The Stellar-mass Function of Long Gamma-Ray Burst Host Galaxies

Abstract

Long gamma-ray bursts (GRBs) have been discussed as a potential tool to probe the cosmic star formation rate (SFR) for a long time. Some studies found an enhancement in the GRB rate relative to the galaxy-inferred SFR at high redshifts, which indicates that GRBs may not be good tracers of star formation. However, in these studies, the GRB rate measured at any redshift is an average over all galaxies at that epoch. A deep understanding of the connection between GRB production and environment also needs to characterize the population of GRB host galaxies directly. Based on a complete sample of GRB hosts, we constrain the stellar-mass function (SMF) of GRB hosts, and examine redshift evolution in the GRB host population. Our results confirm that a strong redshift evolution in energy (with an evolution index of $\delta =2.47_{-0.89}^{+0.73}$) or in density ($\delta =1.82_{-0.59}^{+0.22}$) is needed in order to account for the observations. The GRB host SMF can be well described by the Schechter function with a power-law index $\xi \approx -1.10$ and a break mass $M_{b,0}\approx 4.9\times 10^{10}$ ${\mathrm{M}}_{\odot }$, independent of the assumed evolutionary effects. This is the first formulation of the GRB host SMF. The observed discrepancy between the GRB rate and the galaxy-inferred SFR may also be explained by an evolving SMF.

arXiv comment9 pages, 3 figures, 2 tables. Updated to match the published version in ApJ

References in corpus (70)

