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Gamma-ray bursts reveal hidden star formation driving cosmic reionization

2026-07-09 05:01 UTC pith:IDF4NVXW

load-bearing objection LGRB-inferred SFRD at z=4-10 from 20 years of Swift data; reionization agreement depends on a log-linear fit that is poorly constrained at z>6.5 the 2 major comments →

arxiv 2607.07610 v1 pith:IDF4NVXW submitted 2026-07-08 astro-ph.CO astro-ph.HE

Gamma-ray bursts reveal the history and faint contributors of cosmic reionization

Jing-Meng Hao , Paolo Cassata , Zhen-Ya Zheng , Andrea Grazian , Giulia Rodighiero , Alvio Renzini , Jun-Hui Fan , Andrea Ferrara This is my paper
classification astro-ph.CO astro-ph.HE
keywords gamma-ray burstscosmic reionizationstar formation rate densityhigh-redshift galaxiesluminosity functionfaint galaxiesionizing photon budgetescape fraction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Long gamma-ray bursts (LGRBs) are the death signals of short-lived massive stars, which means their rate should track the rate of star formation. This paper uses two decades of Swift satellite LGRB detections to estimate the cosmic star formation rate density (SFRD) at redshifts 4 to 10. The authors calibrate the relationship between LGRB counts and SFRD at z~4, where the SFRD is well measured, and then use LGRB counts in higher-redshift bins to infer the SFRD at earlier cosmic times. The key finding is that the LGRB-inferred SFRD declines more gently from z~4 to z~10 than the SFRD derived from galaxy surveys that only count galaxies brighter than M_UV = -17. The LGRB-based SFRD is systematically higher than the galaxy-survey SFRD at z>6, which the authors interpret as evidence for a large population of faint, currently undetectable galaxies contributing substantially to early star formation. When fed into the standard equations for hydrogen reionization, this higher SFRD naturally reproduces the observed reionization history — the decline of neutral hydrogen fraction, the ionizing photon emissivity, and the CMB Thomson scattering optical depth — using moderate, observationally motivated values for the ionizing photon production efficiency (xi_ion = 10^25.3 Hz/erg) and escape fraction (f_esc = 0.1), without requiring extreme tuning of either parameter. The authors then work backwards from their LGRB-inferred SFRD to ask how faint the galaxy luminosity function must extend to account for the total star formation, finding that the faint-end limiting magnitude evolves from M_lim ~ -14 to -15 at z~6 to M_lim ~ -10 to -11 at z~10, implying that faint galaxies account for more than 50% of total star formation at z>8.

Core claim

The central object is the LGRB-inferred cosmic star formation rate density at 4<z<10, derived by treating LGRBs as unbiased tracers of total star formation and calibrating their rate against known SFRD at z~4. This SFRD is higher than galaxy-survey estimates at z>6, and when used as input to the reionization equations with moderate fiducial parameters (xi_ion = 10^25.3 Hz erg^-1, f_esc = 0.1), it reproduces the full observed reionization history — neutral fraction evolution, ionizing emissivity, and CMB optical depth tau_e = 0.0544 ± 0.0073 — without requiring extreme ionizing efficiencies or escape fractions. The discrepancy between the LGRB-inferred SFRD and the galaxy-survey SFRD quantit3

What carries the argument

The ratio N_LGRB(z1,z2) / N_LGRB(3.5,4.5) scaled by the well-calibrated SFRD at z~4 and corrected for comoving volume and time dilation, yielding the SFRD at higher redshifts without requiring detailed modeling of the LGRB luminosity function. This SFRD then feeds the standard ionization equation dQ_HII/dt = n_ion/<n_H> - Q_HII/t_rec, where n_ion = f_esc * xi_ion * rho_UV and rho_UV is derived from the SFRD via the UV-to-SFR conversion K_UV.

Load-bearing premise

The entire argument rests on the assumption that LGRBs are unbiased tracers of total star formation at z>3, meaning the ratio of LGRB rate to SFRD is constant across redshift. If LGRB production efficiency evolves with redshift — for example because of changing metallicity distributions, jet opening angles, or progenitor physics — the calibration constant would not be redshift-independent and the inferred SFRD at z>6 would be systematically biased. With only 2-5 LGRBs per bin

What would settle it

If a future, larger LGRB sample at z>6 yields SFRD estimates that diverge from the reionization-consistent values derived here, or if LGRB host galaxy studies reveal that LGRB production efficiency evolves with redshift due to metallicity or progenitor physics, the calibration constant A would be redshift-dependent and the inferred high-z SFRD would be biased.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If faint galaxies below current detection limits contribute more than 50% of star formation at z>8, then current galaxy-survey-based SFRD measurements at high redshift are systematically underestimating the true cosmic star formation budget by a factor of two or more.
  • The moderate fiducial parameters (xi_ion = 10^25.3, f_esc = 0.1) that successfully reproduce reionization remove the need for exotic stellar populations or extreme feedback-free escape channels, constraining the allowed parameter space for reionization models.
  • Future GRB missions (THESEUS, Einstein Probe, SVOM) will substantially increase the high-redshift LGRB sample, tightening the SFRD constraints and testing whether LGRBs remain unbiased tracers of star formation at z>6.
  • The evolving faint-end limiting magnitude (M_lim shifting from ~-14 at z~6 to ~-10 at z~10) makes a specific, testable prediction for the depth of galaxy luminosity functions that future deep JWST lensing surveys can directly verify.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If LGRB host galaxy luminosity functions at z>6 are measured and compared to the UV luminosity functions from galaxy surveys, the ratio of star formation in detected vs. undetected hosts would provide an independent cross-check of the faint-galaxy fraction inferred here.
  • The claim that star formation in low-mass halos is increasingly suppressed at lower redshifts by UV background feedback could be tested by comparing the LGRB-inferred SFRD evolution with simulations that vary the strength of reionization feedback on small halos.
  • If future LGRB samples at z>8 show the same SFRD as inferred here but with reduced Poisson errors, the consistency of the reionization prediction would either solidify or reveal systematic deviations in the LGRB-to-SFRD calibration that are currently hidden by small-number statistics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 6 minor

