The short gamma-ray burst population in a quasi-universal jet scenario

Abstract

We describe a model of the short gamma-ray burst (SGRB) population under a `quasi-universal jet' scenario in which jets can differ in their on-axis peak prompt emission luminosity $L_c$, but share a universal angular luminosity profile $\ell ({\theta }_v)=L({\theta }_v)/L_c$ as a function of the viewing angle ${\theta }_v$. The model is fitted, through a Bayesian hierarchical approach inspired by gravitational wave (GW) population analyses, to 3 observed SGRB samples simultaneously: the Fermi/GBM sample of SGRBs with spectral information in the catalogue (367 events); a flux-complete sample of 16 Swift/BAT SGRBs also detected by GBM, with a measured redshift; and a sample of SGRBs with a binary neutron star (BNS) merger counterpart, which only includes GRB~170817A at present. The results favour a narrow jet core with half-opening angle ${\theta }_c=2.1_{-1.4}^{+2.4}$ deg (90\% credible intervals from our fiducial `full sample' analysis) whose on-axis peak luminosity is distributed as $p(L_c)\propto L_c^{-A}$ with $A=3.2_{-0.4}^{+0.7}$ above a minimum luminosity $L_c^{\star }=5_{-2}^{+11}\times 10^{51}$ erg s${}^{-1}$. For ${\theta }_v>{\theta }_c$, the luminosity scales as a power law $\ell \propto {\theta }_v^{-{\alpha }_L}$ with ${\alpha }_L=4.7_{-1.4}^{+1.2}$, with no evidence for a break. While the model implies an intrinsic `Yonetoku' correlation between $L$ and the peak photon energy $E_p$, its slope is somewhat shallower $E_p\propto L^{0.4\pm 0.2}$ than the apparent one, and the normalization is offset towards larger $E_p$, due to selection effects. The implied local rate density of SGRBs is between about 100 up to several thousands of events per Gpc${}^3$ yr, in line with the BNS merger rate density inferred from GW observations. Based on the model, we predict 0.2 to 1.3 joint GW+SGRB detections per year by the Advanced GW detector network and Fermi/GBM during the O4 observing run.

arXiv comment30 pages, 23 figures, submitted to A&A. Comments are welcome!

References in corpus (96)

• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Cosmic Star Formation History
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Discovery of the peculiar supernova 1998bw in the error box of GRB980425
• The Fermi Gamma-Ray Burst Monitor
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Characterization of the LIGO detectors during their sixth science run
• Swope Supernova Survey 2017a (SSS17a), the Optical Counterpart to a Gravitational Wave Source
• Short-Duration Gamma-Ray Bursts
• Discovery of the X-Ray Afterglow of the Gamma-Ray Burst of February 28 1997
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Short-Hard Gamma-Ray Bursts
• GRB Formation Rates inferred from the Spectral Peak Energy - Luminosity Relation
• Superluminal motion of a relativistic jet in the neutron star merger GW170817
• A Decade of Short-duration Gamma-ray Burst Broad-band Afterglows: Energetics, Circumburst Densities, and Jet Opening Angles
• Afterglow lightcurves, viewing angle and the jet structure of gamma-ray bursts
• 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
• Extracting distribution parameters from multiple uncertain observations with selection biases
• Compact radio emission indicates a structured jet was produced by a binary neutron star merger
• SN 2003lw and GRB 031203: A Bright Supernova for a Faint Gamma-ray Burst
• A Kilonova Following a Long-Duration Gamma-Ray Burst at 350 Mpc
• The Fourth Fermi-GBM Gamma-Ray Burst Catalog: A Decade of Data
• The Locations of Short Gamma-ray Bursts as Evidence for Compact Object Binary Progenitors
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• The rate, luminosity function and time delay of non-Collapsar short GRBs
• The Afterglows of Swift-era Gamma-Ray Bursts II.: Type I GRB versus Type II GRB Optical Afterglows
• Does the Black Hole Merger Rate Evolve with Redshift?
• A complete sample of bright Swift Long Gamma-Ray Bursts: Sample presentation, Luminosity Function and evolution
• Short vs Long and Collapsars vs. non-Collapsar: a quantitative classification of GRBs
• Demographics of the Galaxies Hosting Short-duration Gamma-Ray Bursts
• Short versus Long Gamma-Ray Bursts: spectra, energetics, and luminosities
• Detection of a supernova signature associated with GRB 011121
• GRB 060218/SN 2006aj: A Gamma-Ray Burst and Prompt Supernova at z=0.0335
• The Distance to NGC 4993: The Host Galaxy of the Gravitational-wave Event GW170817
• The optical afterglow of GW170817 at one year post-merger
• A Precise Distance to the Host Galaxy of the Binary Neutron Star Merger GW170817 Using Surface Brightness Fluctuations
• The structure of hydrodynamic $\gamma$-ray burst jets
• A complete sample of bright Swift short Gamma-Ray Bursts
• The BATSE-Swift luminosity and redshift distributions of short-duration GRBs
• Short GRBs at the dawn of the gravitational wave era
• Short GRB Host Galaxies I: Photometric and Spectroscopic Catalogs, Host Associations, and Galactocentric Offsets
• Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning
• The Luminosity and Redshift Distributions of Short-Duration GRB
• The spectra of short Gamma-Ray Bursts
• The case for a minute-long merger-driven gamma-ray burst from fast-cooling synchrotron emission
• A Revised Analysis of Gamma Ray Bursts' prompt efficiencies
• A lesson from GW170817: most neutron star mergers result in tightly collimated successful GRB jets
• Structure of Gamma-Ray Burst jets: intrinsic versus apparent properties
• GRB as explosions with standard power
• Short GRB Host Galaxies. II. A Legacy Sample of Redshifts, Stellar Population Properties, and Implications for their Neutron Star Merger Origins
• The structure of weakly-magnetized $\gamma$-ray burst jets
• Are all short-hard gamma-ray bursts produced from mergers of compact stellar objects?
• Luminosity function and jet structure of Gamma Ray Bursts
• Late-time Evolution of Afterglows from Off-Axis Neutron-Star Mergers
• GeV emission from a compact binary merger
• Multi-messenger observations of binary neutron star mergers in the O4 run
• Short vs. Long Gamma-Ray Bursts: A Comprehensive Study of Energetics and Prompt Gamma-Ray Correlations
• Optical measurement of superluminal motion in the neutron-star merger GW170817
• Constraining the fraction of binary black holes formed in isolation and young star clusters with gravitational-wave data
• Radio Detection of Old GRB Remnants in the Local Universe
• Constraints on Off-Axis X-Ray Emission from Beamed GRBs
• Joint gravitational wave -- gamma-ray burst detection rates in the aftermath of GW170817
• Light curves and spectra from off-axis gamma-ray bursts
• Gamma-ray burst jet propagation, development of angular structure, and the luminosity function
• The formation rate of short gamma-ray bursts and gravitational waves
• GRB171205A/SN2017iuk: A local low-luminosity gamma-ray burst
• Luminosities and Space Densities of Short Gamma-Ray Bursts
• Multi-messenger Detection Rates and distributions of Binary Neutron Star Mergers and Their Cosmological Implications
• 10.4m GTC observations of the nearby VHE-detected GRB 190829A/SN 2019oyw
• Search for Gravitational Waves Associated with Gamma-Ray Bursts Detected by Fermi and Swift During the LIGO-Virgo Run O3b
• Inverse reconstruction of jet structure from off-axis gamma-ray burst afterglows
• Linking the rates of neutron star binaries and short gamma-ray bursts
• On the jet-ejecta interaction in 3D GRMHD simulations of binary neutron star merger aftermath
• The orbit of GW170817 was inclined by less than 28 degrees to the line of sight
• Short Gamma Ray Burst Formation Rate from BATSE data using E_p-L_p correlation and the minimum gravitational wave event rate of coalescing compact binary
• Prospects for multi-messenger detection of binary neutron star mergers in the fourth LIGO-Virgo-KAGRA observing run
• Constraining short gamma-ray burst jet properties with gravitational waves and gamma rays
• Do the Fermi Gamma-Ray Burst Monitor and Swift Burst Alert Telescope see the Same Short Gamma-Ray Bursts?
• There is a short gamma-ray burst prompt phase at the beginning of each long one
• Binary neutron star merger rate via the luminosity function of short gamma-ray bursts
• A search for the afterglows, kilonovae, and host galaxies of two short GRBs: GRB 211106A and GRB 211227A
• Comparing Short Gamma-Ray Burst Jet Structure Models
• Constraining the intrinsic population of Long Gamma-Ray Bursts: implications for spectral correlations, cosmic evolution and their use as tracers of star formation
• Constraints on the merging binary neutron star mass distribution and equation of state based on the incidence of jets in the population
• Counting on Short Gamma-Ray Bursts: Gravitational-Wave Constraints of Jet Geometry
• The jet structure and the intrinsic luminosity function of short gamma-ray bursts
• Analytic Model for Off-Axis GRB Afterglow Images -- Geometry Measurement and Implications for Measuring $H_0$
• How unbiased statistical methods lead to biased scientific discoveries: A case study of the Efron-Petrosian statistic applied to the luminosity-redshift evolution of Gamma-Ray Bursts
• Jet Geometry and Rate Estimate of Coincident Gamma Ray Burst and Gravitational Wave Observations
• Constraints On Short, Hard Gamma-Ray Burst Beaming Angles From Gravitational Wave Observations
• Prospects of joint detections of neutron star mergers and short-GRBs with Gaussian structured jets

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