{ "id": "2005.07630", "version": "v1", "published": "2020-05-15T16:38:58.000Z", "updated": "2020-05-15T16:38:58.000Z", "title": "Revisiting the Relationship between the Long GRB Rate and Cosmic Star Formation History Based on a Large Swift Sample", "authors": [ "Jing-Meng Hao", "Liang Cao", "You-Jun Lu", "Qing-Bo Chu", "Jun-Hui Fan", "Ye-Fei Yuan", "Yu-Hai Yuan" ], "comment": "Published in ApJS", "doi": "10.3847/1538-4365/ab88da", "categories": [ "astro-ph.HE" ], "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 $L_{\\mathrm{iso}}\\gtrsim10^{51}\\,\\mathrm{erg\\, s^{-1}}$ between $z\\sim1$ and $z\\sim4$. 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 $0.3\\,Z_{\\odot}\\leqslant Z_{\\mathrm{th}}\\leqslant1.0\\,Z_{\\odot}$ are consistent with the sample between redshift $0