Testing the effect of $H_0$ on $f{\sigma }_8$ tension using a Gaussian Process method

Abstract

Using the $f{\sigma }_8(z)$ redshift space distortion (RSD) data, the ${\sigma }_8^0-{\Omega }_m^0$ tension is studied utilizing a parameterization of growth rate $f(z)={\Omega }_m(z{)}^{\gamma }$. Here, $f(z)$ is derived from the expansion history $H(z)$ which is reconstructed from the observational Hubble data applying the Gaussian Process method. It is found that different priors of $H_0$ have great influences on the evolution curve of $H(z)$ and the constraint of ${\sigma }_8^0-{\Omega }_m^0$. When using a larger $H_0$ prior, the low redshifts $H(z)$ deviate significantly from that of the $\Lambda$CDM model, which indicates that a dark energy model different from the cosmological constant can help to relax the $H_0$ tension problem. The tension between our best-fit values of ${\sigma }_8^0-{\Omega }_m^0$ and that of the \textit{Planck} 2018 $\Lambda$CDM (PLA) will disappear (less than $1\sigma$) when taking a prior for $H_0$ obtained from PLA. Moreover, the tension exceeds $2\sigma$ level when applying the prior $H_0=73.52\pm 1.62$ km/s/Mpc resulted from the Hubble Space Telescope photometry. By comparing the $S_8-{\Omega }_m^0$ planes of our method with the results from KV450+DES-Y1, we find that using our method and applying the RSD data may be helpful to break the parameter degeneracies.

arXiv comment13 pages, 10 figures, accepted for publication by MNRAS

References in corpus (106)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The 3D power spectrum of galaxies from the SDSS
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• 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
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Cluster Abundance Constraints on Quintessence Models
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Cosmic Growth History and Expansion History
• The trouble with $H_0$
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• 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
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Efficient sampling of fast and slow cosmological parameters
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• Dynamical dark energy in light of the latest observations
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Can interacting dark energy solve the $H_0$ tension?
• Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests
• Parameterized Beyond-Einstein Growth
• Reconstructing the history of structure formation using redshift distortions
• Interpreting large-scale redshift-space distortion measurements
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• Tale of stable interacting dark energy, observational signatures, and the $H_0$ tension
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• Cosmic flows in the nearby universe from Type Ia Supernovae
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Galaxy And Mass Assembly (GAMA): improved cosmic growth measurements using multiple tracers of large-scale structure
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• First evidence of running cosmic vacuum: challenging the concordance model
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space
• Reducing the $H_0$ and ${\sigma }_8$ tensions with Dark Matter-neutrino interactions
• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• The BAHAMAS project: the CMB--large-scale structure tension and the roles of massive neutrinos and galaxy formation
• General Cosmography Model with Spatial Curvature
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
• KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear
• Tension between the power spectrum of density perturbations measured on large and small scales
• On the growth of linear perturbations
• The growth rate of cosmic structure from peculiar velocities at low and high redshifts
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and Type Ia Supernovae data
• Testing $\Lambda$CDM at the lowest redshifts with SN Ia and galaxy velocities
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: structure growth rate measurement from the anisotropic quasar power spectrum in the redshift range $0.8<z<2.2$
• Possible signals of vacuum dynamics in the Universe
• Growth rate of cosmological perturbations at z ~ 0.1 from a new observational test
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring structure growth using passive galaxies
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Gravity test from the combination of redshift-space distortions and galaxy-galaxy lensing at $0.5<z<1.2$
• Evidence for interacting dark energy from BOSS
• The VIMOS Public Extragalactic Redshift Survey: Measuring the growth rate of structure around cosmic voids
• 2MTF VI. Measuring the velocity power spectrum
• Current Observational Constraints to Holographic Dark Energy Model with New Infrared cut-off via Markov Chain Monte Carlo Method
• How the Dark Energy Can Reconcile \textit{Planck} with Local Determination of the Hubble Constant
• Hubble parameter measurement constraints on dark energy
• The growth of matter perturbations in some scalar-tensor DE models
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: anisotropic clustering analysis in configuration-space
• Is there concordance within the concordance $\Lambda$CDM model?
• Growth Index of DGP Model and Current Growth Rate Data
• Falsifying $\Lambda$CDM: Model-independent tests of the concordance model with eBOSS DR14Q and Pantheon
• Mapping the Real Space Distributions of Galaxies in SDSS DR7: II. Measuring the growth rate, clustering amplitude of matter and biases of galaxies at redshift $0.1$
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: a tomographic analysis of structure growth and expansion rate from anisotropic galaxy clustering
• Skewness as a test of the equivalence principle
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): An unbiased estimate of the growth rate of structure at $⟨\mathbf{z}⟩=0.85$ using the clustering of luminous blue galaxies
• Model-independent cosmological constraints from growth and expansion
• Measuring growth index in a universe with massive neutrinos: A revisit of the general relativity test with the latest observations
• Cosmic Growth and Expansion Conjoined
• Accuracy of the growth index in the presence of dark energy perturbations
• Speed from light: growth rate and bulk flow at z ~ 0.1 from improved SDSS DR13 photometry
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: measuring the evolution of the growth rate using redshift space distortions between redshift 0.8 and 2.2
• Non-minimal Derivative Coupling Scalar Field and Bulk Viscous Dark Energy
• Defying the laws of Gravity I: model-independent reconstruction of the Universe expansion from growth data
• When is the growth index constant?
• Growth Index after the Planck Results
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
• Prospect for cosmological parameter estimation using future Hubble parameter measurements
• Observational Constraints on Growth Index with Cosmography
• The tension on the cosmological parameters from different observational data

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• Constraining the Hubble constant to a precision of about 1% using multi-band dark standard siren detections
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• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
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• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• $S_8$ increases with effective redshift in $\Lambda$CDM cosmology
• Towards a model-independent reconstruction approach for late-time Hubble data
• A data-driven Reconstruction of Horndeski gravity via the Gaussian processes
• Revisiting a non-parametric reconstruction of the deceleration parameter from combined background and the growth rate data
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Model-independent constraints on ${\Omega }_m$ and $H(z)$ from the link between geometry and growth
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• f(T) cosmology against the cosmographic method: A new study using mock and observational data
• New cosmological constraints on the evolution of dark matter energy density
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• Search for the $f(R,T)$ gravity functional form via gaussian processes
• Analytical Gaussian Process Cosmography: Unveiling Insights into Matter-Energy Density Parameter at Present
• Constraining deviations from $\Lambda$CDM in the Hubble expansion rate
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• A model-independent test of the evolution of gas depletion factor for SPT-SZ and Planck ESZ clusters
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• On the degeneracy between $f{\sigma }_8$ tension and its Gaussian process forecasting
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• Model-independent calibration of Gamma-Ray Bursts with neural networks