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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

$H_0$ tension in the spatially flat $\Lambda$CDM model is reevaluated by employing three sets of non-Planck CMB data, namely WMAP, WMAP+ACT, and WMAP+SPT, in conjunction with DESI BAO data and non-DESI BAO datasets including 6dFGS, SDSS…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-22 Ye-Huang Pang , Xue Zhang , Qing-Guo Huang

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

Recent measurements of the parameters of the Concordance Cosmology Model ($\Lambda$CDM) done in the low-redshift Universe with Supernovae Ia/Cepheids, and in the distant Universe done with Cosmic Microwave Background (CMB) imply different…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 B. Czerny , M. L. Martínez-Aldama , G. Wojtkowska , M. Zajaček , P. Marziani , D. Dultzin , M. H. Naddaf , S. Panda , R. Prince , R. Przyluski , M. Ralowski , M. Śniegowska

We wish to investigate whether there is an extension to the base $\Lambda$CDM cosmology that can resolve the tension between the Planck observation of the cosmic microwave background anisotropies and the local measurement of the Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-28 Rui-Yun Guo , Jing-Fei Zhang , Xin Zhang

We provide a new interpretation for the Bayes factor combination used in the Dark Energy Survey (DES) first year analysis to quantify the tension between the DES and Planck datasets. The ratio quantifies a Bayesian confidence in our ability…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-26 Will Handley , Pablo Lemos

We explore the renormalization group-based extension of the $\Lambda$CDM model as a potential solution to the current cosmological tensions. In this approach, both the cosmological constant density and Newton's constant are allowed to vary…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-30 Nicolas R. Bertini , Marcos H. Novaes , Rodrigo von Marttens , Ilya L. Shapiro

As wide-field surveys yield increasingly precise data, multiprobe analyses offer significant advantages. In this work, we use our previously developed framework for jointly analyzing cosmic microwave background (CMB) and large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-01 Alexander Reeves , Andrina Nicola , Alexandre Refregier

Measurements of the current expansion rate of the Universe, $H_0$, using standard candles, disagree with those derived from observations of the Cosmic Microwave Background (CMB). This discrepancy, known as the Hubble tension, is substantial…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-05 Sergio Torres-Arzayus

