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We employ Bayesian Model Averaging (BMA) as a powerful statistical framework to address key cosmological questions about the universe's fundamental properties. We explore extensions beyond the standard $\Lambda$CDM model, considering a…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-08 S. Paradiso , G. McGee , W. J. Percival

We use Bayesian model comparison to determine whether extensions to Standard-Model neutrino physics -- primarily additional effective numbers of neutrinos and/or massive neutrinos -- are merited by the latest cosmological data. Given the…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-13 Licia Verde , Stephen M. Feeney , Daniel J. Mortlock , Hiranya V. Peiris

We use Bayesian model selection techniques to test extensions of the standard flat LambdaCDM paradigm. Dark-energy and curvature scenarios, and primordial perturbation models are considered. To that end, we calculate the Bayesian evidence…

Cosmological constraints are usually derived under the assumption of a $6$ parameters $\Lambda$-CDM theoretical framework or simple one-parameter extensions. In this paper we present, for the first time, cosmological constraints in a…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-30 Eleonora Di Valentino , Alessandro Melchiorri , Joseph Silk

Since the B-mode polarization of the cosmic microwave background (CMB) was detected by the BICEP2 experiment and an unexpectedly large tensor-to-scalar ratio, $r=0.20^{+0.07}_{-0.05}$, was found, the base standard cosmology should at least…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-22 Jing-Fei Zhang , Yun-He Li , Xin Zhang

We present the first results based on Planck measurements of the CMB temperature and lensing-potential power spectra. The Planck spectra at high multipoles are extremely well described by the standard spatially-flat six-parameter LCDM…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Planck Collaboration , P. A. R. Ade , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , B. Cappellini , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , R. -R. Chary , X. Chen , H. C. Chiang , L. -Y Chiang , P. R. Christensen , S. Church , D. L. Clements , S. Colombi , L. P. L. Colombo , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , F. -X. Désert , C. Dickinson , J. M. Diego , K. Dolag , H. Dole , S. Donzelli , O. Doré , M. Douspis , J. Dunkley , X. Dupac , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , T. C. Gaier , S. Galeotta , S. Galli , K. Ganga , M. Giard , G. Giardino , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , J. Haissinski , J. Hamann , F. K. Hansen , D. Hanson , D. Harrison , S. Henrot-Versillé , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , Z. Hou , W. Hovest , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , J. Jewell , W. C. Jones , M. Juvela , E. Keihänen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , R. J. Laureijs , C. R. Lawrence , S. Leach , J. P. Leahy , R. Leonardi , J. León-Tavares , J. Lesgourgues , A. Lewis , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , D. Maino , N. Mandolesi , M. Maris , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , M. Massardi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , J. -B. Melin , L. Mendes , E. Menegoni , A. Mennella , M. Migliaccio , M. Millea , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , I. J. O'Dwyer , S. Osborne , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , D. Pearson , T. J. Pearson , H. V. Peiris , O. Perdereau , L. Perotto , F. Perrotta , V. Pettorino , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , P. Platania , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , J. P. Rachen , W. T. Reach , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , S. Ricciardi , T. Riller , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , M. Rowan-Robinson , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , F. Sureau , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , M. Türler , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , I. K. Wehus , M. White , S. D. M. White , A. Wilkinson , D. Yvon , A. Zacchei , A. Zonca

The standard cosmological model, LCDM, provides an excellent fit to Cosmic Microwave Background (CMB) data. However, the model has well known problems. For example, the cosmological constant, is fine-tuned to 1 part in 10^100 and the cold…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 T. Shanks , R. W. F. Johnson , J. A. Schewtschenko , J. R. Whitbourn

We present a unified Bayesian assessment of model comparison and data-set consistency for LCDM (cold dark matter plus a cosmological constant) and minimal extensions (neutrino mass, spatial curvature, constant or evolving dark energy) using…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-09 Lukas Tobias Hergt , Sophie Henrot-Versillé , Matthieu Tristram , Douglas Scott

Most dark energy models have the $\Lambda$CDM as their limit, and if future observations constrain our universe to be close to $\Lambda$CDM Bayesian arguments about the evidence and the fine-tuning will have to be employed to discriminate…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-27 Olga Avsajanishvili , Yiwen Huang , Lado Samushia , Tina Kahniashvili

