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 ##IMG## [http://ej.iop.org/images/0067-0049/248/1/21/apjsab88daieqn1.gif] {${L}_{\mathrm{iso}}\gtrsim {10}^{51}\,\mathrm{erg}\,{{\rm{s}}}^{-1}$} between z ∼ 1 and z ∼ 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 ##IMG##

中文翻译：

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基于大斯威夫特样本重新探讨长GRB率与宇宙恒星形成历史之间的关系

长伽马射线爆发（LGRB）速率与宇宙恒星形成速率（CSFR）之间的确切关系对于使用LGRB作为宇宙学探测器至关重要。在这项工作中，我们收集了一个由371个Swift LGRB组成的大样本，这些RedRB具有已知的红移和即时发射特性。我们首先比较这些突发在不同的红移仓中的静止帧提示属性，发现使用## IMG ## [http://ej.iop.org/images/0067-0049/248时，LGRB的发光度可忽略不计的红移演变。 /1/21/apjsab88daieqn1.gif] {$ {L} _ {\ mathrm {iso}} \ gtrsim {10} ^ {51} \，\ mathrm {erg} \，{{\ rm {s}}} ^ {-1} $}在z〜1和z〜4之间。然后，利用从大规模宇宙流体动力学模拟（Illustris模拟）获得的CSFR，我们计算出在不同金属度阈值下LGRB的累积红移分布。