The standard model of cosmology has provided a good phenomenological description of a wide range of observations both at astrophysical and cosmological scales for several decades. This concordance model is constructed by a universal…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Eleonora Di Valentino , Jackson Levi Said , Adam Riess , Agnieszka Pollo , Vivian Poulin , Adrià Gómez-Valent , Amanda Weltman , Antonella Palmese , Caroline D. Huang , Carsten van de Bruck , Chandra Shekhar Saraf , Cheng-Yu Kuo , Cora Uhlemann , Daniela Grandón , Dante Paz , Dominique Eckert , Elsa M. Teixeira , Emmanuel N. Saridakis , Eoin Ó Colgáin , Florian Beutler , Florian Niedermann , Francesco Bajardi , Gabriela Barenboim , Giulia Gubitosi , Ilaria Musella , Indranil Banik , Istvan Szapudi , Jack Singal , Jaume Haro Cases , Jens Chluba , Jesús Torrado , Jurgen Mifsud , Karsten Jedamzik , Khaled Said , Konstantinos Dialektopoulos , Laura Herold , Leandros Perivolaropoulos , Lei Zu , Lluís Galbany , Louise Breuval , Luca Visinelli , Luis A. Escamilla , Luis A. Anchordoqui , M. M. Sheikh-Jabbari , Margherita Lembo , Maria Giovanna Dainotti , Maria Vincenzi , Marika Asgari , Martina Gerbino , Matteo Forconi , Michele Cantiello , Michele Moresco , Micol Benetti , Nils Schöneberg , Özgür Akarsu , Rafael C. Nunes , Reginald Christian Bernardo , Ricardo Chávez , Richard I. Anderson , Richard Watkins , Salvatore Capozziello , Siyang Li , Sunny Vagnozzi , Supriya Pan , Tommaso Treu , Vid Irsic , Will Handley , William Giarè , Yukei Murakami , Adèle Poudou , Alan Heavens , Alan Kogut , Alba Domi , Aleksander Łukasz Lenart , Alessandro Melchiorri , Alessandro Vadalà , Alexandra Amon , Alexander Bonilla , Alexander Reeves , Alexander Zhuk , Alfio Bonanno , Ali Övgün , Alice Pisani , Alireza Talebian , Amare Abebe , Amin Aboubrahim , Ana Luisa González Morán , András Kovács , Andreas Papatriantafyllou , Andrew R. Liddle , Andreas Lymperis , Andronikos Paliathanasis , Andrzej Borowiec , Anil Kumar Yadav , Anita Yadav , Anjan Ananda Sen , Anjitha John William Mini Latha , Anne Christine Davis , Anowar J. Shajib , Anthony Walters , Anto Idicherian Lonappan , Anton Chudaykin , Antonio Capodagli , Antonio da Silva , Antonio De Felice , Antonio Racioppi , Araceli Soler Oficial , Ariadna Montiel , Arianna Favale , Armando Bernui , Arrianne Crystal Velasco , Asta Heinesen , Athanasios Bakopoulos , Athanasios Chatzistavrakidis , Bahman Khanpour , Bangalore S. Sathyaprakash , Bartek Zgirski , Benjamin L'Huillier , Benoit Famaey , Bhuvnesh Jain , Biesiada Marek , Bing Zhang , Biswajit Karmakar , Branko Dragovich , Brooks Thomas , Carlos Correa , Carlos G. Boiza , Catarina Marques , Celia Escamilla-Rivera , Charalampos Tzerefos , Chi Zhang , Chiara De Leo , Christian Pfeifer , Christine Lee , Christo Venter , Cláudio Gomes , Clecio Roque De bom , Cristian Moreno-Pulido , Damianos Iosifidis , Dan Grin , Daniel Blixt , Dan Scolnic , Daniele Oriti , Daria Dobrycheva , Dario Bettoni , David Benisty , David Fernández-Arenas , David L. Wiltshire , David Sanchez Cid , David Tamayo , David Valls-Gabaud , Davide Pedrotti , Deng Wang , Denitsa Staicova , Despoina Totolou , Diego Rubiera-Garcia , Dinko Milaković , Dom Pesce , Dominique Sluse , Duško Borka , Ebrahim Yusofi , Elena Giusarma , Elena Terlevich , Elena Tomasetti , Elias C. Vagenas , Elisa Fazzari , Elisa G. M. Ferreira , Elvis Barakovic , Emanuela Dimastrogiovanni , Emil Brinch Holm , Emil Mottola , Emre Özülker , Enrico Specogna , Enzo Brocato , Erik Jensko , Erika Antonette Enriquez , Esha Bhatia , Fabio Bresolin , Felipe Avila , Filippo Bouchè , Flavio Bombacigno , Fotios K. Anagnostopoulos , Francesco Pace , Francesco Sorrenti , Francisco S. N. Lobo , Frédéric Courbin , Frode K. Hansen , Greg Sloan , Gabriel Farrugia , Gabriel Lynch , Gabriela Garcia-Arroyo , Gabriella Raimondo , Gaetano Lambiase , Gagandeep S. Anand , Gaspard Poulot , Genly Leon , Gerasimos Kouniatalis , Germano Nardini , Géza Csörnyei , Giacomo Galloni , Giada Bargiacchi , Giannis Papagiannopoulos , Giovanni Montani , Giovanni Otalora , Giulia De Somma , Giuliana Fiorentino , Giuseppe Fanizza , Giuseppe Gaetano Luciano , Giuseppe Sarracino , Gonzalo J. Olmo , Goran S. Djordjević , Guadalupe Cañas-Herrera , Hanyu Cheng , Harry Desmond , Hassan Abdalla , Houzun Chen , Hsu-Wen Chiang , Hume A. Feldman , Hussain Gohar , Ido Ben-Dayan , Ignacio Sevilla-Noarbe , Ignatios Antoniadis , Ilim Cimdiker , Inês S. Albuquerque , Ioannis D. Gialamas , Ippocratis Saltas , Iryna Vavilova , Isidro Gómez-Vargas , Ismael Ayuso , Ismailov Nariman Zeynalabdi , Ivan De Martino , Ivonne Zavala , J. Alberto Vázquez , Jacobo Asorey , Janusz Gluza , Javier Rubio , Jenny G. Sorce , Jenny Wagner , Jeremy Sakstein , Jessica Santiago , Jim Braatz , Joan Solà Peracaula , John Blakeslee , John Webb , Jose A. R. Cembranos , José Pedro Mimoso , Joseph Jensen , Juan García-Bellido , Judit Prat , Kathleen Sammut , Kay Lehnert , Keith R. Dienes , Kishan Deka , Konrad Kuijken , Krishna Naidoo , László Árpád Gergely , Laur Järv , Laura Mersini-Houghton , Leila L. Graef , Léo Vacher , Levon Pogosian , Lilia Anguelova , Lindita Hamolli , Lu Yin , Luca Caloni , Luca Izzo , Lucas Macri , Luis E. Padilla , Luz Ángela García , Maciej Bilicki , Mahdi Najafi , Manolis Plionis , Manuel Gonzalez-Espinoza , Manuel Hohmann , Marcel A. van der Westhuizen , Marcella Marconi , Marcin Postolak , Marco de Cesare , Marco Regis , Marek Biesiada , Maret Einasto , Margus Saal , Maria Caruana , Maria Petronikolou , Mariam Bouhmadi-López , Mariana Melo , Mariaveronica De Angelis , Marie-Noëlle Célérier , Marina Cortês , Mark Reid , Markus Michael Rau , Martin S. Sloth , Martti Raidal , Masahiro Takada , Masoume Reyhani , Massimiliano Romanello , Massimo Marengo , Mathias Garny , Matías Leizerovich , Matteo Martinelli , Matteo Tagliazucchi , Mehmet Demirci , Miguel A. S. Pinto , Miguel A. Sabogal , Miguel A. García-Aspeitia , Milan Milošević , Mina Ghodsi , Mustapha Ishak , Nelson J. Nunes , Nick Samaras , Nico Hamaus , Nico Schuster , Nicola Borghi , Nicola Deiosso , Nicola Tamanini , Nicolao Fornengo , Nihan Katırcı , Nikolaos E. Mavromatos , Nicholas Petropoulos , Nikolina Šarčević , Nils A. Nilsson , Noemi Frusciante , Octavian Postavaru , Oem Trivedi , Oleksii Sokoliuk , Olga Mena , Paloma Morilla , Paolo Campeti , Paolo Salucci , Paula Boubel , Paweł Bielewicz , Pekka Heinämäki , Petar Suman , Petros Asimakis , Pierros Ntelis , Pilar Ruiz-Lapuente , Pran Nath , Predrag Jovanović , Purba Mukherjee , Radosław Wojtak , Rafaela Gsponer , Rafid H. Dejrah , Rahul Shah , Rasmi Hajjar , Rebecca Briffa , Rebecca Habas , Reggie C. Pantig , Renier Mendoza , Riccardo Della Monica , Richard Stiskalek , Rishav Roshan , Rita B. Neves , Roberto Molinaro , Roberto Terlevich , Rocco D'Agostino , Rodrigo Sandoval-Orozco , Ronaldo C. Batista , Ruchika Kaushik , Ruth Lazkoz , Saeed Rastgoo , Sahar Mohammadi , Salvatore Samuele Sirletti , Sandeep Haridasu , Sanjay Mandal , Saurya Das , Sebastian Bahamonde , Sebastian Grandis , Sebastian Trojanowski , Sergei D. Odintsov , Sergij Mazurenko , Shahab Joudaki , Sherry H. Suyu , Shouvik Roy Choudhury , Shruti Bhatporia , Shun-Sheng Li , Simeon Bird , Simon Birrer , Simone Paradiso , Simony Santos da Costa , Sofia Contarini , Sophie Henrot-Versillé , Spyros Basilakos , Stefano Casertano , Stefano Gariazzo , Stylianos A. Tsilioukas , Surajit Kalita , Suresh Kumar , Susana J. Landau , Sveva Castello , Swayamtrupta Panda , Tanja Petrushevska , Thanasis Karakasis , Thejs Brinckmann , Tiago B. Gonçalves , Tiziano Schiavone , Tom Abel , Tomi Koivisto , Torsten Bringmann , Umut Demirbozan , Utkarsh Kumar , Valerio Marra , Maurice H. P. M. van Putten , Vasileios Kalaitzidis , Vasiliki A. Mitsou , Vasilios Zarikas , Vedad Pasic , Venus Keus , Verónica Motta , Vesna Borka Jovanović , Víctor H. Cárdenas , Vincenzo Ripepi , Vincenzo Salzano , Violetta Impellizzeri , Vitor da Fonseca , Vittorio Ghirardini , Vladas Vansevičius , Weiqiang Yang , Wojciech Hellwing , Xin Ren , Yu-Min Hu , Yuejia Zhai , Abdul Malik Sultan , Adrienn Pataki , Alessandro Santoni , Aliya Batool , Aneta Wojnar , Arman Tursunov , Avik De , Ayush Hazarika , Baojiu Li , Benjamin Bose , Bivudutta Mishra , Bobomurat Ahmedov , Chandra Shekhar Saraf , Claudia Scóccola , Crescenzo Tortora , D'Arcy Kenworthy , Daniel E. Holz , David F. Mota , David S. Pereira , Devon M. Williams , Dillon Brout , Dong Ha Lee , Eduardo Guendelman , Edward Olex , Emanuelly Silva , Emre Onur Kahya , Enzo Brocato , Eva-Maria Mueller , Felipe Andrade-Oliveira , Feven Markos Hunde , F. R. Joaquim , Florian Pacaud , Francis-Yan Cyr-Racine , Pozo Nuñez , F. Gábor Rácz , Gene Carlo Belinario , Geraint F. Lewis , Gergely Dálya , Giorgio Laverda , Guido Risaliti , Guillermo Franco-Abellán , Hayden Zammit , Hayley Camilleri , Helene M. Courtois , Hooman Moradpour , Igor de Oliveira Cardoso Pedreira , Ilí dio Lopes , István Csabai , James W. Rohlf , J. Bogdanoska , Javier de Cruz Pérez , Joan Bachs-Esteban , Joseph Sultana , Julien Lesgourgues , Jun-Qian Jiang , Karem Peñaló Castillo , Kimet Jusufi , Lavinia Heisenberg , Laxmipriya Pati , Léon V. E. Koopmans , Lokesh kumar Duchaniya , Lucas Lombriser , Mahdieh Gol Bashmani Moghadam , María Pérez Garrote , Mariano Domínguez , Marine Samsonyan , Mark Pace , Martin Krššák , Masroor C. Pookkillath , Matteo Peronaci , Matteo Piani , Matthildi Raftogianni , Meet J. Vyas , Melina Michalopoulou , Merab Gogberashvili , Michael Klasen , Michele Cicoli , Michele Moresco , Miguel Quartin , Miguel Zumalacárregui , Milan S. Dimitrijević , Milos Dordevic , Mindaugas Karčiauskas , Morgan Le Delliou , Nastassia Grimm , Nicolás Augusto Kozameh , Nicoleta Voicu , Nicolina Pop , Nikos Chatzifotis , Oliver Fabio Piattella , Paula Boubel , Pedro da Silveira Ferreira , Péter Raffai , Peter Schupp , Pierros Ntelis , Pradyumn Kumar Sahoo , Roberto V. Maluf , Ruth Durrer , S. A. Kadam , Sabino Matarrese , Samuel Brieden , Santiago González-Gaitán , Santosh V. Lohakare , Scott Watson , Shao-Jiang Wang , Simão Marques Nunes , Soumya Chakrabarti , Suvodip Mukherjee , Tajron Jurić , Tessa Baker , Theodoros Nakas , Tiago Barreiro , Upala Mukhopadhyay , Veljko Vujčić , Violetta Sagun , Vladimir A. Srećković , Wangzheng Zhang , Yo Toda , Yun-Song Piao , Zahra Davari

