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Related papers: Untying the growth index to relieve the $\sigma_8$…

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The growth index of matter fluctuations is computed for ten distinct accelerating cosmological models and confronted to the latest growth rate data via a two-step process. First, we implement a joint statistical analysis in order to place…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-03 Spyros Basilakos , Savvas Nesseris

Recent observational analyses have revealed a significant tension in the growth index $\gamma$, which characterizes the growth rate of cosmic structures. Specifically, when treating $\gamma$ as a free parameter within $\Lambda$CDM…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-20 Luis A. Escamilla , Özgür Akarsu , Eleonora Di Valentino , Emre Özülker , J. Alberto Vazquez

The parameter $\sigma_8$ is the rms mass fluctuations on a scale of $R_8=8h^{-1}$ Mpc and is used to quantify the amplitude of matter fluctuations at linear scales. However, the dependence of $R_8$ on $h$ complicates direct comparisons of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-18 Matteo Forconi , Arianna Favale , Adrià Gómez-Valent

We present cosmological parameter constraints from the SFI++ galaxy peculiar velocity survey, the largest galaxy peculiar velocity sample to date. The analysis is performed by using the gridding method developed in Abate et al. (2008). We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Alexandra Abate , Pirin Erdogdu

The key probes of the growth of large-scale structure are its rate $f$ and amplitude $\sigma_8$. Redshift space distortions in the galaxy power spectrum allow us to measure only the combination $f\sigma_8$, which can be used to constrain…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Louis Perenon , Stéphane Ilić , Roy Maartens , Alvaro de la Cruz-Dombriz

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…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-12 David Benisty

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-23 Ziad Sakr

In this study, we analyse constraints on the growth index of matter perturbations, $\gamma$, within the framework of $f(Q)$ gravity, using recent cosmological observations, at the background and the perturbation levels, including…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Dalale Mhamdi , Safae Dahmani , Amine Bouali , Imad El Bojaddaini , Taoufik Ouali

Constraints on the cosmological concordance model parameters from observables at different redshifts are usually obtained using the locally measured value of the gravitational constant $G_N$. Here we relax this assumption, by considering…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-28 Ziad Sakr , Domenico Sapone

Measurements of the cosmological parameter $S_8$ provided by cosmic microwave background and large scale structure data reveal some tension between them, suggesting that the clustering features of matter in these early and late cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-08 Felipe Avila , Armando Bernui , Alexander Bonilla , Rafael C. Nunes

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…

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…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Alba Quelle , Antonio L. Maroto

Recent weak lensing surveys have revealed that the direct measurement of the parameter combination $S_8\equiv\sigma_8(\Omega_m/0.3)^{0.5}$ -- where $\sigma_8$ is a measure of the amplitude of matter fluctuations on 8 $h^{-1}$Mpc scales --…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-23 Guillermo Franco Abellán , Riccardo Murgia , Vivian Poulin , Julien Lavalle

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.…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-21 Alain Blanchard , Stéphane Ilić

In the literature, it was proposed that the growth index $\gamma$ is useful to distinguish the scenarios of dark energy and modified gravity. In the present work, we consider the constraints on the growth index $\gamma$ by using the latest…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-22 Zhao-Yu Yin , Hao Wei

Assuming a minimal $\Lambda$CDM cosmology with three massive neutrinos, the joint analysis of Planck cosmic microwave background data, DESI baryon acoustic oscillations, and distance moduli measurements of Type Ia supernovae from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-02 William Giarè , Olga Mena , Enrico Specogna , Eleonora Di Valentino

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-13 Andrea Rubiola , Matteo Zennaro , Carlos García-García , David Alonso

We use the clustering properties of Luminous Red Galaxies (LRGs) and the growth rate data provided by the various galaxy surveys in order to constrain the growth index ($\gamma$) of the linear matter fluctuations. We perform a standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Athina Pouri , Spyros Basilakos , Manolis Plionis

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 Ioannis Pantos , Leandros Perivolaropoulos

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-06 Shahnawaz A. Adil , Özgür Akarsu , Mohammad Malekjani , Eoin Ó Colgáin , Saeed Pourojaghi , Anjan A. Sen , M. M. Sheikh-Jabbari
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