Investigating the Hubble Constant Tension -- Two Numbers in the Standard Cosmological Model

Abstract

The current Hubble constant tension is usually presented by comparing constraints on $H_0$ only. However, the post-recombination background cosmic evolution is determined by two parameters in the standard $\Lambda$CDM model, the Hubble constant ($H_0$) and today's matter energy fraction (${\Omega }_{\mathrm{m}}$). If we therefore compare all constraints individually in the $H_0$-${\Omega }_{\mathrm{m}}$ plane, (1) various constraints can be treated as independently as possible, (2) single-sided constraints are easier to consider, (3) compatibility among different constraints can be viewed in a more robust way, (4) the model dependence of each constraint is clear, and (5) whether or not a nonstandard model is able to reconcile all constraints in tension can be seen more effectively. We perform a systematic comparison of different constraints in the $H_0$-${\Omega }_{\mathrm{m}}$ space based on a flat $\Lambda$CDM model, treating them as separately as possible. Constraints along different degeneracy directions consistently overlap in one region of the space, with the local measurement from Cepheid variable-calibrated supernovae being the most outlying, followed by the time-delay strong-lensing result. Considering the possibility that some nonstandard physics may reconcile the constraints, we provide a general discussion on nonstandard models with modifications at high, mid, or low redshifts, and the effect of local environmental factors. Due to the different responses of individual constraints to a modified model, it is not easy for nonstandard models to reconcile all constraints if none of them have unaccounted-for systematic effects.

arXiv comment11 pages, including appendix. 3 figures. Updated to match version accepted for publication in ApJL

References in corpus (70)

• 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
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Tensions between the Early and the Late Universe
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• Early Dark Energy Can Resolve The Hubble Tension
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• One percent determination of the primordial deuterium abundance
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Calibration of the Tip of the Red Giant Branch (TRGB)
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• TDCOSMO IV: Hierarchical time-delay cosmography -- joint inference of the Hubble constant and galaxy density profiles
• Cluster Cosmology Constraints from the 2500 deg${}^2$ SPT-SZ Survey: Inclusion of Weak Gravitational Lensing Data from Magellan and the Hubble Space Telescope
• The Megamaser Cosmology Project. XIII. Combined Hubble constant constraints
• The Neutrino Puzzle: Anomalies, Interactions, and Cosmological Tensions
• Early Dark Energy Does Not Restore Cosmological Concordance
• Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Gamma-Ray Bursts From Neutron Star Phase Transitions
• Direct Measurement of Cosmological Parameters from the Cosmic Deceleration of Extragalactic Objects
• Cosmology and Astrophysics from Relaxed Galaxy Clusters II: Cosmological Constraints
• Baryon acoustic oscillations from the cross-correlation of Ly$\alpha$ absorption and quasars in eBOSS DR14
• Elucidating $\Lambda$CDM: Impact of Baryon Acoustic Oscillation Measurements on the Hubble Constant Discrepancy
• STRIDES: a 3.9 per cent measurement of the Hubble constant from the strong lens system DES J0408-5354
• Sounds Discordant: Classical Distance Ladder & $\Lambda$CDM -based Determinations of the Cosmological Sound Horizon
• Relieving the Hubble tension with primordial magnetic fields
• Interacting scenarios with dynamical dark energy: observational constraints and alleviation of the $H_0$ tension
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
• Hubble Space Telescope Observations of Mira Variables in the Type Ia Supernova Host NGC 1559: An Alternative Candle to Measure the Hubble Constant
• A Future Percent-Level Measurement of the Hubble Expansion at Redshift 0.8 With Advanced LIGO
• The BAO+BBN take on the Hubble tension
• Baryon Acoustic Oscillations and the Hubble Constant: Past, Present and Future
• Consistent Calibration of the Tip of the Red Giant Branch in the Large Magellanic Cloud on the Hubble Space Telescope Photometric System and a Re-determination of the Hubble Constant
• Late universe decaying dark matter can relieve the H_0 tension
• KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear
• Nonlocal gravity. Conceptual aspects and cosmological predictions
• The Local Perspective on the Hubble Tension: Local Structure Does Not Impact Measurement of the Hubble Constant
• A measurement of the Hubble constant from Type II supernovae
• Joint analysis of 6dFGS and SDSS peculiar velocities for the growth rate of cosmic structure and tests of gravity
• A local resolution of the Hubble tension: The impact of screened fifth forces on the cosmic distance ladder
• Cosmicflows 4: The Calibration of Optical and Infrared Tully-Fisher Relations
• Using The Baryonic Tully-Fisher Relation to Measure $H_o$
• Cosmic flows in the nearby Universe: new peculiar velocities from SNe and cosmological constraints
• GAIA Cepheid parallaxes and 'Local Hole' relieve $H_0$ tension
• Early-type Host Galaxies of Type Ia Supernovae. II. Evidence for Luminosity Evolution in Supernova Cosmology
• A new measurement of the Hubble constant and matter content of the Universe using extragalactic background light $\gamma$-ray attenuation
• Cosmological model insensitivity of local $H_0$ from the Cepheid distance ladder
• Three Ancient Halo Subgiants: Precise Parallaxes, Compositions, Ages, and Implications for Globular Clusters
• The local and distant Universe: stellar ages and $H_0$
• Observational evidence for a local underdensity in the Universe and its effect on the measurement of the Hubble Constant
• Think Global, Act Local: The Influence of Environment Age and Host Mass on Type Ia Supernova Light Curves
• Cosmological discordances: a new measure, marginalization effects, and application to geometry vs growth current data sets
• Could quasar lensing time delays hint to a core component in halos, instead of H0 tension?
• A Standard Ruler at Cosmic Dawn
• The Price of Shifting the Hubble Constant
• Absolute Ages and Distances of 22 GCs using Monte Carlo Main-Sequence Fitting
• Cosmology with galaxy-galaxy lensing on non-perturbative scales: Emulation method and application to BOSS LOWZ
• Cosmological constraints from a joint analysis of cosmic growth and expansion
• An Ultra Metal-poor Star Near the Hydrogen-burning Limit
• The Cosmic Expansion History from Line-Intensity Mapping
• Consistency of the local Hubble constant with the cosmic microwave background
• Void galaxies in the nearby Universe. I. Sample description
• The Hubble constant tension with next-generation galaxy surveys
• Testing consistency of ${\Omega }_b{h}^2$ in the Planck data

