Model-independent constraints on Ωm and H ( z ) from the link between geometry and growth

Ruiz-Zapatero, Jaime; García-García, Carlos; Alonso, David; Ferreira, Pedro G.; Grumitt, Richard D. P.

doi:10.1093/mnras/stac431

Title: Model-independent constraints on Ωm and H ( z ) from the link between geometry and growth

Journal Article · 17 February 2022 · Monthly Notices of the Royal Astronomical Society

DOI: https://doi.org/10.1093/mnras/stac431 · OSTI ID:1856607

; García-García, Carlos; Alonso, David; Ferreira, Pedro G.; Grumitt, Richard D. P.

ABSTRACT We constrain the expansion history of the Universe and the cosmological matter density fraction in a model-independent way by exclusively making use of the relationship between background and perturbations under a minimal set of assumptions. We do so by employing a Gaussian process to model the expansion history of the Universe from present time to the recombination era. The expansion history and the cosmological matter density are then constrained using recent measurements from cosmic chronometers, Type-Ia supernovae, baryon acoustic oscillations, and redshift-space distortion data. Our results show that the evolution in the reconstructed expansion history is compatible with the Planck 2018 prediction at all redshifts. The current data considered in this study can constrain a Gaussian process on H(z) to an average $$9.4 {{\ \rm per\ cent}}$$ precision across redshift. We find Ωm = 0.224 ± 0.066, lower but statistically compatible with the Planck 2018 cosmology. Finally, the combination of future DESI measurements with the CMB measurement considered in this work holds the promise of $$8 {{\ \rm per\ cent}}$$ average constraints on a model-independent expansion history as well as a five-fold tighter Ωm constraint using the methodology developed in this work.

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Research Organization:: US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Sloan Digital Sky Survey (SDSS)

Sponsoring Organization:: USDOE

OSTI ID:: 1856607

Journal Information:: Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 2 Vol. 512; ISSN 0035-8711

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (62)