Summary. This Letter uses Swift LGRBs detected over ~20 years to estimate the cosmic SFRD at 4<z<10, treating LGRBs as unbiased tracers of star formation at z≳3. The SFRD is calibrated at z~4 against galaxy survey measurements and scaled to higher redshifts via observed LGRB counts. The resulting SFRD, parameterized as a log-linear decline (k=-0.15±0.02), is then used to compute the hydrogen reionization history (Q_HII, ionizing emissivity, CMB optical depth τ_e) with fiducial ξ_ion=10^25.3 Hz erg^-1 and f_esc=0.1. The authors find consistency with Planck τ_e and neutral fraction constraints, and further use the LGRB-inferred SFRD to constrain the faint-end limiting magnitudes of galaxy UV luminosity functions, finding M_lim evolving from ~-14 at z~6 to ~-10 at z~10.

Significance. The approach of using LGRBs as tracers of total star formation—including faint galaxies below direct detection limits—is a well-motivated independent probe of the high-redshift SFRD. The calibration method (Eq. 1) is clean and the reionization physics (Eqs. 4-8) is standard. The paper provides falsifiable predictions: specific τ_e and Q_HII histories tied to moderate ξ_ion and f_esc, and concrete M_lim values as a function of redshift. The use of the latest JWST constraints on ξ_ion (Begley et al. 2025; Pahl et al. 2025) grounds the reionization calculation in current data. The systematic compilation of 76 LGRBs at z≥3.5 (Table 1) is a useful community resource. However, the central quantitative claim—that the LGRB-inferred SFRD 'naturally' explains reionization—rests on a log-linear fit that is poorly constrained by the data at z>6.5, where individual bins contain 1-3 LGRBs.

major comments (2)
  1. §3, Eqs. (4)-(8): The reionization calculations use the log-linear fit (k=-0.15±0.02), not the individual binned SFRD measurements. This fit is driven by the z=4-6 bins where statistics are adequate (~15-20 events per bin), but at z>6.5 the bins contain 1-3 LGRBs each (z=6.5-7.5: 2 events; z=7.5-8.5: 3; z=8.5-10: 1). The Poisson errors (~0.3-0.5 dex) are consistent with substantially steeper decline rates (k~-0.3) that would reduce the z>8 SFRD by ~0.6 dex and likely break the reionization agreement with moderate ξ_ion and f_esc. The paper should explicitly quantify how sensitive the reionization predictions (τ_e, Q_HII midpoint) are to the fit slope k, e.g., by showing results for k=-0.25 or k=-0.30 within the Poisson-allowed range. Without this, the claim that the SFRD 'naturally' explains reionization is a consistency check of the fit rather than of the data at z>6.5.
  2. §2, Figure 2: The z=7.5-8.5 bin shows log SFRD=-1.43, which is higher (more star formation) than the z=6.5-7.5 bin at -1.77. This unphysical uptick is within Poisson errors but illustrates that the high-z data cannot constrain the SFRD shape. The log-linear fit smooths over this, but the fit's goodness-of-fit at z>6.5 is not reported. Please provide a quantitative fit-quality metric (e.g., χ² or equivalent) for the log-linear model restricted to z>6.5, or acknowledge more explicitly that the fit is an extrapolation from lower redshifts rather than a data-driven result at z>6.5. This is load-bearing because the reionization predictions depend entirely on the fit, not the binned data.
minor comments (6)
  1. §2: The statement 'our inferred SFRD values should be considered as conservative estimates' because 'any excess detections of LGRBs at z>6 only lead to even higher star formation rates' is not self-evidently true—if the calibration constant A evolves with redshift due to metallicity or progenitor physics, the bias could go in either direction. A brief clarification would help.
  2. §2, Eq. (2): The k-correction formula k(z)=[(1+z)/(1+2)]^(Γ-2) appears to use a fixed rest-frame energy band reference (2 keV?) without explicit definition. Please clarify the meaning of the constant '2' in this expression.
  3. Figure 1: The luminosity threshold L_lim(z) is described as approximate. It would help to state explicitly how the luminosity cuts applied to each redshift bin (described in the text) relate to this threshold, perhaps by marking the cut values on the figure.
  4. §3: The choice of η=1 for z>4 and η=2 for z≤4 for helium ionization is a simplification. Given that the paper claims precision agreement with τ_e, a brief note on the sensitivity of τ_e to this prescription would be appropriate.
  5. §4, Eq. (12): The dust attenuation relation uses the IRX-β formalism from Meurer et al. (1999). At z>8 where the β-M_UV relation is extrapolated, the dust correction may be uncertain. A brief note on how this affects the derived M_lim values would strengthen the discussion.
  6. Table 1: The redshift of GRB090423 is listed as 8.23, while in the text it is sometimes referenced as z~8.2. Please verify consistency of all quoted redshift values between Table 1 and the bin assignments.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for a careful and constructive review. Both major comments are well-taken and address a genuine limitation of the current manuscript: the high-redshift LGRB statistics are sparse, and the reionization predictions rely on the log-linear fit rather than the individual binned measurements. We agree that quantifying the sensitivity of our reionization predictions to the fit slope, and providing an explicit goodness-of-fit metric at z>6.5, are necessary additions. We address each comment below.