Cited by in corpus (30)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Revealing Intrinsic Flat $\Lambda$CDM Biases with Standardizable Candles
• Chameleon dark energy can resolve the Hubble tension
• An overview of what current data can (and cannot yet) say about evolving dark energy
• Early-Universe-Physics Insensitive and Uncalibrated Cosmic Standards: Constraints on ${\Omega }_{\mathrm{m}}$ and Implications for the Hubble Tension
• The trouble beyond $H_0$ and the new cosmic triangles
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Multidimensionality of the Hubble tension: the roles of ${\Omega }_m$ and ${\omega }_c$
• Cosmographic parameters in model-independent approaches
• Combining pre- and post-recombination new physics to address cosmological tensions: case study with varying electron mass and sign-switching cosmological constant
• Testing the consistency between cosmological data: the impact of spatial curvature and the dark energy EoS
• Uncertain Times: The Redshift-Time Relation from Cosmology and Stars
• Toward a Better Understanding of Cosmic Chronometers: Stellar Population Properties of Passive Galaxies at Intermediate Redshift
• Accelerating cosmological models in $f(Q)$ gravity and the phase space analysis
• A Bayesian interpretation of inconsistency measures in cosmology
• Revisiting a non-parametric reconstruction of the deceleration parameter from combined background and the growth rate data
• Can high-redshift Hubble diagrams rule out the standard model of cosmology in the context of cosmographic method?
• Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
• Running vacuum versus Holographic dark energy: a cosmographic comparison
• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Hubble distancing: Focusing on distance measurements in cosmology
• Model-independent estimation of the cosmography parameters using cosmic chronometers
• Uncalibrated Cosmic Standards as a Robust Test on Late-Time Cosmological Models
• Unveiling the Universe with Emerging Cosmological Probes
• Can the quasi-molecular mechanism of recombination decrease the Hubble tension?
• An investigation of a varying G through Strong Lensing and SNe Ia observations
• Kinetic recoupling of dark matter
• Cosmology of Single Species Hidden Dark Matter