A buyer’s guide to the Hubble constant Shah, Paul; Lemos, Pablo; Lahav, Ofer The Astronomy and Astrophysics Review, Vol. 29, Issue 1 https://doi.org/10.1007/s00159-021-00137-4	journal	December 2021
Quantifying the S 8 tension with the Redshift Space Distortion data set Benisty, David Physics of the Dark Universe, Vol. 31 https://doi.org/10.1016/j.dark.2020.100766	journal	January 2021
Array programming with NumPy Harris, Charles R.; Millman, K. Jarrod; van der Walt, Stéfan J. Nature, Vol. 585, Issue 7825 https://doi.org/10.1038/s41586-020-2649-2	journal	September 2020
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Nature Methods https://doi.org/10.1038/s41592-019-0686-2	journal	February 2020
Planck 2018 results: VI. Cosmological parameters Aghanim, N.; Akrami, Y.; Ashdown, M. Astronomy & Astrophysics, Vol. 641, A6 https://doi.org/10.1051/0004-6361/201833910	journal	September 2020
KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints Heymans, Catherine; Tröster, Tilman; Asgari, Marika Astronomy & Astrophysics, Vol. 646 https://doi.org/10.1051/0004-6361/202039063	journal	February 2021
KiDS-1000 cosmology: Cosmic shear constraints and comparison between two point statistics Asgari, Marika; Lin, Chieh-An; Joachimi, Benjamin Astronomy & Astrophysics, Vol. 645 https://doi.org/10.1051/0004-6361/202039070	journal	January 2021
Geometry versus growth: Internal consistency of the flat ΛCDM model with KiDS-1000 Ruiz-Zapatero, Jaime; Stölzner, Benjamin; Joachimi, Benjamin Astronomy & Astrophysics, Vol. 655 https://doi.org/10.1051/0004-6361/202141350	journal	October 2021
Mass downsizing and “top-down” assembly of early-type galaxies Cimatti, A.; Daddi, E.; Renzini, A. Astronomy & Astrophysics, Vol. 453, Issue 2 https://doi.org/10.1051/0004-6361:20065155	journal	June 2006
Nucleosynthesis in Supernovae. Hoyle, F.; Fowler, William A. The Astrophysical Journal, Vol. 132 https://doi.org/10.1086/146963	journal	July 1960
Early Supernova Luminosity Colgate, Stirling A.; McKee, Chester The Astrophysical Journal, Vol. 157 https://doi.org/10.1086/150102	journal	August 1969
Primeval Adiabatic Perturbation in an Expanding Universe Peebles, P. J. E.; Yu, J. T. The Astrophysical Journal, Vol. 162 https://doi.org/10.1086/150713	journal	November 1970
The Reddening-Free Decline Rate Versus Luminosity Relationship for Type [CLC]Ia[/CLC] Supernovae Phillips, M. M.; Lira, Paulina; Suntzeff, Nicholas B. The Astronomical Journal, Vol. 118, Issue 4 https://doi.org/10.1086/301032	journal	October 1999
Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant Freedman, Wendy L.; Madore, Barry F.; Gibson, Brad K. The Astrophysical Journal, Vol. 553, Issue 1 https://doi.org/10.1086/320638	journal	May 2001
Constraining Cosmological Parameters Based on Relative Galaxy Ages Jimenez, Raul; Loeb, Abraham The Astrophysical Journal, Vol. 573, Issue 1 https://doi.org/10.1086/340549	journal	July 2002
FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION Komatsu, E.; Dunkley, J.; Nolta, M. R. The Astrophysical Journal Supplement Series, Vol. 180, Issue 2 https://doi.org/10.1088/0067-0049/180/2/330	journal	February 2009
Reconstruction of dark energy and expansion dynamics using Gaussian processes Seikel, Marina; Clarkson, Chris; Smith, Mathew Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06 https://doi.org/10.1088/1475-7516/2012/06/036	journal	June 2012
DESI and other Dark Energy experiments in the era of neutrino mass measurements Font-Ribera, Andreu; McDonald, Patrick; Mostek, Nick Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05 https://doi.org/10.1088/1475-7516/2014/05/023	journal	May 2014
H ₀ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method Gómez-Valent, Adrià; Amendola, Luca Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04 https://doi.org/10.1088/1475-7516/2018/04/051	journal	April 2018
Reconstruction of the Dark Energy equation of state from latest data: the impact of theoretical priors Gerardi, Francesca; Martinelli, Matteo; Silvestri, Alessandra Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 07 https://doi.org/10.1088/1475-7516/2019/07/042	journal	July 2019
Genetic algorithms and the analysis of SnIa data Nesseris, Savvas Journal of Physics: Conference Series, Vol. 283 https://doi.org/10.1088/1742-6596/283/1/012025	journal	February 2011
Clustering in real space and in redshift space Kaiser, Nick Monthly Notices of the Royal Astronomical Society, Vol. 227, Issue 1 https://doi.org/10.1093/mnras/227.1.1	journal	July 1987
The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the quasar sample in configuration space between redshift 0.8 and 2.2 Hou, Jiamin; Sánchez, Ariel G.; Ross, Ashley J. Monthly Notices of the Royal Astronomical Society, Vol. 500, Issue 1 https://doi.org/10.1093/mnras/staa3234	journal	October 2020
