SIMBAD references

In this Letter, we systematically investigate the redshift and luminosity distributions as well as the event rates of short gamma-ray bursts (SGRBs) detected by Swift, Fermi, and Konus-Wind satellites. It is found that the distributions of redshift and luminosity of Fermi and Konus-Wind SGRBs are identical, and they obviously differ from those of Swift/Burst Alert Telescope (BAT) SGRBs. The luminosity distributions of SGRBs detected by diverse detectors can be uniformly fitted by a smoothly broken power-law function. The median luminosity of Swift SGRBs is about 1 order of magnitude smaller than that of Fermi/Gamma-ray Burst Monitor (GBM) or Konus-Wind SGRBs. We also compare the local event rates of Swift/BAT, Fermi/GBM, and Konus-Wind SGRBs and find that the local rate of Swift SGRBs is around 2 orders of magnitude larger than that of either Fermi or Konus-Wind SGRBs, while the latter two rates are comparable. The observed SGRB rates can be successfully fitted by a power law plus Gauss function. The SGRB rates of three kinds of detectors match the delayed/undelayed star formation rates (SFRs) well, except the delayed lognormal and/or Gaussian SFRs at higher redshift, and exceed all types of SFRs at lower redshifts of z < 1. After deducting the diverse SFR components from the SGRB rates, to our surprise, we notice that the remaining SGRB rates steeply decline with redshift in a power-law-like form, indicating that these SGRBs could emerge from the old star populations or compact binary star mergers.