Research on the redshift evolution of luminosity function and selection effect of GRBs

Abstract

We study the redshift evolution of the luminosity function (LF) and redshift selection effect of long gamma-ray bursts (LGRBs). The method is to fit the observed peak flux and redshift distributions, simultaneously. To account for the complex triggering algorithm of Swift, we use a flux triggering efficiency function. We find evidence supporting an evolving LF, where the break luminosity scales as $L_b\propto (1+z{)}^{\tau }$, with $\tau =3.5_{-0.2}^{+0.4}$ and $\tau =0.8_{-0.08}^{+0.1}$ for two kind of LGRB rate models. The corresponding local GRB rates are $\dot{R}(0)=0.86^{+0.11}_{-0.08} \yr^{-1}\Gpc^{-3}$ and $\dot{R}(0)= 0.54^{+0.25}_{-0.07} \yr^{-1}\Gpc^{-3}$, respectively. Furthermore, by comparing the redshift distribution between the observed one and our mocked one, we find that the redshift detection efficiency of the flux triggered GRBs decreases with redshift. Especially, a great number of GRBs miss their redshifts in the redshift range of $1<z<2.5$, where "redshift desert" effect may be dominated. More interestingly, our results show that the "redshift desert" effect is mainly introduced by the dimmer GRBs, e.g., $P<10^{-7}\ergs /\s/\cm^2$, but has no effect on the brighter GRBs.

8 pages, 4 figures, 1 table, accepted by MNRAS

References in corpus (20)

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• The high-redshift star formation rate derived from GRBs: possible origin and cosmic reionization
• Selection effects shaping the Gamma Ray Burst redshift distributions
• Long GRBs are metallicity-biased tracers of star formation: evidence from host galaxies and redshift distribution
• Constraining the rate and luminosity function of Swift gamma-ray bursts
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Cited by in corpus (7)

• The Luminosity Function and Formation Rate of A Complete Sample of Long Gamma-Ray Bursts
• Revisiting the luminosity and redshift distributions of long gamma-ray bursts
• The jet structure and the intrinsic luminosity function of short gamma-ray bursts
• Gamma-ray burst cosmology: Hubble diagram and star formation history
• Short Gamma-Ray Bursts and Gravitational-Wave Observations from Eccentric Compact Binaries
• The Stellar-mass Function of Long Gamma-Ray Burst Host Galaxies
• Comparing the birth rate of stellar black holes in binary black hole mergers and long GRBs