Galaxy clustering in the DESI Legacy Survey and its imprint on the CMB Hang, Qianjun; Alam, Shadab; Peacock, John A. Monthly Notices of the Royal Astronomical Society, Vol. 501, Issue 1 https://doi.org/10.1093/mnras/staa3738	journal	December 2020
Testing the effect of H 0 on f σ8 tension using a Gaussian process method Li, En-Kun; Du, Minghui; Zhou, Zhi-Huan Monthly Notices of the Royal Astronomical Society, Vol. 501, Issue 3 https://doi.org/10.1093/mnras/staa3894	journal	December 2020
Measurement on the cosmic curvature using the Gaussian process method Yang, Yingjie; Gong, Yungui Monthly Notices of the Royal Astronomical Society, Vol. 504, Issue 2 https://doi.org/10.1093/mnras/stab1085	journal	May 2021
Peculiar-velocity cosmology with Types Ia and II supernovae Stahl, Benjamin E.; de Jaeger, Thomas; Boruah, Supranta S. Monthly Notices of the Royal Astronomical Society, Vol. 505, Issue 2 https://doi.org/10.1093/mnras/stab1446	journal	May 2021
To H 0 or not to H 0? Efstathiou, George Monthly Notices of the Royal Astronomical Society, Vol. 505, Issue 3 https://doi.org/10.1093/mnras/stab1588	journal	June 2021
Arbitrating the S 8 discrepancy with growth rate measurements from redshift-space distortions Nunes, Rafael C.; Vagnozzi, Sunny Monthly Notices of the Royal Astronomical Society, Vol. 505, Issue 4 https://doi.org/10.1093/mnras/stab1613	journal	June 2021
Cosmological parameters, shear maps and power spectra from CFHTLenS using Bayesian hierarchical inference Alsing, Justin; Heavens, Alan; Jaffe, Andrew H. Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 3 https://doi.org/10.1093/mnras/stw3161	journal	December 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: anisotropic galaxy clustering in Fourier space Beutler, Florian; Seo, Hee-Jong; Saito, Shun Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 2 https://doi.org/10.1093/mnras/stw3298	journal	December 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample Alam, Shadab; Ata, Metin; Bailey, Stephen Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3 https://doi.org/10.1093/mnras/stx721	journal	March 2017
Model-independent cosmological constraints from growth and expansion L'Huillier, Benjamin; Shafieloo, Arman; Kim, Hyungjin Monthly Notices of the Royal Astronomical Society, Vol. 476, Issue 3 https://doi.org/10.1093/mnras/sty398	journal	February 2018
Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z ∼ 2 Moresco, Michele Monthly Notices of the Royal Astronomical Society: Letters, Vol. 450, Issue 1 https://doi.org/10.1093/mnrasl/slv037	journal	April 2015
Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory Alam, Shadab; Aubert, Marie; Avila, Santiago Physical Review D, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevD.103.083533	journal	April 2021
Reconstructing quintessence Park, Minsu; Raveri, Marco; Jain, Bhuvnesh Physical Review D, Vol. 103, Issue 10 https://doi.org/10.1103/PhysRevD.103.103530	journal	May 2021
Dark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and weak lensing Abbott, T. M. C.; Aguena, M.; Alarcon, A. Physical Review D, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevD.105.023520	journal	January 2022
Gaussian process cosmography Shafieloo, Arman; Kim, Alex G.; Linder, Eric V. Physical Review D, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevD.85.123530	journal	June 2012
A fast route to modified gravitational growth Baker, Tessa; Ferreira, Pedro; Skordis, Constantinos Physical Review D, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevD.89.024026	journal	January 2014
Model independent inference of the expansion history and implications for the growth of structure Joudaki, Shahab; Kaplinghat, Manoj; Keeley, Ryan Physical Review D, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevD.97.123501	journal	June 2018
Falsifying Λ CDM : Model-independent tests of the concordance model with eBOSS DR14Q and Pantheon Shafieloo, Arman; L’Huillier, Benjamin; Starobinsky, Alexei A. Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.083526	journal	October 2018
Phenomenology of large scale structure in scalar-tensor theories: Joint prior covariance of w DE , Σ , and μ in Horndeski theories Espejo, Juan; Peirone, Simone; Raveri, Marco Physical Review D, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevD.99.023512	journal	January 2019
The WiggleZ Dark Energy Survey: survey design and first data release Drinkwater, Michael J.; Jurek, Russell J.; Blake, Chris Monthly Notices of the Royal Astronomical Society, Vol. 401, Issue 3 https://doi.org/10.1111/j.1365-2966.2009.15754.x	journal	January 2010