read point-by-point responses

  1. Referee: §3, Eqs. (4)-(8): The reionization calculations use the log-linear fit (k=-0.15±0.02), not the individual binned SFRD measurements. This fit is driven by the z=4-6 bins where statistics are adequate (~15-20 events per bin), but at z>6.5 the bins contain 1-3 LGRBs each. The Poisson errors (~0.3-0.5 dex) are consistent with substantially steeper decline rates (k~-0.3) that would reduce the z>8 SFRD by ~0.6 dex and likely break the reionization agreement with moderate ξ_ion and f_esc. The paper should explicitly quantify how sensitive the reionization predictions (τ_e, Q_HII midpoint) are to the fit slope k, e.g., by showing results for k=-0.25 or k=-0.30 within the Poisson-allowed range. Without this, the claim that the SFRD 'naturally' explains reionization is a consistency check of the fit rather than of the data at z>6.5.

    Authors: The referee is correct that the reionization predictions depend on the log-linear fit and that the high-redshift bins (z>6.5) contain too few LGRBs to independently constrain the slope. We accept this point and will add the requested sensitivity analysis in the revised manuscript. Specifically, we will recompute τ_e and the Q_HII history for k = -0.20, -0.25, and -0.30, holding the normalization at z~4 fixed (log ρ̇⋆(z~4) = -1.10) and keeping the fiducial ξ_ion = 10^{25.3} Hz erg^{-1} and f_esc = 0.1. We will present these as additional curves in Figures 3 and 4, and will state quantitatively how the reionization midpoint and τ_e shift. We expect that steeper slopes will reduce τ_e and delay the reionization midpoint, and we will report honestly whether k = -0.25 or k = -0.30 remains consistent with Planck τ_e and the neutral fraction constraints within their respective uncertainties. We will also revise the language in the abstract and Section 3 to qualify the word 'naturally' — making clear that the agreement with reionization observables holds for the best-fit slope and that steeper slopes within the Poisson-allowed range at z>6.5 would degrade this agreement, so the conclusion is contingent on the SFRD decline being genuinely shallow as suggested by (but not uniquely determined by) the current LGRB data. revision: yes

  2. Referee: §2, Figure 2: The z=7.5-8.5 bin shows log SFRD=-1.43, which is higher than the z=6.5-7.5 bin at -1.77. This unphysical uptick is within Poisson errors but illustrates that the high-z data cannot constrain the SFRD shape. The log-linear fit smooths over this, but the fit's goodness-of-fit at z>6.5 is not reported. Please provide a quantitative fit-quality metric (e.g., χ² or equivalent) for the log-linear model restricted to z>6.5, or acknowledge more explicitly that the fit is an extrapolation from lower redshifts rather than a data-driven result at z>6.5.

    Authors: We agree. The uptick in the z=7.5-8.5 bin is a direct consequence of having only 3 LGRBs in that bin, and it does illustrate that the binned data at z>6.5 cannot meaningfully constrain the SFRD shape. In the revised manuscript, we will (1) add a quantitative goodness-of-fit metric for the log-linear model computed over all bins and separately for the z>6.5 bins, and (2) add explicit language stating that the log-linear fit at z>6.5 should be regarded as an extrapolation anchored by the better-sampled z~4-6 data, not a data-driven result at those redshifts. We will also note that the Poisson errors on the z>6.5 bins are large enough (~0.3-0.5 dex) that the binned data are statistically consistent with the fit, but also with substantially different slopes, which connects directly to the sensitivity analysis we will add in response to the first major comment. revision: yes

Circularity Check

0 steps flagged

No significant circularity; one load-bearing self-citation for the unbiased-tracer assumption, supported by external evidence

full rationale

The paper's derivation chain is largely self-contained against external data. The SFRD calibration (Eq. 1) uses external galaxy-survey SFRD measurements at z~4 (not the authors' own result) and independent LGRB counts at higher redshifts. The reionization calculation (Eqs. 4-8) uses the LGRB-inferred SFRD combined with ξ_ion and f_esc values drawn from independent JWST studies (Begley et al. 2025; Simmonds et al. 2024; Cullen et al. 2024), and standard physics equations. The τ_e prediction is compared against the external Planck measurement, not fitted to it. The faint-galaxy magnitude limits (§4) are derived by comparing the LGRB-inferred SFRD against independently fitted UV luminosity functions (Bouwens et al. 2021; Harikane et al. 2022; Donnan et al. 2023). The one load-bearing self-citation is Hao et al. 2020 for the claim that LGRBs are unbiased tracers of SFRD at z≳3 (Section 1), which underpins the redshift-independence of calibration constant A. However, this claim is also supported by external citations (Greiner et al. 2015; Sears et al. 2024) comparing LGRB host galaxy luminosity functions to Lyman break galaxies, and the assumption is explicitly stated and discussed rather than hidden. The log-linear fit (k=-0.15) used in the reionization calculation is a parameterization of the authors' own SFRD data points, not a fit to reionization observables, so using it in §3 is not circular. No step reduces to its inputs by construction.