We present cosmological parameter results from the final full-mission Planck measurements of the CMB anisotropies. We find good consistency with the standard spatially-flat 6-parameter $\Lambda$CDM cosmology having a power-law spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-10 Planck Collaboration , N. Aghanim , Y. Akrami , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , R. Battye , K. Benabed , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , J. Carron , A. Challinor , H. C. Chiang , J. Chluba , L. P. L. Colombo , C. Combet , D. Contreras , B. P. Crill , F. Cuttaia , P. de Bernardis , G. de Zotti , J. Delabrouille , J. -M. Delouis , E. Di Valentino , J. M. Diego , O. Doré , M. Douspis , A. Ducout , X. Dupac , S. Dusini , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , Y. Fantaye , M. Farhang , J. Fergusson , R. Fernandez-Cobos , F. Finelli , F. Forastieri , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frolov , S. Galeotta , S. Galli , K. Ganga , R. T. Génova-Santos , M. Gerbino , T. Ghosh , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gruppuso , J. E. Gudmundsson , J. Hamann , W. Handley , F. K. Hansen , D. Herranz , S. R. Hildebrandt , E. Hivon , Z. Huang , A. H. Jaffe , W. C. Jones , A. Karakci , E. Keihänen , R. Keskitalo , K. Kiiveri , J. Kim , T. S. Kisner , L. Knox , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , P. Lemos , J. Lesgourgues , F. Levrier , A. Lewis , M. Liguori , P. B. Lilje , M. Lilley , V. Lindholm , M. López-Caniego , P. M. Lubin , Y. -Z. Ma , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , A. Marcos-Caballero , M. Maris , P. G. Martin , M. Martinelli , E. Martínez-González , S. Matarrese , N. Mauri , J. D. McEwen , P. R. Meinhold , A. Melchiorri , A. Mennella , M. Migliaccio , M. Millea , S. Mitra , M. -A. Miville-Deschênes , D. Molinari , L. Montier , G. Morgante , A. Moss , P. Natoli , H. U. Nørgaard-Nielsen , L. Pagano , D. Paoletti , B. Partridge , G. Patanchon , H. V. Peiris , F. Perrotta , V. Pettorino , F. Piacentini , L. Polastri , G. Polenta , J. -L. Puget , J. P. Rachen , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , C. Rosset , G. Roudier , J. A. Rubiño-Martín , B. Ruiz-Granados , L. Salvati , M. Sandri , M. Savelainen , D. Scott , E. P. S. Shellard , C. Sirignano , G. Sirri , L. D. Spencer , R. Sunyaev , A. -S. Suur-Uski , J. A. Tauber , D. Tavagnacco , M. Tenti , L. Toffolatti , M. Tomasi , T. Trombetti , L. Valenziano , J. Valiviita , B. Van Tent , L. Vibert , P. Vielva , F. Villa , N. Vittorio , B. D. Wandelt , I. K. Wehus , M. White , S. D. M. White , A. Zacchei , A. Zonca

We investigate cosmological parameter inference and model selection from a Bayesian perspective. Type Ia supernova data from the Dark Energy Survey (DES-SN5YR) are used to test the $\Lambda$CDM, $w$CDM, and CPL cosmological models.…

Applications · Statistics 2025-12-12 Nikoloz Gigiberia

We study the performance of three pairs of tilted $\Lambda$CDM cosmological models, two pairs allowing for non-flat spatial hypersurfaces with CMB temperature and polarization power spectrum data (P18) from Planck, P18 lensing (lensing),…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 Javier de Cruz Perez , Chan-Gyung Park , Bharat Ratra

Recent measurements of the Cosmic Microwave Background (CMB) by the Planck Collaboration have produced arguably the most powerful observational evidence in support of the standard model of cosmology, i.e. the spatially flat $\Lambda$CDM…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-10 S. Grandis , D. Rapetti , A. Saro , J. J. Mohr , J. P. Dietrich

We consider cosmic chronometer (CC) data for the Hubble parameter, quasar (QSO) luminosities data of X-rays and ultraviolet rays emission, and the latest measurements of the present value of the Hubble parameter from 2018 Planck mission…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 Bikash R. Dinda , Haveesh Singirikonda , Subhabrata Majumdar

We use updated Hubble parameter and baryon acoustic oscillation data, as well as other lower-redshift Type Ia supernova, Mg II reverberation-measured quasar, quasar angular size, H II starburst galaxy, and Amati-correlated gamma-ray burst…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 Shulei Cao , Bharat Ratra

We present constraints on extensions to the flat $\Lambda$CDM cosmological model by varying the spatial curvature $\Omega_K$, the sum of the neutrino masses $\sum m_\nu$, the dark energy equation of state parameter $w$, and the Hu-Sawicki…

We use the physically-consistent tilted spatially-flat and untilted non-flat $\Lambda$CDM inflation models to constrain cosmological parameter values with the Planck 2015 cosmic microwave background (CMB) anisotropy data and recent Type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-19 Chan-Gyung Park , Bharat Ratra

The standard model of cosmology, {\Lambda}CDM, is the simplest model that matches the current observations, but it relies on two hypothetical components, to wit, dark matter and dark energy. Future galaxy surveys and cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-13 Cyrille Doux , Mariana Penna-Lima , Sandro D. P. Vitenti , Julien Tréguer , Eric Aubourg , Ken Ganga