Dynamical masses of early-type galaxies: a comparison to lensing results and implications for the stellar initial mass function and the distribution of dark matter: Luminous and dark matter in early-type galaxies Thomas, J.; Saglia, R. P.; Bender, R. Monthly Notices of the Royal Astronomical Society, Vol. 415, Issue 1 https://doi.org/10.1111/j.1365-2966.2011.18725.x	journal	June 2011
The WiggleZ Dark Energy Survey: joint measurements of the expansion and growth history at z < 1 : WiggleZ Survey: expansion history Blake, Chris; Brough, Sarah; Colless, Matthew Monthly Notices of the Royal Astronomical Society, Vol. 425, Issue 1 https://doi.org/10.1111/j.1365-2966.2012.21473.x	journal	July 2012
Gaussian processes reconstruction of dark energy from observational data Zhang, Ming-Jian; Li, Hong The European Physical Journal C, Vol. 78, Issue 6 https://doi.org/10.1140/epjc/s10052-018-5953-3	journal	June 2018
Measurements of $$H_0$$ and reconstruction of the dark energy properties from a model-independent joint analysis Bonilla, Alexander; Kumar, Suresh; Nunes, Rafael C. The European Physical Journal C, Vol. 81, Issue 2 https://doi.org/10.1140/epjc/s10052-021-08925-z	journal	February 2021
Cosmic Microwave Background Anisotropies Hu, Wayne; Dodelson, Scott Annual Review of Astronomy and Astrophysics, Vol. 40, Issue 1 https://doi.org/10.1146/annurev.astro.40.060401.093926	journal	September 2002
Inference from Iterative Simulation Using Multiple Sequences Gelman, Andrew; Rubin, Donald B. Statistical Science, Vol. 7, Issue 4 https://doi.org/10.1214/ss/1177011136	journal	November 1992
The Prior Can Often Only Be Understood in the Context of the Likelihood Gelman, Andrew; Simpson, Daniel; Betancourt, Michael Entropy, Vol. 19, Issue 10 https://doi.org/10.3390/e19100555	journal	October 2017
The Sdss-Iv Extended Baryon Oscillation Spectroscopic Survey: Overview and Early data Dawson, Kyle S.; Kneib, Jean-Paul; Percival, Will J. The Astronomical Journal, Vol. 151, Issue 2 https://doi.org/10.3847/0004-6256/151/2/44	journal	February 2016
Cosmicflows-3 Tully, R. Brent; Courtois, Hélène M.; Sorce, Jenny G. The Astronomical Journal, Vol. 152, Issue 2 https://doi.org/10.3847/0004-6256/152/2/50	journal	August 2016
Sloan Digital Sky Survey IV: Mapping the Milky Way, Nearby Galaxies, and the Distant Universe Blanton, Michael R.; Bershady, Matthew A.; Abolfathi, Bela The Astronomical Journal, Vol. 154, Issue 1 https://doi.org/10.3847/1538-3881/aa7567	journal	June 2017
The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample Scolnic, D. M.; Jones, D. O.; Rest, A. The Astrophysical Journal, Vol. 859, Issue 2 https://doi.org/10.3847/1538-4357/aab9bb	journal	May 2018
Setting the Stage for Cosmic Chronometers. I. Assessing the Impact of Young Stellar Populations on Hubble Parameter Measurements Moresco, Michele; Jimenez, Raul; Verde, Licia The Astrophysical Journal, Vol. 868, Issue 2 https://doi.org/10.3847/1538-4357/aae829	journal	November 2018
Model-independent Reconstruction of f ( T ) Gravity from Gaussian Processes Cai, Yi-Fu; Khurshudyan, Martiros; Saridakis, Emmanuel N. The Astrophysical Journal, Vol. 888, Issue 2 https://doi.org/10.3847/1538-4357/ab5a7f	journal	January 2020
Calibration of the Tip of the Red Giant Branch Freedman, Wendy L.; Madore, Barry F.; Hoyt, Taylor The Astrophysical Journal, Vol. 891, Issue 1 https://doi.org/10.3847/1538-4357/ab7339	journal	March 2020
Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix Moresco, Michele; Jimenez, Raul; Verde, Licia The Astrophysical Journal, Vol. 898, Issue 1 https://doi.org/10.3847/1538-4357/ab9eb0	journal	July 2020
Eppur è piatto? The Cosmic Chronometers Take on Spatial Curvature and Cosmic Concordance Vagnozzi, Sunny; Loeb, Abraham; Moresco, Michele The Astrophysical Journal, Vol. 908, Issue 1 https://doi.org/10.3847/1538-4357/abd4df	journal	February 2021
The Megamaser Cosmology Project. XIII. Combined Hubble Constant Constraints Pesce, D. W.; Braatz, J. A.; Reid, M. J. The Astrophysical Journal, Vol. 891, Issue 1 https://doi.org/10.3847/2041-8213/ab75f0	journal	February 2020
Determining Model-independent H ₀ and Consistency Tests Liao, Kai; Shafieloo, Arman; Keeley, Ryan E. The Astrophysical Journal, Vol. 895, Issue 2 https://doi.org/10.3847/2041-8213/ab8dbb	journal	May 2020
Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with ΛCDM Riess, Adam G.; Casertano, Stefano; Yuan, Wenlong The Astrophysical Journal, Vol. 908, Issue 1 https://doi.org/10.3847/2041-8213/abdbaf	journal	February 2021

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