{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T22:02:43Z","timestamp":1772834563270,"version":"3.50.1"},"reference-count":85,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T00:00:00Z","timestamp":1750118400000},"content-version":"vor","delay-in-days":16,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100000844","name":"European Space Agency","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000844","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000271","name":"Science and Technology Facilities Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000271","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100014013","name":"UK Research and Innovation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100014013","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005156","name":"Alexander von Humboldt Foundation","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100005156","id-type":"DOI","asserted-by":"crossref"}]},{"name":"INFN"},{"name":"FCT"},{"DOI":"10.13039\/100000104","name":"NASA","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100000104","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["A&amp;A"],"accepted":{"date-parts":[[2025,3,13]]},"published-print":{"date-parts":[[2025,6]]},"abstract":"<jats:p>We study the constraint on <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) gravity that can be obtained by photometric primary probes of the <jats:italic>Euclid<\/jats:italic> mission. Our focus is the dependence of the constraint on the theoretical modelling of the nonlinear matter power spectrum. In the Hu\u2013Sawicki <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) gravity model, we consider four different predictions for the ratio between the power spectrum in <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) and that in \u039b cold dark matter (\u039bCDM): a fitting formula, the halo model reaction approach, <jats:monospace>ReACT<\/jats:monospace>, and two emulators based on dark matter only <jats:italic>N<\/jats:italic>-body simulations, <jats:monospace>FORGE<\/jats:monospace> and <jats:monospace>e-Mantis<\/jats:monospace>. These predictions are added to the <jats:monospace>MontePython<\/jats:monospace> implementation to predict the angular power spectra for weak lensing (WL), photometric galaxy clustering, and their cross-correlation. By running Markov chain Monte Carlo, we compare constraints on parameters and investigate the bias of the recovered <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) parameter if the data are created by a different model. For the pessimistic setting of WL, one-dimensional bias for the <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) parameter, log<jats:sub>10<\/jats:sub>|<jats:italic>f<\/jats:italic><jats:sub><jats:italic>R<\/jats:italic>0<\/jats:sub>|, is found to be 0.5<jats:italic>\u03c3<\/jats:italic> when <jats:monospace>FORGE<\/jats:monospace> is used to create the synthetic data with log<jats:sub>10<\/jats:sub>|<jats:italic>f<\/jats:italic><jats:sub><jats:italic>R<\/jats:italic>0<\/jats:sub>|\u2004=\u2004\u22125.301 and fitted by <jats:monospace>e-Mantis<\/jats:monospace>. The impact of baryonic physics on WL is studied by using a baryonification emulator, <jats:monospace>BCemu<\/jats:monospace>. For the optimistic setting, the <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) parameter and two main baryonic parameters are well constrained despite the degeneracies among these parameters. However, the difference in the nonlinear dark matter prediction can be compensated for the adjustment of baryonic parameters, and the one-dimensional marginalised constraint on log<jats:sub>10<\/jats:sub>|<jats:italic>f<\/jats:italic><jats:sub><jats:italic>R<\/jats:italic>0<\/jats:sub>| is biased. This bias can be avoided in the pessimistic setting at the expense of weaker constraints. For the pessimistic setting, using the \u039bCDM synthetic data for WL, we obtain the prior-independent upper limit of log<jats:sub>10<\/jats:sub>|<jats:italic>f<\/jats:italic><jats:sub><jats:italic>R<\/jats:italic>0<\/jats:sub>|\u2004&lt;\u2004\u22125.6. Finally, we implement a method to include theoretical errors to avoid the bias due to inaccuracies in the nonlinear matter power spectrum prediction.