A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters

Abstract The gas mass fraction in galaxy clusters has been widely used to determine cosmological parameters. This method assumes that the ratio of the cluster gas mass fraction to the cosmic baryon fraction ( $$\gamma (z)$$ γ ( z ) ) is constant as a function of redshift. In this work, we look for a...

Full description

Bibliographic Details
Main Authors: Kamal Bora, Shantanu Desai
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09099-4
_version_ 1818580440751013888
author Kamal Bora
Shantanu Desai
author_facet Kamal Bora
Shantanu Desai
author_sort Kamal Bora
collection DOAJ
description Abstract The gas mass fraction in galaxy clusters has been widely used to determine cosmological parameters. This method assumes that the ratio of the cluster gas mass fraction to the cosmic baryon fraction ( $$\gamma (z)$$ γ ( z ) ) is constant as a function of redshift. In this work, we look for a time evolution of $$\gamma (z)$$ γ ( z ) at $$R_{500}$$ R 500 by using both the SPT-SZ and Planck Early SZ (ESZ) cluster data, in a model-independent fashion without any explicit dependence on the underlying cosmology. For this calculation, we use a non-parametric functional form for the Hubble parameter obtained from Gaussian Process regression using cosmic chronometers. We parameterize $$\gamma (z)$$ γ ( z ) as: $$\gamma (z)= \gamma _0(1+\gamma _1 z)$$ γ ( z ) = γ 0 ( 1 + γ 1 z ) to constrain the redshift evolution. We find contradictory results between both the samples. For SPT-SZ, $$\gamma (z)$$ γ ( z ) decreases as a function of redshift (at more than 5 $$\sigma $$ σ ), whereas a positive trend with redshift is found for Planck ESZ data (at more than 4 $$\sigma $$ σ ). We however find that the $$\gamma _1$$ γ 1 values for a subset of SPT-SZ and Planck ESZ clusters between the same redshift interval agree to within $$1\sigma $$ 1 σ . When we allow for a dependence on the halo mass in the evolution of the gas depletion factor, the $$4-5\sigma $$ 4 - 5 σ discrepancy reduces to $$2\sigma $$ 2 σ .
first_indexed 2024-12-16T07:17:38Z
format Article
id doaj.art-a8f75527ebf84a39afc37a9f8b43a330
institution Directory Open Access Journal
issn 1434-6044
1434-6052
language English
last_indexed 2024-12-16T07:17:38Z
publishDate 2021-04-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj.art-a8f75527ebf84a39afc37a9f8b43a3302022-12-21T22:39:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-04-0181411410.1140/epjc/s10052-021-09099-4A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clustersKamal Bora0Shantanu Desai1Department of Physics, Indian Institute of Technology, HyderabadDepartment of Physics, Indian Institute of Technology, HyderabadAbstract The gas mass fraction in galaxy clusters has been widely used to determine cosmological parameters. This method assumes that the ratio of the cluster gas mass fraction to the cosmic baryon fraction ( $$\gamma (z)$$ γ ( z ) ) is constant as a function of redshift. In this work, we look for a time evolution of $$\gamma (z)$$ γ ( z ) at $$R_{500}$$ R 500 by using both the SPT-SZ and Planck Early SZ (ESZ) cluster data, in a model-independent fashion without any explicit dependence on the underlying cosmology. For this calculation, we use a non-parametric functional form for the Hubble parameter obtained from Gaussian Process regression using cosmic chronometers. We parameterize $$\gamma (z)$$ γ ( z ) as: $$\gamma (z)= \gamma _0(1+\gamma _1 z)$$ γ ( z ) = γ 0 ( 1 + γ 1 z ) to constrain the redshift evolution. We find contradictory results between both the samples. For SPT-SZ, $$\gamma (z)$$ γ ( z ) decreases as a function of redshift (at more than 5 $$\sigma $$ σ ), whereas a positive trend with redshift is found for Planck ESZ data (at more than 4 $$\sigma $$ σ ). We however find that the $$\gamma _1$$ γ 1 values for a subset of SPT-SZ and Planck ESZ clusters between the same redshift interval agree to within $$1\sigma $$ 1 σ . When we allow for a dependence on the halo mass in the evolution of the gas depletion factor, the $$4-5\sigma $$ 4 - 5 σ discrepancy reduces to $$2\sigma $$ 2 σ .https://doi.org/10.1140/epjc/s10052-021-09099-4
spellingShingle Kamal Bora
Shantanu Desai
A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
European Physical Journal C: Particles and Fields
title A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
title_full A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
title_fullStr A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
title_full_unstemmed A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
title_short A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
title_sort model independent test of the evolution of gas depletion factor for spt sz and planck esz clusters
url https://doi.org/10.1140/epjc/s10052-021-09099-4
work_keys_str_mv AT kamalbora amodelindependenttestoftheevolutionofgasdepletionfactorforsptszandplanckeszclusters
AT shantanudesai amodelindependenttestoftheevolutionofgasdepletionfactorforsptszandplanckeszclusters
AT kamalbora modelindependenttestoftheevolutionofgasdepletionfactorforsptszandplanckeszclusters
AT shantanudesai modelindependenttestoftheevolutionofgasdepletionfactorforsptszandplanckeszclusters