Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae

Abstract

In this paper, we calibrate the Amati relation (the $E_{\mathrm{p}}$-$E_{\mathrm{iso}}$ correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to reconstruct the smoothed luminosity distance from the Pantheon type Ia supernovae (SNe Ia) sample, we utilize the reconstructed results to calibrate the $E_{\mathrm{p}}$-$E_{\mathrm{iso}}$ correlation with the Markov Chain Monte Carlo method and construct a Hubble diagram with the A220 GRB data, in which there are A118 GRB data with the higher qualities appropriate for cosmological purposes. With 98 GRBs at $1.4<z\le 8.2$ in the A118 sample and the observed Hubble data, we obtain ${\Omega }_{\mathrm{m}}$=$0.346_{-0.069}^{+0.048}$, $h$=$0.677_{-0.029}^{+0.029}$ for the flat $\Lambda$CDM model, and ${\Omega }_{\mathrm{m}}$=$0.314_{-0.055}^{+0.072}$, $h$=$0.705_{-0.069}^{+0.055}$, $w$=$-1.23_{-0.64}^{+0.33}$ for the flat $w$CDM model, which are consistent with those from fitting the coefficients of the Amati relation and the cosmological parameters simultaneously.

arXiv comment14 pages, 9 figures, 5 Tables, accepted for publication in ApJ. Now matches the editorially revised version

References in corpus (110)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• GRB Formation Rates inferred from the Spectral Peak Energy - Luminosity Relation
• The collimation--corrected GRB energies correlate with the peak energy of their $\nu F_{\nu }$ spectrum
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Connection Between Energy-dependent Lags And Peak Luminosity In Gamma-ray Bursts
• A Photometric Redshift of z ~ 9.4 for GRB 090429B
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Model-Independent Multi-Variable Gamma-Ray Burst Luminosity Indicator and Its Possible Cosmological Implications
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• Constraining ${\Omega }_M$ and Dark Energy with Gamma-Ray Bursts
• Gamma Ray Bursts: new rulers to measure the Universe
• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
• On the theory and applications of modern cosmography
• Gamma Ray Bursts as standard candles to constrain the cosmological parameters
• Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
• Cosmographic analysis with Chebyshev polynomials
• Gamma-Ray Burst Hubble Diagram to z=4.5
• Addressing the circularity problem in the $E_{\text{p}}-E_{\text{iso}}$ correlation of Gamma-Ray Bursts
• The Epeak-Eiso plane of long Gamma Ray Bursts and selection effects
• Gamma-ray Burst Cosmology
• Discovery of a tight correlation among the prompt emission properties of long Gamma Ray Bursts
• Using H(z) data as a probe of the concordance model
• An updated Gamma Ray Bursts Hubble diagram
• Evidence for a Lower Value for $H_0$ from Cosmic Chronometers Data?
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• Model-Independent Distance Measurements from Gamma-Ray Bursts and Constraints on Dark Energy
• Cosmography by GRBs
• Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small
• Measuring dark energy with the $E_{\mathrm{iso}}-E_{\mathrm{p}}$ correlation of gamma-ray bursts using model-independent methods
• Do gamma-ray burst measurements provide a useful test of cosmological models?
• Optical and X-ray GRB Fundamental Planes as Cosmological Distance Indicators
• The updated luminosity correlations of gamma-ray bursts and cosmological implications
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• Testing GRBs as Standard Candles
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Can Gamma-Ray Bursts Be Used to Measure Cosmology? A Further Analysis
• Constraints on cosmological parameters from gamma-ray burst peak photon energy and bolometric fluence measurements and other data
• Gamma-ray burst prompt correlations: selection and instrumental effects
• Calibration of Gamma-Ray Burst Luminosity Indicators
• Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• A new method optimized to use Gamma Ray Bursts as cosmic rulers
• The Gamma-ray Bursts fundamental plane correlation as a cosmological tool
• Gamma Ray Burst afterglow and prompt-afterglow relations: an overview
• New Model-independent Method to Test the Curvature of the Universe
• Standardized long gamma-ray bursts as a cosmic distance indicator
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• New measurements of ${\Omega }_m$ from gamma-ray bursts
• Spectral analysis of Fermi-LAT gamma-ray bursts with known redshift and their potential use as cosmological standard candles
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Constraining the Cosmological Parameters and Transition Redshift with Gamma-Ray Bursts and Supernovae
• Overcoming the Circular Problem for γ-ray Bursts in Cosmological Global Fitting Analysis
• Model-independent Curvature Determination from Gravitational-Wave Standard Sirens and Cosmic Chronometers
• Model independent calibrations of gamma ray bursts using machine learning
• Constraints on Cosmological Models and Reconstructing the Acceleration History of the Universe with Gamma-Ray Burst Distance Indicators
• Reconstructing the Cosmic Expansion History up to Redshift z=6.29 with the Calibrated Gamma-Ray Bursts
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• Cosmological constraints from higher-redshift gamma-ray burst, HII starburst galaxy, and quasar (and other) data
• The Optical Two and Three-Dimensional Fundamental Plane Correlations for Nearly 180 Gamma-Ray Burst Afterglows with Swift/UVOT, RATIR, and the SUBARU Telescope
• Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
• Tracing dark energy history with gamma ray bursts
• Variation of the Amati Relation with the Cosmological Redshift: a Selection Effect or an Evolution Effect?
• X-ray Plateaus in Gamma-Ray Burst Afterglows and Their Application in Cosmology
• New constraints on the distance duality relation from the local data
• Model-independent constraints on Lorentz invariance violation: implication from updated Gamma-ray burst observations
• Gamma ray burst constraints on cosmological models from the improved Amati correlation
• $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation of gamma ray bursts: calibration and cosmological applications
• Constraints on $w_0$ and $w_a$ of Dark Energy from High Redshift Gamma Ray Bursts
• Cosmological Constraints from calibrated Yonetoku and Amati relation implies Fundamental plane of Gamma-ray bursts
• Standardizing the GRBs with the Amati Ep,i - Eiso relation: the updated Hubble diagram and implications for cosmography
• Extending the Hubble diagram by gamma ray bursts
• Calibration of GRB Luminosity Relations with Cosmography
• Influence of the Bounds of the Hyperparameters on the Reconstruction of Hubble Constant with Gaussian Process
• Model-independent distance calibration of high-redshift gamma-ray bursts and constrain on the $\Lambda$CDM model
• The improved Amati correlations from Gaussian copula
• The homogeneity scale and the growth rate of cosmic structures
• Weak gravitational lensing effects on cosmological parameters and dark energy from gamma-ray bursts
• A cosmological independent calibration of the Ep,i-Eiso correlation for Gamma Ray Bursts
• Gamma-ray Burst Luminosity Relations: Two-dimensional versus Three-dimensional Correlations
• Improving sampling and calibration of GRBs as distance indicators
• Model-independently calibrating the luminosity correlations of gamma-ray bursts using deep learning
• The GRBs Hubble diagram in quintessential cosmological models
• Redshift evolution of the Amati relation: calibrated results from the Hubble diagram of quasars at high redshifts
• High Redshift Long Gamma-Ray Bursts Hubble Diagram as a Test of Basic Cosmological Relations
• Calibration of gamma-ray bursts luminosity correlations using gravitational waves as standard sirens
• Constraints on the Generalized Chaplygin Gas Model from Gamma-Ray Bursts
• Observational constraints of the gravitational waves in the Brans-Dicke theory: Einstein frame and Jordan-Brans-Dicke frame
• Low redshift calibration of the Amati relation using galaxy clusters
• Evolutions and Calibrations of Long Gamma-Ray Bursts Luminosity Correlations Revisited
• Cosmography by GRBs : Gamma Ray Bursts as possible distance indicators
• Systematics in the Gamma Ray Bursts Hubble diagram
• Probing the Expansion history of the Universe by Model-Independent Reconstruction from Supernovae and Gamma-Ray Bursts Measurements
• Reconstructing the Hubble diagram of gamma-ray bursts using deep learning
• Utilizing the Updated Gamma-Ray Bursts and Type Ia Supernovae to Constrain the Cardassian Expansion Model and Dark Energy