We use new cosmic microwave background (CMB) primary temperature and polarization anisotropy measurements from the Atacama Cosmology Telescope (ACT) Data Release 6 (DR6) to test foundational assumptions of the standard cosmological model…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-25 Erminia Calabrese , J. Colin Hill , Hidde T. Jense , Adrien La Posta , Irene Abril-Cabezas , Graeme E. Addison , Peter A. R. Ade , Simone Aiola , Tommy Alford , David Alonso , Mandana Amiri , Rui An , Zachary Atkins , Jason E. Austermann , Eleonora Barbavara , Nicola Barbieri , Nicholas Battaglia , Elia Stefano Battistelli , James A. Beall , Rachel Bean , Ali Beheshti , Benjamin Beringue , Tanay Bhandarkar , Emily Biermann , Boris Bolliet , J Richard Bond , Valentina Capalbo , Felipe Carrero , Shi-Fan Chen , Grace Chesmore , Hsiao-mei Cho , Steve K. Choi , Susan E. Clark , Nicholas F. Cothard , Kevin Coughlin , William Coulton , Devin Crichton , Kevin T. Crowley , Omar Darwish , Mark J. Devlin , Simon Dicker , Cody J. Duell , Shannon M. Duff , Adriaan J. Duivenvoorden , Jo Dunkley , Rolando Dunner , Carmen Embil Villagra , Max Fankhanel , Gerrit S. Farren , Simone Ferraro , Allen Foster , Rodrigo Freundt , Brittany Fuzia , Patricio A. Gallardo , Xavier Garrido , Martina Gerbino , Serena Giardiello , Ajay Gill , Jahmour Givans , Vera Gluscevic , Samuel Goldstein , Joseph E. Golec , Yulin Gong , Yilun Guan , Mark Halpern , Ian Harrison , Matthew Hasselfield , Adam He , Erin Healy , Shawn Henderson , Brandon Hensley , Carlos Hervías-Caimapo , Gene C. Hilton , Matt Hilton , Adam D. Hincks , Renée Hložek , Shuay-Pwu Patty Ho , John Hood , Erika Hornecker , Zachary B. Huber , Johannes Hubmayr , Kevin M. Huffenberger , John P. Hughes , Margaret Ikape , Kent Irwin , Giovanni Isopi , Neha Joshi , Ben Keller , Joshua Kim , Kenda Knowles , Brian J. Koopman , Arthur Kosowsky , Darby Kramer , Aleksandra Kusiak , Alex Lague , Victoria Lakey , Massimiliano Lattanzi , Eunseong Lee , Yaqiong Li , Zack Li , Michele Limon , Martine Lokken , Thibaut Louis , Marius Lungu , Niall MacCrann , Amanda MacInnis , Mathew S. Madhavacheril , Diego Maldonado , Felipe Maldonado , Maya Mallaby-Kay , Gabriela A. Marques , Joshiwa van Marrewijk , Fiona McCarthy , Jeff McMahon , Yogesh Mehta , Felipe Menanteau , Kavilan Moodley , Thomas W. Morris , Tony Mroczkowski , Sigurd Naess , Toshiya Namikawa , Federico Nati , Simran K. Nerval , Laura Newburgh , Andrina Nicola , Michael D. Niemack , Michael R. Nolta , John Orlowski-Scherer , Luca Pagano , Lyman A. Page , Shivam Pandey , Bruce Partridge , Karen Perez Sarmiento , Heather Prince , Roberto Puddu , Frank J. Qu , Damien C. Ragavan , Bernardita Ried Guachalla , Keir K. Rogers , Felipe Rojas , Tai Sakuma , Emmanuel Schaan , Benjamin L. Schmitt , Neelima Sehgal , Shabbir Shaikh , Blake D. Sherwin , Carlos Sierra , Jon Sievers , Cristóbal Sifón , Sara Simon , Rita Sonka , David N. Spergel , Suzanne T. Staggs , Emilie Storer , Kristen Surrao , Eric R. Switzer , Niklas Tampier , Leander Thiele , Robert Thornton , Hy Trac , Carole Tucker , Joel Ullom , Leila R. Vale , Alexander Van Engelen , Jeff Van Lanen , Cristian Vargas , Eve M. Vavagiakis , Kasey Wagoner , Yuhan Wang , Lukas Wenzl , Edward J. Wollack , Kaiwen Zheng

The cosmic curvature $\Omega_{K}$ is an important parameter related to the inflationary cosmology and the ultimate fate of the universe. In this work, we adopt the non-CMB observations to constrain $\Omega_{K}$ in the $\Lambda$CDM model and…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-12 Peng-Ju Wu , Xin Zhang
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