SIMBAD references

In this paper, we study the luminosity function and formation rate of short gamma-ray bursts (sGRBs). First, we derive the E_p–L_p correlation using 16 sGRBs with redshift measurements and determine the pseudo redshifts of 284 Fermi sGRBs. Then, we use the Lynden-Bell c^– method to study the luminosity function and formation rate of sGRBs without any assumptions. A strong evolution of luminosity L(z)∝(1+z)^4.47 is found. After removing this evolution, the luminosity function is Ψ(L)∝L₀^-0.29±0.01^ for dim sGRBs and ψ(L)∝L₀^-1.07±0.01^ for bright sGRBs, with the break point 8.26×10⁵⁰ erg s^–1. We also find that the formation rate decreases rapidly at z 1.0, which is different from previous works. The local formation rate of sGRBs is 7.53 events Gpc^–3 yr^–1. Considering the beaming effect, the local formation rate of sGRBs including off-axis sGRBs is 203.31_–135.54^+1152.09 events Gpc^–3 yr^–1. We also estimate that the event rate of sGRBs detected by the advanced LIGO and Virgo is 0.85_–0.56^+4.82 events yr^–1 for an NS-NS binary.