Role of the Hubble Scale in the Weak Lensing vs. CMB Tension

Abstract

We explore a re-parameterization of the lensing amplitude tension between weak lensing (WL) and cosmic microwave background (CMB) data and its implications for a joint resolution with the Hubble tension. Specifically, we focus on the lensing amplitude over a scale of 12 Mpc in absolute distance units using a derived parameter $S_{12}$ and show its constraints from recent surveys in comparison with Planck 2018. In WL alone, we find that the absolute distance convention correlates $S_{12}$ with $H_0$. Accounting for this correlation in the 3D space $S_{12}\times {\omega }_m\times h$ reproduces the usual levels of $2\sim 3\sigma$ tension inferred from $S_8\times {\Omega }_m$. Additionally, we derive scaling relations in the $S_8\times h$ and $S_{12}\times h$ planes that are allowed by $\Lambda$CDM and extrapolate target scalings needed to solve the $H_0$ and lensing-amplitude tensions jointly in a hypothetical beyond-$\Lambda$CDM model. As a test example, we quantify how the early dark energy scenario compares with these target scalings. Useful fitting formulae for $S_8$ and $S_{12}$ as a function of other cosmological parameters in $\Lambda$CDM are provided, with 1% precision.

Matches version published in PRD

References in corpus (19)

• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• The trouble with $H_0$
• The $H_0$ Olympics: A fair ranking of proposed models
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• Early Dark Energy Does Not Restore Cosmological Concordance
• To H0 or not to H0?
• Can Late Dark Energy Transitions Raise the Hubble constant?
• New constraint on Early Dark Energy from Planck and BOSS data using the profile likelihood
• Restoring cosmological concordance with early dark energy and massive neutrinos?
• Hints of Early Dark Energy in Planck, SPT, and ACT data: new physics or systematics?
• Assessing tension metrics with Dark Energy Survey and Planck data
• Arguments against using $h^{-1}\mathrm{Mpc}$ units in observational cosmology
• Non-Gaussian estimates of tensions in cosmological parameters
• Quantifying concordance of correlated cosmological data sets
• A Unified Catalog-level Reanalysis of Stage-III Cosmic Shear Surveys
• Cosmology from weak lensing alone and implications for the Hubble tension

Cited by in corpus (6)

• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Resolving the Hubble tension with Early Dark Energy
• Cosmic shear with small scales: DES-Y3, KiDS-1000 and HSC-DR1
• A visual tool for assessing tension-resolving models in the $H_0$-${\sigma }_8$ plane
• Growth and Geometry Split in Light of the DES-Y3 Survey