selection effects. We investigate a range of models, including the Schechter function and the broken power-law function for the energy distribution, and several redshift evolution models, such as the star formation history (SFH) model, as well as models incorporating time delays relative to the SFH or additional redshift evolution factors. Our results indicate that the energy distribution of FRBs is best described by the Schechter function, with a power-law index of $\gamma =-1.49_{-0.27}^{+0.37}$ and a characteristic cutoff energy of $E_{\mathrm{c}}=2.82_{-1.47}^{+2.43}\times 10^{41}$ erg. Furthermore, we find no evidence for redshift evolution in the energy distribution of FRBs. In terms of their redshift distribution, our analysis shows that it follows the cosmic SFH, without requiring additional delayed components or redshift evolution factors, suggesting that most FRBs likely originate from young stellar populations. Simultaneously, we infer a local volumetric rate of ${\Phi }_0=4.68_{-2.39}^{+4.66}\times 10^4\mathrm{Gp}{\mathrm{c}}^{-3}\mathrm{y}{\mathrm{r}}^{-1}$ for $E>10^{39}$ erg. These results, robust against CHIME observational biases, may provide new insights into the underlying properties of the FRB population.

arXiv comment18 pages, 7 figures, 2 tables, published in ApJ

References in corpus (63)

• Cosmic Star Formation History
• A bright millisecond radio burst of extragalactic origin
• A Population of Fast Radio Bursts at Cosmological Distances
• Information criteria for astrophysical model selection
• The direct localization of a fast radio burst and its host
• A fast radio burst associated with a Galactic magnetar
• A bright millisecond-duration radio burst from a Galactic magnetar
• The Host Galaxy and Redshift of the Repeating Fast Radio Burst FRB 121102
• A census of baryons in the Universe from localized fast radio bursts
• Fast Radio Bursts: An Extragalactic Enigma
• The First CHIME/FRB Fast Radio Burst Catalog
• A repeating fast radio burst source localised to a nearby spiral galaxy
• The Repeating Fast Radio Burst FRB 121102 as Seen on Milliarcsecond Angular Scales
• Millisecond Magnetar Birth Connects FRB 121102 to Superluminous Supernovae and Long Duration Gamma-ray Bursts
• INTEGRAL discovery of a burst with associated radio emission from the magnetar SGR 1935+2154
• A flaring magnetar in FRB 121102?
• A repeating fast radio burst associated with a persistent radio source
• Cosmic Dispersion Measure from Gamma-Ray Burst Afterglows: Probing the Reionization History and the Burst Environment
• Cosmological implications of Fast Radio Burst / Gamma-Ray Burst Associations
• The Physics of Fast Radio Bursts
• Probing the Cosmic Reionization History and Local Environment of Gamma-Ray Bursts through Radio Dispersion
• A nearby repeating fast radio burst in the direction of M81
• Blast Waves from Magnetar Flares and Fast Radio Bursts
• A concordance picture of FRB 121102 as a flaring magnetar embedded in a magnetized ion-electron wind nebula
• FRB 121102 is coincident with a star forming region in its host galaxy
• Repeating Fast Radio Bursts from Magnetars with Low Magnetospheric Twist
• On the FRB luminosity function -- II. Event rate density
• On the normalised FRB luminosity function
• Probing the Intergalactic Medium with Fast Radio Bursts
• The spectral properties of the bright FRB population
• Periodic Fast Radio Bursts from Luminous X-ray Binaries
• The 60 pc Environment of FRB 20180916B
• Are all fast radio bursts repeating sources?
• Sub-second periodicity in a fast radio burst
• Inferring the Energy and Distance Distributions of Fast Radio Bursts using the First CHIME/FRB Catalog
• Fast radio bursts and their high-energy counterpart from magnetar magnetospheres
• Chronicling the Host Galaxy Properties of the Remarkable Repeating FRB 20201124A
• Implications from ASKAP Fast Radio Burst Statistics
• The Fast Radio Burst Luminosity Function and Death Line in the Low-Twist Magnetar Model
• Blinkverse: A Database of Fast Radio Bursts
• Energy functions of fast radio bursts derived from the first CHIME/FRB catalogue
• Milliarcsecond localisation of the repeating FRB 20201124A
• On the energy and redshift distributions of fast radio bursts
• Simulations on High-z Long Gamma-Ray Burst Rate
• No redshift evolution of non-repeating fast radio-burst rates
• Synthesizing the repeating FRB population using frbpoppy
• The Fast Radio Burst Dispersion Measure Distribution
• A Highly Variable Magnetized Environment in a Pulsar Binary resembling Fast Radio Bursts
• Can a Single Population Account for the Discriminant Properties in Fast Radio Bursts?
• Synthesizing the intrinsic FRB population using frbpoppy
• Fast Radio Burst Distributions Consistent with the First CHIME/FRB Catalog
• Fast radio bursts: do repeaters and non-repeaters originate in statistically similar ensembles
• Cosmic Evolution of Long Gamma-Ray Burst Luminosity
• The luminosity--volume test for cosmological Fast Radio Bursts
• Birth and Evolution of Fast Radio Bursts: Strong Population-Based Evidence for a Neutron-Star Origin
• Revised Constraints on the fast radio burst population from the first CHIME/FRB catalog
• One-off and Repeating Fast Radio Bursts: A Statistical Analysis
• Hybrid Pulsar-Magnetar Model for FRB 20191221A
• Multi-dimensional population modelling using frbpoppy: magnetars can produce the observed Fast Radio Burst sky
• Revisiting the energy distribution and formation rate of CHIME fast radio bursts
• The Fast Radio Burst Population Energy Distribution
• Diverse origins for non-repeating fast radio bursts: Rotational radio transient sources and cosmological compact binary merger remnants
• Constraints on the progenitor models of fast radio bursts from population synthesis with the first CHIME/FRB catalog

Cited by in corpus (1)

• Unveiling the spectral morphological division of fast radio bursts with CHIME/FRB Catalog 2