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The Hubble ($H_0$) tension between direct measurements of the expansion rate and the prediction of the $\Lambda$CDM cosmological model calibrated on the Cosmic Microwave Background (CMB), is a strong motivation to explore alternative…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-12 Clément Stahl , Vivian Poulin , Benoit Famaey , Rodrigo Ibata

Weak galaxy lensing surveys have consistently reported low values of the $S_8$ parameter compared to the $\textit{Planck}\ \Lambda\rm{CDM}$ cosmology. Amon & Efstathiou (2022) used KiDS-1000 cosmic shear measurements to propose that this…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-18 Calvin Preston , Alexandra Amon , George Efstathiou

The possibility that the $H_0$ tension is a sign of a physics beyond the $\Lambda$CDM model is one of the most exciting possibilities in modern cosmology. The challenge of solving this problem is complicated by several factors, including…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-29 Ramon de Sá , Micol Benetti , Leila Lobato Graef

We investigate linear matter density perturbations in the $\Lambda_{\rm s}$CDM, in which the $\Lambda$ is replaced by late-time ($z\sim2$) mirror AdS-dS transition, resulting in distinct growth dynamics. We use two complementary approaches:…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Özgür Akarsu , Arman Çam , Evangelos A. Paraskevas , Leandros Perivolaropoulos

The $\Lambda$CDM model provides a good fit to most astronomical observations but harbors large areas of phenomenology and ignorance. With the improvements in the precision and number of observations, discrepancies between key cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Jian-Ping Hu , Fa-Yin Wang

Beyond-$\Lambda$CDM models have been proposed to address various shortcomings of the standard cosmological model, such as the ``Hubble tension.'' These models often have an impact on the discrepancy in the amplitude of matter clustering,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-17 Igor de O. C. Pedreira , Micol Benetti , Elisa G. M. Ferreira , Leila L. Graef , Laura Herold

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

Cosmological measurements have revealed tensions within the standard $\Lambda$CDM model, notably discrepancies in the Hubble constant and $S_8$ parameter. A modified recombination scenario involving a time-varying electron mass has been…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Yi-Ying Wang , Lei Lei , Shao-Peng Tang , Yi-Zhong Fan

The $\Lambda$CDM model provides an excellent fit to the CMB data. However, a statistically significant tension emerges when its determination of the Hubble constant $H_0$ is compared to the local distance-redshift measurements. The…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-01 Leo WH Fung , Lingfeng Li , Tao Liu , Hoang Nhan Luu , Yu-Cheng Qiu , S. -H. Henry Tye

Models of dark energy or modified gravity that tries to alleviate the tensions on the Hubble constant ($H_0$) and the matter fluctuation parameter ($\sigma_8$) are usually parameterized as function of either late or early time cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-05 Ziad Sakr

The $\Lambda$CDM model successfully explains a wide range of cosmological observations; however, persistent discrepancies most notably the $H_0$ tension between early and late time measurements challenge its completeness. No proposed…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-31 Upala Mukhopadhyay , Purba Mukherjee , Alexandre Tkatchenko

The discrepancy between Planck data and direct measurements of the current expansion rate $H_0$ and the matter fluctuation amplitude $S_8$ has become one of the most intriguing puzzles in cosmology nowadays. The $H_0$ tension has reached…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-28 Safae Dahmani , Amine Bouali , Imad El Bojaddaini , Ahmed Errahmani , Taoufik Ouali

The parameter $S_8$, a key probe of cosmic structure growth, exhibits a persistent $\sim3\sigma$ tension between high-redshift measurements from cosmic microwave background (CMB) anisotropies and low-redshift weak gravitational lensing…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Jin Qin , Xue-Bing Wu , Yuming Fu , Haojie Xu , Yuxuan Pang , Yun-Hao Zhang , Pengjie Zhang

A well-known problem of the $\Lambda$CDM model is the tension between the relatively high level of clustering, as quantified by the parameter $\sigma_8$, found in cosmic microwave background experiments and the smaller one obtained from…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-04 Bruno J. Barros , Luca Amendola , Tiago Barreiro , Nelson J. Nunes

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…

We develop a new phenomenological model that addresses current tensions between observations of the early and late Universe. Our scenario features: (i) a decaying dark energy fluid (DDE), which undergoes a transition at $z \sim 5,000$, to…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-20 Itamar J. Allali , Mark P. Hertzberg , Fabrizio Rompineve

Recent observations from weak gravitational lensing (WL) surveys indicate a smoother Universe compared to the predictions of the Cosmic Microwave Background (CMB). This inconsistency is commonly referred to as the $\sigma_8$ tension or…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 Xingpao Suo , Xi Kang , Huanyuan Shan

The $\Lambda$CDM prediction of $S_8\equiv\sigma_8(\Omega_m/0.3)^{0.5}$ -- where $\sigma_8$ is the root mean square of matter fluctuations on a 8 $h^{-1}$Mpc scale -- once calibrated on Planck CMB data is $2-3\sigma$ lower than its direct…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-05 Subinoy Das , Anshuman Maharana , Vivian Poulin , Ravi Kumar Sharma

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…

Several cosmological tensions have emerged in light of recent data, most notably in the inferences of the parameters $H_0$ and $\sigma_8$. We explore the possibility of alleviating both these tensions {\it simultaneously} by means of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 Arsalan Adil , Andreas Albrecht , Lloyd Knox