{ "id": "1511.04483", "version": "v1", "published": "2015-11-14T00:14:28.000Z", "updated": "2015-11-14T00:14:28.000Z", "title": "Long GRBs as a Tool to Investigate Star Formation in Dark Matter Halos", "authors": [ "Jun-Jie Wei", "Jing-Meng Hao", "Xue-Feng Wu", "Ye-Fei Yuan" ], "comment": "23 pages, 6 figures, 1 table, accepted by Journal of High Energy Astrophysics", "categories": [ "astro-ph.HE", "astro-ph.GA" ], "abstract": "First stars can only form in structures that are suitably dense, which can be parametrized by the minimum dark matter halo mass $M_{\\rm min}$. $M_{\\rm min}$ must plays an important role in star formation. The connection of long gamma-ray bursts (LGRBs) with the collapse of massive stars has provided a good opportunity for probing star formation in dark matter halos. We place some constraints on $M_{\\rm min}$ using the latest $Swift$ LGRB data. We conservatively consider that LGRB rate is proportional to the cosmic star formation rate (CSFR) and an additional evolution parametrized as $(1+z)^{\\alpha}$, where the CSFR model as a function of $M_{\\rm min}$. Using the $\\chi^{2}$ statistic, the contour constraints on the $M_{\\rm min}$--$\\alpha$ plane show that at the $1\\sigma$ confidence level, we have $M_{\\rm min}<10^{10.5}$ $\\rm M_{\\odot}$ from 118 LGRBs with redshift $z<4$ and luminosity $L_{\\rm iso}>1.8\\times10^{51}$ erg $\\rm s^{-1}$. We also find that adding 12 high-\\emph{z} $(43.1\\times10^{51}$ erg $\\rm s^{-1}$) could result in much tighter constraints on $M_{\\rm min}$, for which, $10^{7.7}\\rm M_{\\odot}