Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples

Abstract Using gamma-ray bursts as standard candles for cosmological parameter constraints rely on their empirical luminosity relations and low-redshift calibration. In this paper, we examine the Amati relation and its potential corrections based on the A118 sample of higher-quality gamma-ray bursts...

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Main Authors: Yufen Han, Jiaze Gao, Gang Liu, Lixin Xu
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13304-5
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author Yufen Han
Jiaze Gao
Gang Liu
Lixin Xu
author_facet Yufen Han
Jiaze Gao
Gang Liu
Lixin Xu
author_sort Yufen Han
collection DOAJ
description Abstract Using gamma-ray bursts as standard candles for cosmological parameter constraints rely on their empirical luminosity relations and low-redshift calibration. In this paper, we examine the Amati relation and its potential corrections based on the A118 sample of higher-quality gamma-ray bursts, using both Hubble data set and Pantheon+ samples as calibration samples in the redshift range of $$z<1.965$$ z < 1.965 . In calibrating gamma-ray bursts using these two datasets, we employ Gaussian processes to obtain corresponding Hubble diagrams to avoid the dependence on cosmological models in the calibration process. We first divided the low-redshift sample of GRBs into two bins and examined the Amati relation and its potential modifications. We found that under both calibrations, the Amati relation did not show evidence of redshift evolution (68 $$\%$$ % confidence level). For the other two Amati relations that include redshift evolution terms, the central values of the redshift evolution coefficients deviated from 0, but due to the limitations of the sample size and the increase in the number of parameters, most of the redshift evolution coefficients were not able to be excluded from 0 at the 1 $$\sigma $$ σ level. Therefore, to assess their situation across the entire redshift range, we employed MCMC to globally fit three types of Amati relations. By computing AIC and BIC, we found that for the GRB A118 sample, the standard Amati relation remains the most fitting empirical luminosity formula, and no potential redshift evolution trend was observed for two different low-redshift calibrating sources.
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issn 1434-6052
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publishDate 2024-09-01
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series European Physical Journal C: Particles and Fields
spelling doaj-art-b2af7ccd57b545dda9f93e37e6be39c62024-11-17T12:44:08ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-0184911210.1140/epjc/s10052-024-13304-5Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samplesYufen Han0Jiaze Gao1Gang Liu2Lixin Xu3Institute of Theoretical Physics, School of Physics, Dalian University of TechnologyInstitute of Theoretical Physics, School of Physics, Dalian University of TechnologyInstitute of Theoretical Physics, School of Physics, Dalian University of TechnologyInstitute of Theoretical Physics, School of Physics, Dalian University of TechnologyAbstract Using gamma-ray bursts as standard candles for cosmological parameter constraints rely on their empirical luminosity relations and low-redshift calibration. In this paper, we examine the Amati relation and its potential corrections based on the A118 sample of higher-quality gamma-ray bursts, using both Hubble data set and Pantheon+ samples as calibration samples in the redshift range of $$z<1.965$$ z < 1.965 . In calibrating gamma-ray bursts using these two datasets, we employ Gaussian processes to obtain corresponding Hubble diagrams to avoid the dependence on cosmological models in the calibration process. We first divided the low-redshift sample of GRBs into two bins and examined the Amati relation and its potential modifications. We found that under both calibrations, the Amati relation did not show evidence of redshift evolution (68 $$\%$$ % confidence level). For the other two Amati relations that include redshift evolution terms, the central values of the redshift evolution coefficients deviated from 0, but due to the limitations of the sample size and the increase in the number of parameters, most of the redshift evolution coefficients were not able to be excluded from 0 at the 1 $$\sigma $$ σ level. Therefore, to assess their situation across the entire redshift range, we employed MCMC to globally fit three types of Amati relations. By computing AIC and BIC, we found that for the GRB A118 sample, the standard Amati relation remains the most fitting empirical luminosity formula, and no potential redshift evolution trend was observed for two different low-redshift calibrating sources.https://doi.org/10.1140/epjc/s10052-024-13304-5
spellingShingle Yufen Han
Jiaze Gao
Gang Liu
Lixin Xu
Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
European Physical Journal C: Particles and Fields
title Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
title_full Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
title_fullStr Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
title_full_unstemmed Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
title_short Detection of gamma-ray burst Amati relation based on Hubble data set and Pantheon+ samples
title_sort detection of gamma ray burst amati relation based on hubble data set and pantheon samples
url https://doi.org/10.1140/epjc/s10052-024-13304-5
work_keys_str_mv AT yufenhan detectionofgammarayburstamatirelationbasedonhubbledatasetandpantheonsamples
AT jiazegao detectionofgammarayburstamatirelationbasedonhubbledatasetandpantheonsamples
AT gangliu detectionofgammarayburstamatirelationbasedonhubbledatasetandpantheonsamples
AT lixinxu detectionofgammarayburstamatirelationbasedonhubbledatasetandpantheonsamples