Axiom & Free-Parameter Ledger

4 free parameters · 5 axioms · 0 invented entities
free parameters (4)
  • A = calibrated to z=3.5-4.5 SFRD and LGRB counts
    Normalization constant relating LGRB rate to SFRD, calibrated using observed SFRD at z~4 and LGRB counts in the same bin (Eq. 1).
  • k = -0.15±0.02
    Evolutionary parameter in the log-linear SFRD fit at z≥4, fitted to the LGRB-inferred SFRD points.
  • ξ_ion = 10^25.3 Hz erg^-1
    Ionizing photon production efficiency, adopted from JWST literature (Simmonds et al. 2024; Begley et al. 2025). Not fitted by the authors but a chosen fiducial value.
  • f_esc = 0.1
    Escape fraction of ionizing photons, adopted as a moderate fiducial value based on literature range 0.015-0.19.
axioms (5)
  • domain assumption LGRBs are unbiased tracers of total star formation at z≳3
    Invoked in Section 1 and used throughout. Based on Hao et al. 2020 (self-cited) and Greiner et al. 2015, Sears et al. 2024. If false, the entire SFRD estimation is invalid.
  • standard math Standard ΛCDM cosmology with Planck 2020 parameters
    Used for distance calculations, comoving volumes, and reionization physics throughout.
  • domain assumption Salpeter IMF for SFR-UV luminosity conversion
    K_UV=1.15×10^-28 (Eq. 7) assumes Salpeter IMF. A different IMF would shift the SFRD calibration.
  • standard math Standard case B recombination at T=10^4 K
    Used in Eq. 5 for recombination time. Standard assumption in reionization calculations.
  • domain assumption Clumping factor C_HII = 2.9[(1+z)/6]^-1.1
    From Shull et al. 2012 simulations (Eq. 6). Affects recombination rate and thus reionization timeline.

pith-pipeline@v1.1.0-glm · 25013 in / 4491 out tokens · 275700 ms · 2026-07-09T05:01:12.772392+00:00 · methodology

0 comments
read the original abstract

Star-forming galaxies are generally believed to be the main drivers of cosmic reionization. However, the relative contributions of bright and faint galaxies to this process remain unclear. As the most luminous transient phenomena in the universe, long gamma-ray bursts (LGRBs) provide a unique opportunity to probe star formation occurring in both detectable and undetectable galaxies. In this Letter, we present new estimates of the cosmic star formation rate density (SFRD) at $4<z<10$ using Swift LGRBs detected over the past two decades, by considering LGRBs as unbiased tracers of total star formation at high redshifts. Crucially, we find that the new LGRB-inferred SFRD can naturally explain current measurements of hydrogen reionization without invoking extreme ionizing photon production efficiencies or escape fractions from galaxies. Using these LGRB-inferred SFRD values, we further investigate the faintest magnitude limits of high-redshift galaxies, finding a redshift evolution of the limiting magnitudes from $M_{\mathrm{lim}}\sim-14$ to $-15$ at $z\sim6$ to $M_{\mathrm{lim}}\sim-10$ to $-11$ at $z\sim10$. This result provides one independent piece of evidence for the presence of a large population of faint galaxies at redshifts $z\gtrsim6$, as an important complement to our understanding of the ionizing photon budget in the early universe.

Figures

Figures reproduced from arXiv: 2607.07610 by Alvio Renzini, Andrea Ferrara, Andrea Grazian, Giulia Rodighiero, Jing-Meng Hao, Jun-Hui Fan, Paolo Cassata, Zhen-Ya Zheng.

Figure 1
Figure 1. Figure 1: The luminosity-redshift distribution of Swift LGRBs. The gray shaded region represents an approximate luminosity threshold for detection. The purple circles are the 39 LGRBs at 3.5 ⩽ z < 4.5 used as our benchmark. The 36 bursts at z ⩾ 4.5 are separated into different redshift bins (orange shaded bands) used to estimate the high-redshift SFRD [PITH_FULL_IMAGE:figures/full_fig_p011_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Cosmic star formation history. The blue stars represent our estimates from Swift LGRBs, with the blue solid line showing the log-linear fit to these points (k = −0.15). The orange shaded region shows the result of integrating the Schechter LFs of R. J. Bouwens et al. (2021) adopting the limits from Mlim = −17 to −10, while the purple shaded region shows that from the DPL fits (Y. Harikane et al. 2022; C. T… view at source ↗
Figure 3
Figure 3. Figure 3: Hydrogen reionization history. Left panel: The predictions of the timeline of the neutral hydrogen fraction xHI, compared with observational constraints derived from galaxies and quasars (A. Konno et al. 2014; I. D. McGreer et al. 2015; B. Greig et al. 2017, 2019; E. Ba˜nados et al. 2018; F. B. Davies et al. 2018; A. K. Inoue et al. 2018; C. A. Mason et al. 2018, 2019; M. Ouchi et al. 2018; A. Hoag et al. … view at source ↗
Figure 4
Figure 4. Figure 4: Predictions of the Thomson scattering optical depth. The gray line and region represent the measurement provided by Planck, i.e. τe = 0.0544 ± 0.0073. The red solid, blue dashed, and green dot-dashed lines correspond to the results shown in [PITH_FULL_IMAGE:figures/full_fig_p013_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Evolution of the observable fraction of star formation, fobs(z) = ˙ρ obs ⋆ (z)/ρ˙ tot ⋆ (z), where ˙ρ obs ⋆ (z) and ˙ρ tot ⋆ (z) represent the SFRDs in observable galaxies with MUV ⩽ −17 and all galaxies, respectively. Shown are the results integrated from the two LF models (Schechter as the orange line, and DPL as the purple line) [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗

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Reference graph

Works this paper leans on

300 extracted references · 300 canonical work pages · 205 internal anchors

  1. [1]

    2001 , volume =

    The Forbidden Abundance of Oxygen in the Sun , journal =. 2001 , volume =. doi:10.1086/322874 , eprint =

    work page doi:10.1086/322874 2001

  2. [2]

    I - Spectral diversity , journal =

    BATSE observations of gamma-ray burst spectra. I - Spectral diversity , journal =. 1993 , volume =. doi:10.1086/172995 , keywords =

    work page doi:10.1086/172995 1993

  3. [3]

    Morphology and surface brightness profiles

    Detecting reionization in the star formation histories of high-redshift galaxies , journal =. 2006 , volume =. doi:10.1111/j.1365-2966.2006.10674.x , eprint =

    work page doi:10.1111/j.1365-2966.2006.10674.x 2006

  4. [4]

    The Average Star Formation Histories of Galaxies in Dark Matter Halos from z=0-8

    The Average Star Formation Histories of Galaxies in Dark Matter Halos from z = 0-8 , journal =. 2013 , volume =. arXiv , doi =:1207.6105 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  5. [5]

    The metallicity and star formation activity of long gamma-ray burst hosts for z$<$3: insights from the Illustris simulation

    The metallicity and star formation activity of long gamma-ray burst hosts for z 3: insights from the Illustris simulation , journal =. 2017 , volume =. arXiv , doi =:1706.03772 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  6. [6]

    2001 , volume =

    The Prompt Energy Release of Gamma-Ray Bursts using a Cosmological k-Correction , journal =. 2001 , volume =. doi:10.1086/321093 , eprint =

    work page doi:10.1086/321093 2001

  7. [7]

    , keywords =

    The observed ionization rate of the intergalactic medium and the ionizing emissivity at z. , year =. doi:10.1111/j.1365-2966.2007.12372.x , eprint =

    work page doi:10.1111/j.1365-2966.2007.12372.x 2007

  8. [8]

    Resolving Cosmic Structure Formation with the Millennium-II Simulation

    Resolving cosmic structure formation with the Millennium-II Simulation , journal =. 2009 , volume =. arXiv , doi =:0903.3041 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  9. [9]

    2002 , volume =

    The Expected Redshift Distribution of Gamma-Ray Bursts , journal =. 2002 , volume =. doi:10.1086/341189 , eprint =

    work page doi:10.1086/341189 2002

  10. [10]

    The Cosmic Rate, Luminosity Function and Intrinsic Correlations of Long GRBs

    The Cosmic Rate, Luminosity Function, and Intrinsic Correlations of Long Gamma-Ray Bursts , journal =. 2010 , volume =. arXiv , doi =:0910.3341 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  11. [11]

    A Complete Catalog of Swift GRB Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations

    A Complete Catalog of Swift Gamma-Ray Burst Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations , journal =. 2007 , volume =. arXiv , doi =:0706.1275 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  12. [12]

    Redshift distribution and luminosity function of long gamma-ray bursts from cosmological simulations

    Redshift distribution and luminosity function of long gamma-ray bursts from cosmological simulations , journal =. 2010 , volume =. arXiv , doi =:1005.3700 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  13. [13]

    How common are long Gamma-Ray Bursts in the Local Universe?

    , title =. 2007 , month = nov, pages =. arXiv , doi =:0708.2106 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  14. [14]

    , keywords =

    Updating reionization scenarios after recent data , journal =. 2006 , volume =. doi:10.1111/j.1745-3933.2006.00207.x , eprint =

    work page doi:10.1111/j.1745-3933.2006.00207.x 2006

  15. [15]

    2001 , volume =

    The 2dF galaxy redshift survey: near-infrared galaxy luminosity functions , journal =. 2001 , volume =. doi:10.1046/j.1365-8711.2001.04591.x , eprint =

    work page doi:10.1046/j.1365-8711.2001.04591.x 2001

  16. [16]

    1997 , volume =

    A Stochastic Approach to Chemical Evolution , journal =. 1997 , volume =. doi:10.1086/304627 , eprint =

    work page doi:10.1086/304627 1997

  17. [17]

    Monthly Notices of the Royal Astronomical Society , eprint =

    The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies , journal =. 2006 , volume =. doi:10.1111/j.1365-2966.2005.09675.x , eprint =

    work page doi:10.1111/j.1365-2966.2005.09675.x 2006

  18. [18]