• emcee: The MCMC Hammer
• Collapsars - Gamma-Ray Bursts and Explosions in "Failed Supernovae"
• The Supernova -- Gamma-Ray Burst Connection
• On the normalisation of the cosmic star formation history
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• Information criteria for astrophysical model selection
• The Progenitor Stars of Gamma-Ray Bursts
• The BATSE Gamma-Ray Burst Spectral Catalog. I. High Time Resolution Spectroscopy of Bright Bursts using High Energy Resolution Data
• A glimpse of the end of the dark ages: the gamma-ray burst of 23 April 2009 at redshift 8.3
• Evolution of rapidly rotating metal-poor massive stars towards gamma-ray bursts
• Single star progenitors of long gamma-ray bursts I: Model grids and redshift dependent GRB rate
• GRB 090423 at a redshift of z~8.1
• A Photometric Redshift of z ~ 9.4 for GRB 090429B
• The Galaxy Mass Function up to z=4 in the GOODS-MUSIC sample: into the epoch of formation of massive galaxies
• The Complete Spectral Catalog of Bright BATSE Gamma-Ray Bursts
• Gamma-Ray Bursts as a Probe of the Very High Redshift Universe
• Gamma-Ray Bursts as a Probe of the Very High Redshift Universe
• On the Association of Gamma-ray Bursts with Massive Stars: Implications for Number Counts and Lensing Statistics
• The luminosity function and the rate of Swift's Gamma Ray Bursts
• Low Luminosity Gamma-Ray Bursts as a Unique Population: Luminosity Function, Local Rate, and Beaming Factor
• The mass evolution of the first galaxies: stellar mass functions and star formation rates at $4<z<7$ in the CANDELS GOODS-South field
• A complete sample of bright Swift Long Gamma-Ray Bursts: Sample presentation, Luminosity Function and evolution
• The Luminosity Function of Fermi-detected Flat-Spectrum Radio Quasars
• Connecting the Gamma Ray Burst Rate and the Cosmic Star Formation History: Implications for Reionization and Galaxy Evolution
• The Fermi-LAT high-latitude Survey: Source Count Distributions and the Origin of the Extragalactic Diffuse Background
• The sub-energetic GRB 031203 as a cosmic analogue to GRB 980425
• On the Collapsar Model of Long Gamma-Ray Bursts: Constraints from Cosmic Metallicity Evolution
• Cosmological Gamma-Ray Bursts and Evolution of Galaxies
• The Evolution of Swift/BAT blazars and the origin of the MeV background
• The Swift GRB Host Galaxy Legacy Survey - II. Rest-Frame NIR Luminosity Distribution and Evidence for a Near-Solar Metallicity Threshold
• A complete sample of bright Swift Long Gamma Ray Bursts: testing the spectral-energy correlations
• Stellar evolution with rotation XIII: Predicted GRB rates at various Z
• Cosmological Aspects of Gamma-Ray Bursts: Luminosity Evolution and an Estimate of the Star Formation Rate at High Redshifts
• Star Formation History up to z = 7.4: Implications for Gamma-Ray Bursts and the Cosmic Metallicity Evolution
• A High-Metallicity Host Environment for the Long-Duration GRB 020819
• SN 2006aj and the nature of low-luminosity gamma-ray bursts
• Are LGRBs biased tracers of star formation? Clues from the host galaxies of the Swift/BAT6 complete sample of LGRBs. I: Stellar mass at z<1
• An Unexpectedly Swift Rise in the Gamma-ray Burst Rate
• The Swift Gamma-Ray Burst Host Galaxy Legacy Survey - I. Sample Selection and Redshift Distribution
• The contribution of star formation and merging to stellar mass buildup in galaxies
• On the Redshift Distribution of Gamma Ray Bursts in the Swift Era
• Super-solar Metal Abundances in Two Galaxies at z ~ 3.57 revealed by the GRB 090323 Afterglow Spectrum
• The Gamma Ray Burst Luminosity Function in the Light of the Swift 2-year Data
• Probing the Cosmic Gamma-Ray Burst Rate with Trigger Simulations of the Swift Burst Alert Telescope
• The rate and luminosity function of long Gamma Ray Bursts
• Gamma-Ray Luminosity Function of Blazars and the Cosmic Gamma-Ray Background: Evidence for the Luminosity Dependent Density Evolution
• Do long-duration GRBs follow star formation?
• Are LGRBs biased tracers of star formation? Clues from the host galaxies of the $Swift$/BAT6 complete sample of bright LGRBs III: Stellar masses, star formation rates and metallicities at $z>1$
• Formation Rate, Evolving Luminosity Function, Jet Structure, and Progenitors for Long Gamma-Ray Bursts
• The long gamma-ray burst rate and the correlation with host galaxy properties
• Gamma-ray burst rate: high-redshift excess and its possible origins
• On the Cosmological Evolution of Long Gamma-ray Burst Properties
• Evidence for Luminosity Evolution of Long Gamma-ray Bursts in Swift Data
• Connecting GRBs and ULIRGs: A Sensitive, Unbiased Survey for Radio Emission from Gamma-Ray Burst Host Galaxies at 0<z<2.5
• The high-redshift star formation rate derived from GRBs: possible origin and cosmic reionization
• Cosmological Tests Using GRBs, the Star Formation Rate and Possible Abundance Evolution
• The low-extinction afterglow in the solar-metallicity host galaxy of gamma-ray burst 110918A
• How common are long Gamma-Ray Bursts in the Local Universe?
• Hierarchical Growth and Cosmic Star Formation: Enrichment, Outflows and Supernova Rates
• Simulations on High-z Long Gamma-Ray Burst Rate
• An Evolving Stellar Initial Mass Function and the Gamma-Ray Burst Redshift Distribution
• The luminosity function of Swift long gamma-ray bursts
• Selection Effects on the Observed Redshift Dependence of GRB Jet Opening Angles
• The Luminosity Function and Formation Rate of A Complete Sample of Long Gamma-Ray Bursts
• Long-Duration Gamma-Ray Burst Host Galaxies in Emission and Absorption
• Revisiting the luminosity and redshift distributions of long gamma-ray bursts
• Is the metallicity of the progenitor of long gamma-ray bursts really low?
• Gamma-ray burst cosmology: Hubble diagram and star formation history
• Cosmological Tests with the FSRQ Gamma-ray Luminosity Function
• Research on the redshift evolution of luminosity function and selection effect of GRBs

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• The redshift evolution of the luminosity function of type II GRBs
• Accessing the Host Galaxies of Long Gamma-Ray Bursts with Next-Generation Telescopes
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