Revisiting the Relationship between the Long GRB Rate and Cosmic Star Formation History Based on a Large Swift Sample

Abstract

The exact relationship between the long gamma-ray burst (LGRB) rate and the cosmic star formation rate (CSFR) is essential for using LGRBs as cosmological probes. In this work, we collect a large sample composed of 371 Swift LGRBs with known redshifts and prompt emission properties. We first compare the rest-frame prompt properties of these bursts in different redshift bins, finding negligible redshift evolution of the luminosity of LGRBs with $L_{\mathrm{iso}}\gtrsim 10^{51}\mathrm{erg}{\mathrm{s}}^{-1}$ between $z\sim 1$ and $z\sim 4$. Then, by utilizing the CSFR obtained from the large-scale cosmological hydrodynamical simulation, the Illustris simulation, we calculate the cumulative redshift distribution of LGRBs under different metallicity thresholds. After comparing with our sample, we find that the predictions with a moderate threshold between $0.3Z_{\odot }⩽Z_{\mathrm{th}}⩽1.0Z_{\odot }$ are consistent with the sample between redshift $0<z<3$, while at higher redshifts between $3<z<5$, all metallicity thresholds fit the data well. When changing to an empirical model based on observations, the predictions show similar results as well. After comparing with the metallicity distribution of the observed LGRB host galaxies between $0<z<1$, we confirm that the production of LGRBs in galaxies with super-solar metallicity is suppressed. Nevertheless, considering that a significant fraction of stars are born in sub-solar metallicity environments at $z\gtrsim 3$, we suggest that, as a first approximation, LGRBs can be used as direct tracers of the CSFR in this redshift range.

Published in ApJS

References in corpus (14)

• Cosmic Star Formation History
• Introducing the Illustris Project: Simulating the coevolution of dark and visible matter in the Universe
• The Supernova -- Gamma-Ray Burst Connection
• Properties of galaxies reproduced by a hydrodynamic simulation
• Introducing the Illustris Project: the evolution of galaxy populations across cosmic time
• The Galaxy Population Hosting Gamma-Ray Bursts
• Measured Metallicities at the Sites of Nearby Broad-Lined Type Ic Supernovae and Implications for the SN-GRB Connection
• A Turnover in the Galaxy Main Sequence of Star Formation at $M_{\ast }\sim 10^{10}{M}_{\odot }$ for Redshifts $z<1.3$
• The ultra-long Gamma-Ray Burst 111209A: the collapse of a blue supergiant?
• The optically unbiased GRB host (TOUGH) survey. I. Survey design and catalogs
• The contribution of star formation and merging to stellar mass buildup in galaxies
• How common are long Gamma-Ray Bursts in the Local Universe?
• Long GRBs are metallicity-biased tracers of star formation: evidence from host galaxies and redshift distribution
• The First Billion Years project: gamma-ray bursts at z>5