<\/jats:p>","DOI":"10.1051\/0004-6361\/202452184","type":"journal-article","created":{"date-parts":[[2025,4,15]],"date-time":"2025-04-15T18:43:18Z","timestamp":1744742598000},"page":"A233","source":"Crossref","is-referenced-by-count":5,"title":["<i>Euclid<\/i> preparation"],"prefix":"10.1051","volume":"698","author":[{"name":"Euclid Collaboration","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6727-6915","authenticated-orcid":false,"given":"K.","family":"Koyama","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0004-0852-8624","authenticated-orcid":false,"given":"S.","family":"Pamuk","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4751-5138","authenticated-orcid":false,"given":"S.","family":"Casas","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1965-8614","authenticated-orcid":false,"given":"B.","family":"Bose","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1339-0194","authenticated-orcid":false,"given":"P.","family":"Carrilho","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0013-5266","authenticated-orcid":false,"given":"I.","family":"S\u00e1ez-Casares","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6373-9193","authenticated-orcid":false,"given":"L.","family":"Atayde","sequence":"additional","affiliation":[]},{"given":"M.","family":"Cataneo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0092-4321","authenticated-orcid":false,"given":"B.","family":"Fiorini","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9590-7961","authenticated-orcid":false,"given":"C.","family":"Giocoli","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0936-4594","authenticated-orcid":false,"given":"A. M. C.","family":"Le Brun","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8039-0480","authenticated-orcid":false,"given":"F.","family":"Pace","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9110-5550","authenticated-orcid":false,"given":"A.","family":"Pourtsidou","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3424-6941","authenticated-orcid":false,"given":"Y.","family":"Rasera","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4823-3757","authenticated-orcid":false,"given":"Z.","family":"Sakr","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6325-2710","authenticated-orcid":false,"given":"H.-A.","family":"Winther","sequence":"additional","affiliation":[]},{"given":"E.","family":"Altamura","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0723-6740","authenticated-orcid":false,"given":"J.","family":"Adamek","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4145-1943","authenticated-orcid":false,"given":"M.","family":"Baldi","sequence":"additional","affiliation":[]},{"given":"M.-A.","family":"Breton","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3906-5699","authenticated-orcid":false,"given":"G.","family":"R\u00e1cz","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3426-2802","authenticated-orcid":false,"given":"F.","family":"Vernizzi","sequence":"additional","affiliation":[]},{"given":"A.","family":"Amara","sequence":"additional","affiliation":[]},{"given":"S.","family":"Andreon","sequence":"additional","affiliation":[]},{"given":"N.","family":"Auricchio","sequence":"additional","affiliation":[]},{"given":"C.","family":"Baccigalupi","sequence":"additional","affiliation":[]},{"given":"S.","family":"Bardelli","sequence":"additional","affiliation":[]},{"given":"F.","family":"Bernardeau","sequence":"additional","affiliation":[]},{"given":"A.","family":"Biviano","sequence":"additional","affiliation":[]},{"given":"C.","family":"Bodendorf","sequence":"additional","affiliation":[]},{"given":"D.","family":"Bonino","sequence":"additional","affiliation":[]},{"given":"E.","family":"Branchini","sequence":"additional","affiliation":[]},{"given":"M.","family":"Brescia","sequence":"additional","affiliation":[]},{"given":"J.","family":"Brinchmann","sequence":"additional","affiliation":[]},{"given":"A.","family":"Caillat","sequence":"additional","affiliation":[]},{"given":"S.","family":"Camera","sequence":"additional","affiliation":[]},{"given":"G.","family":"Ca\u00f1as-Herrera","sequence":"additional","affiliation":[]},{"given":"V.","family":"Capobianco","sequence":"additional","affiliation":[]},{"given":"C.","family":"Carbone","sequence":"additional","affiliation":[]},{"given":"J.","family":"Carretero","sequence":"additional","affiliation":[]},{"given":"M.","family":"Castellano","sequence":"additional","affiliation":[]},{"given":"G.","family":"Castignani","sequence":"additional","affiliation":[]},{"given":"S.","family":"Cavuoti","sequence":"additional","affiliation":[]},{"given":"K. C.","family":"Chambers","sequence":"additional","affiliation":[]},{"given":"A.","family":"Cimatti","sequence":"additional","affiliation":[]},{"given":"C.","family":"Colodro-Conde","sequence":"additional","affiliation":[]},{"given":"G.","family":"Congedo","sequence":"additional","affiliation":[]},{"given":"C. J.","family":"Conselice","sequence":"additional","affiliation":[]},{"given":"L.","family":"Conversi","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Copin","sequence":"additional","affiliation":[]},{"given":"F.","family":"Courbin","sequence":"additional","affiliation":[]},{"given":"H. M.","family":"Courtois","sequence":"additional","affiliation":[]},{"given":"A.","family":"Da