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We introduce a novel estimator to quantify statistical tensions among multiple cosmological datasets simultaneously. This estimator generalizes the Difference-in-Means statistic, $Q_{\rm DM}$, to the multi-dataset regime. Our framework…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 Matías Leizerovich , Susana J. Landau , Claudia G. Scóccola

Statistically-significant differences in the value of the Hubble parameter are found depending on the measurement method that is used, a result known as the Hubble tension. A variety of ways of comparing, grouping, and excluding…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Thomas Hughes , Michael J. Wilensky , Philip Bull

Cosmology has entered an era of unprecedented precision, yet increasing accuracy has revealed cracks in the standard $\Lambda$CDM paradigm. Although the model remains highly successful when confronted with individual datasets, joint…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-06 Eleonora Di Valentino

Recent local measurements of the Hubble constant made using supernovae have delivered a value that differs by $\sim$5$\sigma$ (statistical error) from predictions using the Cosmic Microwave Background (CMB), or using Baryon Acoustic…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 Zhongxu Zhai , Will J. Percival

We construct data-driven solutions to the Hubble tension which are perturbative modifications to the fiducial $\Lambda$CDM cosmology, using the Fisher bias formalism. Taking as proof of principle the case of a time-varying electron mass and…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Nanoom Lee , Yacine Ali-Haïmoud , Nils Schöneberg , Vivian Poulin

Recent cosmological data reveal tension between parameters inferred from measurements of the cosmic microwave background (CMB), baryon acoustic oscillations (BAO), and supernovae (SN) under $\Lambda$CDM. Typical dynamical dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Tanisha Jhaveri , Tanvi Karwal , Thomas Crawford , Wayne Hu , Ali Rida Khalife , Lennart Balkenhol , Fei Ge

The standard model of cosmology, the $\Lambda$CDM model, describes the evolution of the Universe since the Big Bang with just a few parameters, six in its basic form. Despite being the simplest model, direct late-time measurements of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Lavinia Heisenberg , Hector Villarrubia-Rojo

Summary statistics of the likelihood, such as the Bayesian evidence, offer a principled way of comparing models and assessing tension between, or within, the results of physical experiments. Noisy realisations of the data induce scatter in…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-30 B. Joachimi , F. Köhlinger , W. Handley , P. Lemos

The longstanding search for the cosmological model that best describes the Universe has been made more intriguing since the recent discovery of the Hubble constant, $H_{0}$, tension observed between the value of $H_{0}$ from the Cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-09 G. Bargiacchi , M. G. Dainotti , S. Capozziello

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…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Weikang Lin , Katherine J. Mack , Liqiang Hou

The Universe may feature large-scale inhomogeneities beyond the standard paradigm, implying that statistical homogeneity and isotropy may be reached only on much larger scales than the usually assumed $\sim$100 Mpc. This means that we are…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-05 David Camarena , Valerio Marra , Ziad Sakr , Chris Clarkson

Quantifying tensions -- inconsistencies amongst measurements of cosmological parameters by different experiments -- has emerged as a crucial part of modern cosmological data analysis. Statistically-significant tensions between two…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 P. Lemos , M. Raveri , A. Campos , Y. Park , C. Chang , N. Weaverdyck , D. Huterer , A. R. Liddle , J. Blazek , R. Cawthon , A. Choi , J. DeRose , S. Dodelson , C. Doux , M. Gatti , D. Gruen , I. Harrison , E. Krause , O. Lahav , N. MacCrann , J. Muir , J. Prat , M. M. Rau , R. P. Rollins , S. Samuroff , J. Zuntz , W. G. Hartley , B. Hoyle , I. Sevilla-Noarbe , M. A. Troxel , M. Aguena , S. Allam , J. Annis , S. Avila , D. Bacon , G. M. Bernstein , E. Bertin , D. Brooks , D. L. Burke , A. Carnero Rosell , M. Carrasco Kind , J. Carretero , C. Conselice , M. Costanzi , M. Crocce , M. E. S. Pereira , J. De Vicente , S. Desai , H. T. Diehl , P. Doel , K. Eckert , T. F. Eifler , J. Elvin-Poole , S. Everett , A. E. Evrard , I. Ferrero , A. Ferté , B. Flaugher , P. Fosalba , J. Frieman , J. García-Bellido , E. Gaztanaga , D. W. Gerdes , T. Giannantonio , R. A. Gruendl , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , E. M. Huff , D. J. James , M. Jarvis , M. Lima , M. A. G. Maia , M. March , J. L. Marshall , P. Martini , P. Melchior , F. Menanteau , R. Miquel , J. J. Mohr , R. Morgan , J. Myles , R. L. C. Ogando , A. Palmese , S. Pandey , F. Paz-Chinchón , A. A. Plazas , M. Rodriguez-Monroy , A. Roodman , E. Sanchez , V. Scarpine , M. Schubnell , L. F. Secco , S. Serrano , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , T. N. Varga , J. Weller , W. Wester

The Hubble constant ($H_0$) estimated from the local Cepheid-supernova (SN) distance ladder is in 3-$\sigma$ tension with the value extrapolated from cosmic microwave background (CMB) data assuming the standard cosmological model. Whether…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Stephen M. Feeney , Hiranya V. Peiris , Andrew R. Williamson , Samaya M. Nissanke , Daniel J. Mortlock , Justin Alsing , Dan Scolnic

A potential solution to the Hubble tension is the hypothesis that the Milky Way is located near the center of a matter underdensity. We model this scenario through the Lema\^itre-Tolman-Bondi formalism with the inclusion of a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-07 Sveva Castello , Marcus Högås , Edvard Mörtsell

Hubble tension and the search for preferred direction are two crucial unresolved issues in modern cosmology. Different measurements of the Hubble constant provide significantly different values, and this is known as the Hubble tension. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-01 Rahul Kumar Thakur , Meghendra Singh , Shashikant Gupta , Rahul Nigam

Standard cosmology has long been plagued by a number of persistent problems. The origin of the apparent acceleration of the cosmic expansion remains enigmatic. The cosmological constant has been reintroduced as a free parameter with a value…

General Physics · Physics 2023-02-28 Jan O. Stenflo

Despite the great observational success of the standard cosmological model some discrepancies in the inferred parameter constraints have manifested among a number of cosmological data sets. These include a tension between the expansion rate…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Benjamin Bose , Lucas Lombriser

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

An intriguing discrepancy emerging in the concordance model of cosmology is the tension between the locally measured value of the Hubble rate, and the 'global' value inferred from the cosmic microwave background (CMB). This could be due to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Vinicius C. Busti , Chris Clarkson , Marina Seikel

Recent DESI DR2 baryon acoustic oscillation (BAO) measurement shows inconsistency with the cosmic microwave background (CMB) observation in $\Lambda$CDM. We used the Bayesian suspiciousness and goodness-of-fit tension metrics to quantify…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Gen Ye , Shi-Jie Lin