    Unveiling the Secrets of Metallicity and Massive Star Formation Using DLAs along Gamma-ray Bursts

    Unveiling the Secrets of Metallicity and Massive Star Formation Using DLAs along Gamma-Ray Bursts , journal =. 2015 , volume =. arXiv , doi =:1408.3578 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  19. [19]

    A Photometric Redshift of z ~ 9.4 for GRB 090429B

    A Photometric Redshift of z \. , year =. arXiv , doi =:1105.4915 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  20. [20]

    2006 , volume =

    Hierarchical Growth and Cosmic Star Formation: Enrichment, Outflows, and Supernova Rates , journal =. 2006 , volume =. doi:10.1086/503092 , eprint =

    work page doi:10.1086/503092 2006

  21. [21]

    Morphology and surface brightness profiles

    The redshift distribution of Swift gamma-ray bursts: evidence for evolution , journal =. 2006 , volume =. doi:10.1111/j.1365-2966.2006.10837.x , eprint =

    work page doi:10.1111/j.1365-2966.2006.10837.x 2006

  22. [22]

    Morphology and surface brightness profiles

    The hierarchical formation of the brightest cluster galaxies , journal =. 2007 , volume =. doi:10.1111/j.1365-2966.2006.11287.x , eprint =

    work page doi:10.1111/j.1365-2966.2006.11287.x 2007

  23. [23]

    Cosmic Evolution of Long Gamma-Ray Burst Luminosity

    , title =. 2016 , month = mar, pages =. arXiv , doi =:1601.07645 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  24. [24]

    The contribution of star formation and merging to stellar mass buildup in galaxies

    The Contribution of Star Formation and Merging to Stellar Mass Buildup in Galaxies , journal =. 2008 , volume =. arXiv , doi =:0803.1489 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  25. [25]

    The long gamma-ray burst rate and the correlation with host galaxy properties

    The long. , year =. arXiv , doi =:1202.1225 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  26. [26]

    The First Billion Years project: gamma-ray bursts at z>5

    , title =. 2015 , month = feb, pages =. arXiv , doi =:1408.2526 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  27. [27]

    IPAW 2020 Preprint: Efficient Computation of Provenance for Query Result Exploration

    Observational Constraints on Cosmic Reionization , journal =. 2006 , volume =. doi:10.1146/annurev.astro.44.051905.092514 , eprint =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1146/annurev.astro.44.051905.092514 2006

  28. [28]

    The ultra-long Gamma-Ray Burst 111209A: the collapse of a blue supergiant?

    , title =. 2013 , month = mar, pages =. arXiv , doi =:1212.2392 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  29. [29]

    The Relative Rate of LGRB Formation as a Function of Metallicity

    The Relative Rate of LGRB Formation as a Function of Metallicity , journal =. 2017 , volume =. arXiv , doi =:1511.01079 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  30. [30]

    The Metal Aversion of LGRBs

    , title =. 2013 , month = sep, pages =. arXiv , doi =:1211.7068 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  31. [31]

    Unusually High Metallicity Host Of The Dark LGRB 051022

    Unusually High Metallicity Host Of The Dark LGRB 051022 , booktitle =. 2009 , editor =. arXiv , doi =:0903.5544 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  32. [32]

    Gamma-Ray Bursts Trace UV Metrics of Star Formation over 3 < z < 5

    Gamma-Ray Bursts Trace UV Metrics of Star Formation over 3 z 5 , journal =. 2015 , volume =. arXiv , doi =:1503.05323 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  33. [33]

    The nature of "dark" gamma-ray bursts

    The nature of ``dark'' gamma-ray bursts , journal =. 2011 , volume =. arXiv , doi =:1011.0618 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  34. [34]

    Revisiting the Relationship between the Long GRB Rate and Cosmic Star Formation History Based on a Large Swift Sample

    Revisiting the Relationship between the Long GRB Rate and Cosmic Star Formation History Based on a Large Swift Sample , journal =. 2020 , volume =. arXiv , doi =:2005.07630 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2020

  35. [35]

    Is the metallicity of the progenitor of long gamma-ray bursts really low?

    Is the Metallicity of the Progenitor of Long Gamma-Ray Bursts Really Low? , journal =. 2013 , volume =. arXiv , doi =:1305.5165 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  36. [36]

    The optically unbiased GRB host (TOUGH) survey. I. Survey design and catalogs

    , title =. 2012 , month = sep, pages =. arXiv , doi =:1205.3162 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  37. [37]

    , year =

    A very energetic supernova associated with the. , year =. doi:10.1038/nature01750 , eprint =

    work page doi:10.1038/nature01750

  38. [38]

    Constraining the rate and luminosity function of Swift gamma-ray bursts

    Constraining the rate and luminosity function of Swift gamma-ray bursts , journal =. 2014 , volume =. arXiv , doi =:1407.2333 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  39. [39]

    New light on gamma-ray burst host galaxies with Herschel

    New light on gamma-ray burst host galaxies with Herschel , journal =. 2014 , volume =. arXiv , doi =:1402.4006 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  40. [40]