Cited by in corpus (25)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Cosmic chronometers to calibrate the ladders and measure the curvature of the Universe. A model-independent study
• Evidence of a decreasing trend for the Hubble constant
• Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data through a Gaussian Process
• Quasar UV/X-ray relation luminosity distances are shorter than reverberation-measured radius-luminosity relation luminosity distances
• Gamma Rays Bursts: A Viable Cosmological Probe?
• Constraints on the cosmological parameters with three-parameter correlation of Gamma-ray bursts
• Constraints from Fermi observations of Long Gamma-Ray Bursts on cosmological parameters
• LADDER: Revisiting the Cosmic Distance Ladder with Deep Learning Approaches and Exploring its Applications
• Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process
• Constraining the emergent dark energy models with observational data at intermediate redshift
• Standardizing the Gamma-ray burst as a standard candle and applying to the cosmological probes: constraints on the two-component dark energy model
• Testing the standardizability of, and deriving cosmological constraints from, a new Amati-correlated gamma-ray burst data compilation
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Cosmological Constraints on the Phenomenological Interacting Dark Energy Model with Fermi Gamma-Ray Bursts and DESI DR2
• Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way
• Testing the phenomenological interacting dark energy model with gamma-ray bursts and Pantheon+ type Ia supernovae
• Model-independent Gamma-Ray Bursts Constraints on Cosmological Models Using Machine Learning
• Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data in Artificial Neural Network Framework
• Testing the consistency of new Amati-correlated gamma-ray burst dataset cosmological constraints with those from better-established cosmological data
• Gamma-Ray Bursts Calibrated by Using Artificial Neural Networks from the Pantheon+ Sample
• Testing the Cosmic Distance Duality Relation with Neural Kernel Gaussian Process Regression
• Testing the Distance Duality Relation with Cosmological Observations at high Redshift using Artificial Neural Network
• A test of Amati relation using HII galaxy distances
• Redshift Evolution of the HII Galaxy $L$-$\sigma$ Relation: Gaussian Process Analysis and Cosmological Implications