SIMBAD references

The redshift and luminosity distributions of 36 Swift short gamma-ray bursts (GRBs) are fitted by connecting their event rates with cosmic star formation rates using power-law distributed delay times f (τ ) ∝ τ^–1, where a broken-power-law luminosity function is assumed and some empirical observational selection effects are taken into account. As a result, the most-likely model parameters are constrained to be ν₁ = 0.91, ν₂ = 1.66 as power-law indices, with a break at L_b = 2.51 x 10⁵¹ erg s^–1 for the luminosity function and τ_c = 6.0 Gyr for a typical gravitational wave decay timescale of the binary orbit. The corresponding local rate of short GRBs is found to be ∼ (3 - 4) Gpc^–3 yr^–1. With these parameters, the detectable numbers of short GRBs are estimated within the horizon of Advanced LIGO.