    , keywords =

    Self-regulated reionization , journal =. 2007 , volume =. doi:10.1111/j.1365-2966.2007.11482.x , eprint =

    work page doi:10.1111/j.1365-2966.2007.11482.x 2007

  41. [41]

    , keywords =

    Formation rates of core-collapse supernovae and gamma-ray bursts , journal =. 2004 , volume =. doi:10.1111/j.1365-2966.2004.07436.x , eprint =

    work page doi:10.1111/j.1365-2966.2004.07436.x 2004

  42. [42]

    Are long gamma-ray bursts biased tracers of star formation? Clues from the host galaxies of the Swift/BAT6 complete sample of bright LGRBs. II. Star formation rates and metallicities at z 1 , journal =. 2016 , volume =. arXiv , doi =:1604.01034 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  43. [43]

    2005 , editor =

    Metallicity of Star-Forming Galaxies , booktitle =. 2005 , editor =

    work page 2005

  44. [44]

    The Star Formation Rate in the Reionization Era as Indicated by Gamma-ray Bursts

    The Star Formation Rate in the Reionization Era as Indicated by Gamma-Ray Bursts , journal =. 2009 , volume =. arXiv , doi =:0906.0590 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  45. [45]

    An Unexpectedly Swift Rise in the Gamma-ray Burst Rate

    An Unexpectedly Swift Rise in the Gamma-Ray Burst Rate , journal =. 2008 , volume =. arXiv , doi =:0709.0381 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  46. [46]

    2004 , volume =

    Metallicities of 0.3 z 1.0 Galaxies in the GOODS-North Field , journal =. 2004 , volume =. doi:10.1086/425299 , eprint =

    work page doi:10.1086/425299 2004

  47. [47]

    Modeling The GRB Host Galaxy Mass Distribution: Are GRBs Unbiased Tracers of Star Formation?

    Modeling the GRB Host Galaxy Mass Distribution: Are GRBs Unbiased Tracers of Star Formation? , journal =. 2009 , volume =. arXiv , doi =:0905.1953 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  48. [48]

    Far-infrared observations of an unbiased sample of gamma-ray burst host galaxies

    Far-infrared observations of an unbiased sample of gamma-ray burst host galaxies , journal =. 2015 , volume =. arXiv , doi =:1501.01004 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  49. [49]

    Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation

    Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation , journal =. 2011 , volume =. arXiv , doi =:1001.4538 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  50. [50]

    1993 , volume =

    Identification of two classes of gamma-ray bursts , journal =. 1993 , volume =. doi:10.1086/186969 , keywords =

    work page doi:10.1086/186969 1993

  51. [51]

    The SEDs and Host Galaxies of the dustiest GRB afterglows

    The SEDs and host galaxies of the dustiest GRB afterglows , journal =. 2011 , volume =. arXiv , doi =:1108.0674 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  52. [52]

    GRB hosts through cosmic time - VLT/X-Shooter emission-line spectroscopy of 96 GRB-selected galaxies at 0.1 < z < 3.6

    GRB hosts through cosmic time. VLT/X-Shooter emission-line spectroscopy of 96. , year =. arXiv , doi =:1505.06743 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  53. [53]

    2006 , volume =

    On the Collapsar Model of Long Gamma-Ray Bursts:Constraints from Cosmic Metallicity Evolution , journal =. 2006 , volume =. doi:10.1086/500363 , eprint =

    work page doi:10.1086/500363 2006

  54. [54]

    A Turnover in the Galaxy Main Sequence of Star Formation at $M_{*} \sim 10^{10} M_{\odot}$ for Redshifts $z < 1.3$

    A Turnover in the Galaxy Main Sequence of Star Formation at M _. , year =. arXiv , doi =:1501.01080 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  55. [55]

    The Stellar Ages and Masses of Short GRB Host Galaxies: Investigating the Progenitor Delay Time Distribution and the Role of Mass and Star Formation in the Short GRB Rate

    The Stellar Ages and Masses of Short Gamma-ray Burst Host Galaxies: Investigating the Progenitor Delay Time Distribution and the Role of Mass and Star Formation in the Short Gamma-ray Burst Rate , journal =. 2010 , volume =. arXiv , doi =:1009.1147 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  56. [56]

    A new population of ultra-long duration gamma-ray bursts

    , title =. 2014 , month = jan, pages =. arXiv , doi =:1302.2352 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  57. [57]

    The Host Galaxies of Long-Duration Gamma-Ray Bursts

    The Host Galaxies of Long-Duration Gamma-Ray Bursts , journal =. 2014 , volume =. arXiv , doi =:1302.4741 , primaryclass =

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  58. [58]

    The Host Galaxies of Gamma-ray Bursts. II. A Mass-metallicity Relation for Long-duration Gamma-ray Burst Host Galaxies , journal =. 2010 , volume =. arXiv , doi =:1006.3560 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  59. [59]

    A High-Metallicity Host Environment for the Long-Duration GRB 020819

    A High-metallicity Host Environment for the Long-duration GRB 020819 , journal =. 2010 , volume =. arXiv , doi =:1001.0970 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  60. [60]

    No Correlation Between Host Galaxy Metallicity and Gamma-Ray Energy Release for Long-Duration Gamma-Ray Bursts

    No Correlation Between Host Galaxy Metallicity and Gamma-ray Energy Release for Long-duration Gamma-ray Bursts , journal =. 2010 , volume =. arXiv , doi =:1007.0439 , file =

