Constraining the Fast Radio Burst (FRB) properties using the joint distributions of dispersion measure and fluence of the events detected at Parkes, ASKAP, CHIME and UTMOST

Abstract

The Parkes, ASKAP, CHIME and UTMOST telescopes, which have all detected FRBs, each works at a different frequency and has a different detection criteria. Using simulations, we have combined the constraints from all four telescopes to identify an allowed range of model parameters $(α, \E33)$ for the FRB source population. Here $\alpha$ is the spectral index and $\E33$ is the mean FRB energy in units of $10^{33}\mathrm{J}$ across a $2128-2848\mathrm{MHz}$ band in the FRB rest frame. We have considered several different FRB energy distributions, and also different scenarios for the scattering pulse broadening, the event rate density variation with $z$ and the host dispersion measure. We find that in all cases, the common allowed region includes the range $-3.9\le \alpha \le -1.3$ and $0.42\leq\E33\leq1$. In all case, large values $\alpha >4$ and $\E33 >60$ are ruled out. Considering the allowed $(α, \E33)$ parameter range, we predict that CHIME is unlikely to detect an FRB with extra-galactic dispersion measure $(D{M}_{Ex})$ exceeding $3700{\mathrm{pc}\mathrm{cm}}^{-3}$. A substantially larger $D{M}_{Ex}$ in the large FRB sample anticipated from CHIME would falsify the assumptions of the present analysis. Our analysis is expected to yield tighter parameter constraints with the advent of more FRB data.

11 pages, 13 figures, accepted for publication in MNRAS

References in corpus (19)

• Cosmic Star Formation History
• A bright millisecond radio burst of extragalactic origin
• The direct localization of a fast radio burst and its host
• A census of baryons in the Universe from localized fast radio bursts
• Fast Radio Burst Discovered in the Arecibo Pulsar ALFA Survey
• A repeating fast radio burst source localised to a nearby spiral galaxy
• A single fast radio burst localized to a massive galaxy at cosmological distance
• A fast radio burst localised to a massive galaxy
• A Second Source of Repeating Fast Radio Bursts
• The magnetic field and turbulence of the cosmic web measured using a brilliant fast radio burst
• Observations of Fast Radio Bursts at Frequencies down to 400 Megahertz
• The detection of an extremely bright fast radio burst in a phased array feed survey
• A search for optical bursts from the repeating fast radio burst FRB 121102
• Five new real-time detections of Fast Radio Bursts with UTMOST
• Constraints on the low frequency spectrum of FRB 121102
• An X-Ray Burst from a Magnetar Enlightening the Mechanism of Fast Radio Bursts
• A Survey of the Galactic Plane for Dispersed Pulses with the Australian Square Kilometre Array Pathfinder
• Search for Fast Radio Bursts in the Direction of the Galaxies M31 and M33
• A Southern sky search for repeating Fast Radio Bursts using the Australian SKA Pathfinder

Cited by in corpus (1)

• A maximum likelihood estimate of the parameters of the FRB population