The distance ladder using supernovae yields higher values of the Hubble constant $H_0$ than those inferred from measurements of the cosmic microwave background (CMB) and galaxy surveys, a discrepancy that has come to be known as the `Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-27 José Luis Bernal , Licia Verde , Raul Jimenez , Marc Kamionkowski , David Valcin , Benjamin D. Wandelt

The accelerating expansion of the universe is the most surprising cosmological discovery in many decades. In this short review, we briefly summarize theories for the origin of cosmic acceleration and the observational methods being used to…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-03 Michael J. Mortonson , David H. Weinberg , Martin White

To further shed light on whether pre-recombination models can resolve the Hubble tension, we explore constraints on the cosmic background evolution that are insensitive to early-universe physics. The analysis of the cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Weikang Lin , Xingang Chen , Katherine J. Mack

Current measurements of the low and high redshift Universe are in tension if we restrict ourselves to the standard six parameter model of flat $\Lambda$CDM. This tension has two parts. First, the Planck satellite data suggest a higher…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-10 Mark Wyman , Douglas H. Rudd , R. Ali Vanderveld , Wayne Hu

Recent results from Type Ia Supernovae (SNe), baryon acoustic oscillations (BAO), and the cosmic microwave background (CMB) indicate 1) potentially discrepant measurements of the matter density $\Omega_m$ and Hubble constant $ H_0 $ in…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Xianzhe TZ Tang , Dillon Brout , Tanvi Karwal , Chihway Chang , Vivian Miranda , Maria Vincenzi

The $\Lambda$ cold dark matter ($\Lambda$CDM) cosmological model provides a good description of a wide range of astrophysical and cosmological observations. However, severe challenges to the phenomenological $\Lambda$CDM model have emerged…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-10 X. D. Jia , J. P. Hu , D. H. Gao , S. X. Yi , F. Y. Wang

The standard $\Lambda$CDM model of cosmology is largely successful in describing many observations, including precise measurements of the Cosmic Microwave Background (CMB) radiation. However, some intriguing anomalies remain currently…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-13 William Giarè

Recent cosmological tensions pose difficulties for $\Lambda$CDM. Forthcoming facilities will be able to check whether these tensions result from systematic effects or indeed with the $\Lambda$CDM model itself. However, these new data will…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-12 Dinko Milaković , John K. Webb

The disagreement between direct late-time measurements of the Hubble constant from the SH0ES collaboration, and early-universe measurements based on the $\Lambda$CDM model from the Planck collaboration might, at least in principle, be…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-02 Guido D'Amico , Leonardo Senatore , Pierre Zhang , Henry Zheng

Discrepancy between the measurements of Hubble constant $H_{0}$ from the cosmic microwave background (CMB) and the local distance ladder is the most serious challenge to the standard $\Lambda$CDM model. Recent researches point out that it…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 J. P. Hu , X. D. Jia , J. Hu , F. Y. Wang