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  61. [61]

    2007 , month = jun, pages =

    , title =. 2007 , month = jun, pages =. doi:10.1086/517959 , eprint =

    work page doi:10.1086/517959 2007

  62. [62]

    The Third Swift Burst Alert Telescope Gamma-Ray Burst Catalog

    , title =. 2016 , month = sep, pages =. arXiv , doi =:1606.01956 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  63. [63]

    Probing the Cosmic Gamma-Ray Burst Rate with Trigger Simulations of the Swift Burst Alert Telescope

    , title =. 2014 , month = mar, pages =. arXiv , doi =:1311.4567 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  64. [64]

    Star Formation History up to z = 7.4: Implications for Gamma-Ray Bursts and the Cosmic Metallicity Evolution

    Star formation history up to z = 7.4: implications for gamma-ray bursts and cosmic metallicity evolution , journal =. 2008 , volume =. arXiv , doi =:0710.3587 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  65. [65]

    Selection Effects on the Observed Redshift Dependence of GRB Jet Opening Angles

    , title =. 2012 , month = feb, pages =. arXiv , doi =:1110.4943 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  66. [66]

    The host galaxies and explosion sites of long-duration gamma ray bursts: Hubble Space Telescope near-infrared imaging

    The host galaxies and explosion sites of long-duration gamma ray bursts: Hubble Space Telescope near-infrared imaging , journal =. 2017 , volume =. arXiv , doi =:1701.05925 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  67. [67]

    Collapsars - Gamma-Ray Bursts and Explosions in "Failed Supernovae"

    Collapsars: Gamma-Ray Bursts and Explosions in ``Failed Supernovae'' , journal =. 1999 , volume =. doi:10.1086/307790 , eprint =

    work page internal anchor Pith review doi:10.1086/307790 1999

  68. [68]

    2014 , volume =

    Cosmic Star-Formation History , journal =. 2014 , volume =

    work page 2014

  69. [69]

    Radiation Backgrounds at Cosmic Dawn: X-Rays from Compact Binaries

    Radiation Backgrounds at Cosmic Dawn: X-Rays from Compact Binaries , journal =. 2017 , volume =. arXiv , doi =:1606.07887 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  70. [70]

    The Optically Unbiased GRB Host (TOUGH) Survey. VI. Radio Observations at z. , year =. arXiv , doi =:1205.4239 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  71. [71]

    2008 , volume =

    Measured Metallicities at the Sites of Nearby Broad-Lined Type Ic Supernovae and Implications for the Supernovae Gamma-Ray Burst Connection , journal =. 2008 , volume =. doi:10.1088/0004-6256/135/4/1136 , eprint =

    work page doi:10.1088/0004-6256/135/4/1136 2008

  72. [72]

    Constraining the Minimum Mass of High-Redshift Galaxies and Their Contribution to the Ionization State of the IGM

    Constraining the Minimum Mass of High-redshift Galaxies and their Contribution to the Ionization State of the Intergalactic Medium , journal =. 2011 , volume =. arXiv , doi =:1010.2260 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  73. [73]

    1992 , volume =

    Gamma-ray bursts as the death throes of massive binary stars , journal =. 1992 , volume =. doi:10.1086/186493 , eprint =

    work page doi:10.1086/186493 1992

  74. [74]

    Spectral properties of 438 GRBs detected by Fermi/GBM

    , title =. 2011 , month = jun, pages =. arXiv , doi =:1012.2863 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  75. [75]

    Revisiting Metallicity of Long Duration Gamma-Ray Burst Host Galaxies: The Role of Chemical Inhomogeneity within Galaxies

    Revisiting the metallicity of long-duration gamma-ray burst host galaxies: the role of chemical inhomogeneity within galaxies , journal =. 2011 , volume =. arXiv , doi =:1103.1293 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  76. [76]

    2017 , volume =

    The VLA-COSMOS 3 GHz Large Project: Cosmic star formation history since z 5 , journal =. 2017 , volume =. doi:10.1051/0004-6361/201629436 , keywords =

    work page doi:10.1051/0004-6361/201629436 2017

  77. [77]

    Expanded Search for z~10 Galaxies from HUDF09, ERS, and CANDELS Data: Evidence for Accelerated Evolution at z>8?

    Expanded Search for z \. , year =. arXiv , doi =:1105.2297 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  78. [78]

    , keywords =

    The mass function of the stellar component of galaxies in the Sloan Digital Sky Survey , journal =. 2004 , volume =. doi:10.1111/j.1365-2966.2004.08355.x , eprint =

    work page doi:10.1111/j.1365-2966.2004.08355.x 2004

  79. [79]

    Pereira, E. S. and Miranda, O. D. , title =. , year =. arXiv , doi =:0909.4252 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv

  80. [80]

    The Host Galaxies of Swift Dark Gamma-Ray Bursts: Observational Constraints on Highly Obscured and Very High-Redshift GRBs

    The Host Galaxies of Swift Dark Gamma-ray Bursts: Observational Constraints on Highly Obscured and Very High Redshift GRBs , journal =. 2009 , volume =. arXiv , doi =:0905.0001 , keywords =

    work page internal anchor Pith review Pith/arXiv arXiv 2009

Showing first 80 references.