Cosmic Evolution of Long Gamma-Ray Burst Luminosity

Abstract

The cosmic evolution of gamma-ray burst (GRB) luminosity is essential for revealing the GRB physics and for using GRBs as cosmological probes. We investigate the luminosity evolution of long GRBs with a large sample of 258 {\em Swift}/BAT GRBs. Parameterized the peak luminosity of individual GRBs evolves as $L_{\mathrm{p}}\propto (1+z{)}^k$, we get $k=1.49\pm 0.19$ using the non-parametric $\tau$ statistics method without considering observational biases of GRB trigger and redshift measurement. By modeling these biases with the observed peak flux and characterizing the peak luminosity function of long GRBs as a smoothly broken power-law with a break that evolves as $L_{\mathrm{b}}\propto (1+z{)}^{k_{\mathrm{b}}}$, we obtain $k_{\mathrm{b}}=1.14_{-0.47}^{+0.99}$ through simulations based on assumption that the long GRB rate follows the star formation rate (SFR) incorporating with cosmic metallicity history. The derived $k$ and $k_b$ values are systematically smaller than that reported in previous papers. By removing the observational biases of the GRB trigger and redshift measurement based on our simulation analysis, we generate mock {\em complete} samples of 258 and 1000 GRBs to examine how these biases affects on the $\tau$ statistics method. We get $k=0.94\pm 0.14$ and $k=0.80\pm 0.09$ for the two samples, indicating that these observational biases may lead to overestimate the $k$ value. With the large uncertain of $k_b$ derived from our simulation analysis, one even cannot convincingly argue a robust evolution feature of the GRB luminosity.

37 pages, 6 figures, accepted for publication in ApJ

References in corpus (22)

• The Supernova -- Gamma-Ray Burst Connection
• Gamma-Ray Bursts: Progress, Problems & Prospects
• Discerning the physical origins of cosmological Gamma-ray bursts based on multiple observational criteria: the cases of z=6.7 GRB 080913, z=8.3 GRB 090423, and some short/hard GRBs
• Measured Metallicities at the Sites of Nearby Broad-Lined Type Ic Supernovae and Implications for the SN-GRB Connection
• A Comprehensive Analysis of Fermi Gamma-Ray Burst Data. I. Spectral Components and Their Possible Physical Origins of LAT/GBM GRBs
• Making a Short Gamma-Ray Burst from a Long one: Implications for the Nature of GRB 060614
• Extra-galactic high-energy transients: event rate densities and luminosity functions
• A comprehensive analysis of Swift/XRT data: I. Apparent spectral evolution of GRB X-ray tails
• Star Formation History up to z = 7.4: Implications for Gamma-Ray Bursts and the Cosmic Metallicity Evolution
• The redshift distribution of SWIFT Gamma-Ray Bursts: evidence for evolution
• Low-Luminosity Gamma-Ray Bursts as a Distinct GRB Population:A Firmer Case from Multiple Criteria Constraints
• Gamma-ray Burst Cosmology
• A Survey of Galaxy Kinematics to z ~ 1 in the TKRS/GOODS-N Field. II. Evolution in the Tully-Fisher Relation
• Astrophysics: A burst of new ideas
• The metallicity dependence of the long-duration GRB rate from host galaxy luminosities
• Post-Launch Analysis of Swift's Gamma-Ray Burst Detection Sensitivity
• The Gamma Ray Burst Luminosity Function in the Light of the Swift 2-year Data
• Do long-duration GRBs follow star formation?
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• Evidence of Exponential Decay Emission in the Swift Gamma-ray Bursts
• How common are long Gamma-Ray Bursts in the Local Universe?
• A redshift - observation-time relation for gamma-ray bursts: evidence of a distinct sub-luminous population

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• GRBs luminosity function synthesized from \textit{Swift/BAT}, \textit{Fermi/GBM} and \textit{Konus-Wind} data
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