Silva","sequence":"additional","affiliation":[]},{"given":"H.","family":"Degaudenzi","sequence":"additional","affiliation":[]},{"given":"G.","family":"De Lucia","sequence":"additional","affiliation":[]},{"given":"H.","family":"Dole","sequence":"additional","affiliation":[]},{"given":"M.","family":"Douspis","sequence":"additional","affiliation":[]},{"given":"F.","family":"Dubath","sequence":"additional","affiliation":[]},{"given":"C. A. J.","family":"Duncan","sequence":"additional","affiliation":[]},{"given":"X.","family":"Dupac","sequence":"additional","affiliation":[]},{"given":"S.","family":"Dusini","sequence":"additional","affiliation":[]},{"given":"S.","family":"Escoffier","sequence":"additional","affiliation":[]},{"given":"M.","family":"Farina","sequence":"additional","affiliation":[]},{"given":"R.","family":"Farinelli","sequence":"additional","affiliation":[]},{"given":"S.","family":"Farrens","sequence":"additional","affiliation":[]},{"given":"S.","family":"Ferriol","sequence":"additional","affiliation":[]},{"given":"F.","family":"Finelli","sequence":"additional","affiliation":[]},{"given":"P.","family":"Fosalba","sequence":"additional","affiliation":[]},{"given":"M.","family":"Frailis","sequence":"additional","affiliation":[]},{"given":"E.","family":"Franceschi","sequence":"additional","affiliation":[]},{"given":"S.","family":"Galeotta","sequence":"additional","affiliation":[]},{"given":"B.","family":"Gillis","sequence":"additional","affiliation":[]},{"given":"P.","family":"G\u00f3mez-Alvarez","sequence":"additional","affiliation":[]},{"given":"J.","family":"Gracia-Carpio","sequence":"additional","affiliation":[]},{"given":"A.","family":"Grazian","sequence":"additional","affiliation":[]},{"given":"F.","family":"Grupp","sequence":"additional","affiliation":[]},{"given":"L.","family":"Guzzo","sequence":"additional","affiliation":[]},{"given":"M.","family":"Hailey","sequence":"additional","affiliation":[]},{"given":"S. V. H.","family":"Haugan","sequence":"additional","affiliation":[]},{"given":"W.","family":"Holmes","sequence":"additional","affiliation":[]},{"given":"F.","family":"Hormuth","sequence":"additional","affiliation":[]},{"given":"A.","family":"Hornstrup","sequence":"additional","affiliation":[]},{"given":"P.","family":"Hudelot","sequence":"additional","affiliation":[]},{"given":"S.","family":"Ili\u0107","sequence":"additional","affiliation":[]},{"given":"K.","family":"Jahnke","sequence":"additional","affiliation":[]},{"given":"M.","family":"Jhabvala","sequence":"additional","affiliation":[]},{"given":"B.","family":"Joachimi","sequence":"additional","affiliation":[]},{"given":"E.","family":"Keih\u00e4nen","sequence":"additional","affiliation":[]},{"given":"S.","family":"Kermiche","sequence":"additional","affiliation":[]},{"given":"A.","family":"Kiessling","sequence":"additional","affiliation":[]},{"given":"M.","family":"Kilbinger","sequence":"additional","affiliation":[]},{"given":"B.","family":"Kubik","sequence":"additional","affiliation":[]},{"given":"M.","family":"Kunz","sequence":"additional","affiliation":[]},{"given":"H.","family":"Kurki-Suonio","sequence":"additional","affiliation":[]},{"given":"P. B.","family":"Lilje","sequence":"additional","affiliation":[]},{"given":"V.","family":"Lindholm","sequence":"additional","affiliation":[]},{"given":"I.","family":"Lloro","sequence":"additional","affiliation":[]},{"given":"G.","family":"Mainetti","sequence":"additional","affiliation":[]},{"given":"D.","family":"Maino","sequence":"additional","affiliation":[]},{"given":"E.","family":"Maiorano","sequence":"additional","affiliation":[]},{"given":"O.","family":"Mansutti","sequence":"additional","affiliation":[]},{"given":"O.","family":"Marggraf","sequence":"additional","affiliation":[]},{"given":"K.","family":"Markovic","sequence":"additional","affiliation":[]},{"given":"M.","family":"Martinelli","sequence":"additional","affiliation":[]},{"given":"N.","family":"Martinet","sequence":"additional","affiliation":[]},{"given":"F.","family":"Marulli","sequence":"additional","affiliation":[]},{"given":"R.","family":"Massey","sequence":"additional","affiliation":[]},{"given":"E.","family":"Medinaceli","sequence":"additional","affiliation":[]},{"given":"S.","family":"Mei","sequence":"additional","affiliation":[]},{"given":"M.","family":"Melchior","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Mellier","sequence":"additional","affiliation":[]},{"given":"M.","family":"Meneghetti","sequence":"additional","affiliation":[]},{"given":"E.","family":"Merlin","sequence":"additional","affiliation":[]},{"given":"G.","family":"Meylan","sequence":"additional","affiliation":[]},{"given":"A.","family":"Mora","sequence":"additional","affiliation":[]},{"given":"M.","family":"Moresco","sequence":"additional","affiliation":[]},{"given":"L.","family":"Moscardini","sequence":"additional","affiliation":[]},{"given":"E.","family":"Munari","sequence":"additional","affiliation":[]},{"given":"C.","family":"Neissner","sequence":"additional","affiliation":[]},{"given":"S.-M.","family":"Niemi","sequence":"additional","affiliation":[]},{"given":"C.","family":"Padilla","sequence":"additional","affiliation":[]},{"given":"S.","family":"Paltani","sequence":"additional","affiliation":[]},{"given":"F.","family":"Pasian","sequence":"additional","affiliation":[]},{"given":"K.","family":"Pedersen","sequence":"additional","affiliation":[]},{"given":"W. J.","family":"Percival","sequence":"additional","affiliation":[]},{"given":"V.","family":"Pettorino","sequence":"additional","affiliation":[]},{"given":"S.","family":"Pires","sequence":"additional","affiliation":[]},{"given":"G.","family":"Polenta","sequence":"additional","affiliation":[]},{"given":"M.","family":"Poncet","sequence":"additional","affiliation":[]},{"given":"L. A.","family":"Popa","sequence":"additional","affiliation":[]},{"given":"L.","family":"Pozzetti","sequence":"additional","affiliation":[]},{"given":"F.","family":"Raison","sequence":"additional","affiliation":[]},{"given":"A.","family":"Renzi","sequence":"additional","affiliation":[]},{"given":"J.","family":"Rhodes","sequence":"additional","affiliation":[]},{"given":"G.","family":"Riccio","sequence":"additional","affiliation":[]},{"given":"E.","family":"Romelli","sequence":"additional","affiliation":[]},{"given":"M.","family":"Roncarelli","sequence":"additional","affiliation":[]},{"given":"R.","family":"Saglia","sequence":"additional","affiliation":[]},{"given":"J.-C.","family":"Salvignol","sequence":"additional","affiliation":[]},{"given":"A. G.","family":"S\u00e1nchez","sequence":"additional","affiliation":[]},{"given":"D.","family":"Sapone","sequence":"additional","affiliation":[]},{"given":"B.","family":"Sartoris","sequence":"additional","affiliation":[]},{"given":"M.","family":"Schirmer","sequence":"additional","affiliation":[]},{"given":"T.","family":"Schrabback","sequence":"additional","affiliation":[]},{"given":"A.","family":"Secroun","sequence":"additional","affiliation":[]},{"given":"G.","family":"Seidel","sequence":"additional","affiliation":[]},{"given":"S.","family":"Serrano","sequence":"additional","affiliation":[]},{"given":"C.","family":"Sirignano","sequence":"additional","affiliation":[]},{"given":"G.","family":"Sirri","sequence":"additional","affiliation":[]},{"given":"A.","family":"Spurio Mancini","sequence":"additional","affiliation":[]},{"given":"L.","family":"Stanco","sequence":"additional","affiliation":[]},{"given":"J.","family":"Steinwagner","sequence":"additional","affiliation":[]},{"given":"P.","family":"Tallada-Cresp\u00ed","sequence":"additional","affiliation":[]},{"given":"A. N.","family":"Taylor","sequence":"additional","affiliation":[]},{"given":"I.","family":"Tereno","sequence":"additional","affiliation":[]},{"given":"N.","family":"Tessore","sequence":"additional","affiliation":[]},{"given":"S.","family":"Toft","sequence":"additional","affiliation":[]},{"given":"R.","family":"Toledo-Moreo","sequence":"additional","affiliation":[]},{"given":"F.","family":"Torradeflot","sequence":"additional","affiliation":[]},{"given":"I.","family":"Tutusaus","sequence":"additional","affiliation":[]},{"given":"L.","family":"Valenziano","sequence":"additional","affiliation":[]},{"given":"J.","family":"Valiviita","sequence":"additional","affiliation":[]},{"given":"T.","family":"Vassallo","sequence":"additional","affiliation":[]},{"given":"G.","family":"Verdoes