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One of the most prominent challenges to the standard Lambda cold dark matter ($\Lambda$CDM) cosmology is the tension between the structure growth parameter $S_8$ constrained by the cosmic microwave background (CMB) data and the smaller one…

宇宙学与河外天体物理 · 物理学 2022-01-04 Lu Huang , Zhiqi Huang , Huan Zhou , Zhuoyang Li

One problem of the $\Lambda$CDM model is the tension between the $S_8$ found in Cosmic Microwave Background (CMB) experiments and the smaller one obtained from large-scale observations in the late Universe. The $\sigma_8$ quantifies the…

宇宙学与河外天体物理 · 物理学 2021-01-12 David Benisty

Hubble constant $H_0$ and weighted amplitude of matter fluctuations $S_8$ determinations are biased to higher and lower values, respectively, in the late Universe with respect to early Universe values inferred by the Planck collaboration…

The parameter $S_8 \equiv \sigma_8 (\Omega_m/0.3)^{0.5}$ quantifies the amplitude of matter density fluctuations. A persistent discrepancy exists between early-universe CMB observations and late-universe probes. This review assesses the…

宇宙学与河外天体物理 · 物理学 2026-03-30 Ioannis Pantos , Leandros Perivolaropoulos

The $S_8$ tension between low-redshift galaxy surveys and the primary CMB signals a possible breakdown of the $\Lambda$CDM model. Recently differing results have been obtained using low-redshift galaxy surveys and the higher redshifts…

宇宙学与河外天体物理 · 物理学 2024-03-19 Meng-Xiang Lin , Bhuvnesh Jain , Marco Raveri , Eric J. Baxter , Chihway Chang , Marco Gatti , Sujeong Lee , Jessica Muir

We carry out a multi-probe self-consistency test of the flat $\Lambda$CDM model with the aim of exploring potential causes of the reported tensions between high- and low-redshift cosmological observations. We divide the model into two…

The $S_8$ parameter, which quantifies the amplitude of matter fluctuations on scales of $8h^{-1}$ Mpc, has been a source of tension between weak lensing surveys (e.g. KiDS, DES, HSC) and the Planck Cosmic Microwave Background (CMB)…

宇宙学与河外天体物理 · 物理学 2025-06-10 Stuart Marongwe , Stuart Kauffman , Moletlanyi Tshipa , Christian Corda

We use recently published redshift space distortion measurements of the cosmological growth rate, f sigma_8(z), to examine whether the linear evolution of perturbations in the R_h=ct cosmology is consistent with the observed development of…

宇宙学与河外天体物理 · 物理学 2018-09-21 Fulvio Melia

We present constraints on the amplitude of matter fluctuations from the clustering of galaxies and their cross-correlation with the gravitational lensing convergence of the cosmic microwave background (CMB), focusing on low redshifts…

宇宙学与河外天体物理 · 物理学 2025-10-13 Andrea Rubiola , Matteo Zennaro , Carlos García-García , David Alonso

We analyze the claimed tension between redshift space distorsions measurements of $f(z)\sigma_8(z)$ and the predictions of standard $\Lambda$CDM (Planck 2015 and 2018) cosmology. We consider a dataset consisting of 17 data points extending…

宇宙学与河外天体物理 · 物理学 2020-05-20 Alba Quelle , Antonio L. Maroto

We perform a meta-study of recently published Redshift Space Distortion (RSD) measurements of the cosmological growth rate, f(z) \sigma_8(z). We analyse the latest results from the 6dFGS, BOSS, LRG, WiggleZ and VIPERS galaxy redshift…

宇宙学与河外天体物理 · 物理学 2015-06-15 Edward Macaulay , Ingunn Kathrine Wehus , Hans Kristian Eriksen

In order to investigate the origin of the ongoing tension between the amplitude of matter fluctuations measured by weak lensing experiments at low redshifts and the value inferred from the cosmic microwave background anisotropies, we…

The excellent measurements of the cosmic microwave background (CMB) fluctuations by Planck allow us to tightly constrain the amplitude of matter fluctuations at redshift $\sim 1100$ in the $\Lambda$-cold dark matter ($\Lambda$CDM) model.…

宇宙学与河外天体物理 · 物理学 2021-12-21 Alain Blanchard , Stéphane Ilić

The measurements of cluster abundances, gravitational lensings, redshift space distortions and peculiar velocities at lower redshifts point out to much smaller sigma_8 than its value deduced from the measurements of the CMB fluctuations…

综合物理 · 物理学 2026-05-22 Davor Palle

Weak galaxy lensing surveys have consistently reported a lower amplitude for the matter fluctuation spectrum, as measured by the $S_8$ parameter, than expected in the $\Lambda{\rm CDM}$ cosmology favoured by $Planck$. However, the expansion…

宇宙学与河外天体物理 · 物理学 2022-09-14 Alexandra Amon , George Efstathiou

The large-scale redshift-space distortion (RSD) in galaxy clustering can probe $f\sigma_8$, a combination of the cosmic structure growth rate and the matter fluctuation amplitude, which can constrain dark energy models and test theories of…

宇宙学与河外天体物理 · 物理学 2019-08-13 Kevin Spencer McCarthy , Zheng Zheng , Hong Guo

The mismatch between the locally measured expansion rate of the universe and the one inferred from observations of the cosmic microwave background (CMB) assuming the canonical $\Lambda$CDM model has become the new cornerstone of modern…

宇宙学与河外天体物理 · 物理学 2021-12-14 Luis A. Anchordoqui , Eleonora Di Valentino , Supriya Pan , Weiqiang Yang

We discuss the discordance between the estimated values of the cosmological parameters from Planck assuming the concordance $\Lambda$CDM model and low-redshift measurements. In particular, we consider the Hubble constant mismatch between…

宇宙学与河外天体物理 · 物理学 2019-05-01 Dhiraj Kumar Hazra , Arman Shafieloo , Tarun Souradeep

We investigate whether the two cosmological discrepancies on the Hubble constant ($H_0$) and the matter fluctuation parameter ($\sigma_8$) are suggesting and compatible with the existence of an additional one on the matter density. Knowing…

宇宙学与河外天体物理 · 物理学 2023-10-23 Ziad Sakr

Measurements of weak gravitational lensing at low redshifts ($z\lesssim 0.5-1$), quantified by the parameter $S_8$, favor weaker matter clustering than that expected from the standard $\Lambda$CDM cosmological model with parameters…

宇宙学与河外天体物理 · 物理学 2023-10-12 Vivian Poulin , José Luis Bernal , Ely Kovetz , Marc Kamionkowski
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