Kleijn","sequence":"additional","affiliation":[]},{"given":"A.","family":"Veropalumbo","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Wang","sequence":"additional","affiliation":[]},{"given":"J.","family":"Weller","sequence":"additional","affiliation":[]},{"given":"G.","family":"Zamorani","sequence":"additional","affiliation":[]},{"given":"E.","family":"Zucca","sequence":"additional","affiliation":[]},{"given":"E.","family":"Bozzo","sequence":"additional","affiliation":[]},{"given":"C.","family":"Burigana","sequence":"additional","affiliation":[]},{"given":"M.","family":"Calabrese","sequence":"additional","affiliation":[]},{"given":"D.","family":"Di Ferdinando","sequence":"additional","affiliation":[]},{"given":"J. A.","family":"Escartin Vigo","sequence":"additional","affiliation":[]},{"given":"G.","family":"Fabbian","sequence":"additional","affiliation":[]},{"given":"S.","family":"Matthew","sequence":"additional","affiliation":[]},{"given":"N.","family":"Mauri","sequence":"additional","affiliation":[]},{"given":"A.","family":"Pezzotta","sequence":"additional","affiliation":[]},{"given":"M.","family":"P\u00f6ntinen","sequence":"additional","affiliation":[]},{"given":"V.","family":"Scottez","sequence":"additional","affiliation":[]},{"given":"M.","family":"Tenti","sequence":"additional","affiliation":[]},{"given":"M.","family":"Viel","sequence":"additional","affiliation":[]},{"given":"M.","family":"Wiesmann","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Akrami","sequence":"additional","affiliation":[]},{"given":"S.","family":"Anselmi","sequence":"additional","affiliation":[]},{"given":"M.","family":"Archidiacono","sequence":"additional","affiliation":[]},{"given":"F.","family":"Atrio-Barandela","sequence":"additional","affiliation":[]},{"given":"M.","family":"Ballardini","sequence":"additional","affiliation":[]},{"given":"D.","family":"Bertacca","sequence":"additional","affiliation":[]},{"given":"A.","family":"Blanchard","sequence":"additional","affiliation":[]},{"given":"L.","family":"Blot","sequence":"additional","affiliation":[]},{"given":"H.","family":"B\u00f6hringer","sequence":"additional","affiliation":[]},{"given":"S.","family":"Bruton","sequence":"additional","affiliation":[]},{"given":"R.","family":"Cabanac","sequence":"additional","affiliation":[]},{"given":"A.","family":"Calabro","sequence":"additional","affiliation":[]},{"given":"B.","family":"Camacho Quevedo","sequence":"additional","affiliation":[]},{"given":"A.","family":"Cappi","sequence":"additional","affiliation":[]},{"given":"F.","family":"Caro","sequence":"additional","affiliation":[]},{"given":"C. S.","family":"Carvalho","sequence":"additional","affiliation":[]},{"given":"T.","family":"Castro","sequence":"additional","affiliation":[]},{"given":"S.","family":"Contarini","sequence":"additional","affiliation":[]},{"given":"A. R.","family":"Cooray","sequence":"additional","affiliation":[]},{"given":"G.","family":"Desprez","sequence":"additional","affiliation":[]},{"given":"A.","family":"D\u00edaz-S\u00e1nchez","sequence":"additional","affiliation":[]},{"given":"J. J.","family":"Diaz","sequence":"additional","affiliation":[]},{"given":"S.","family":"Di Domizio","sequence":"additional","affiliation":[]},{"given":"M.","family":"Ezziati","sequence":"additional","affiliation":[]},{"given":"A. G.","family":"Ferrari","sequence":"additional","affiliation":[]},{"given":"P. G.","family":"Ferreira","sequence":"additional","affiliation":[]},{"given":"I.","family":"Ferrero","sequence":"additional","affiliation":[]},{"given":"A.","family":"Finoguenov","sequence":"additional","affiliation":[]},{"given":"A.","family":"Fontana","sequence":"additional","affiliation":[]},{"given":"F.","family":"Fornari","sequence":"additional","affiliation":[]},{"given":"L.","family":"Gabarra","sequence":"additional","affiliation":[]},{"given":"K.","family":"Ganga","sequence":"additional","affiliation":[]},{"given":"J.","family":"Garc\u00eda-Bellido","sequence":"additional","affiliation":[]},{"given":"T.","family":"Gasparetto","sequence":"additional","affiliation":[]},{"given":"V.","family":"Gautard","sequence":"additional","affiliation":[]},{"given":"E.","family":"Gaztanaga","sequence":"additional","affiliation":[]},{"given":"F.","family":"Giacomini","sequence":"additional","affiliation":[]},{"given":"F.","family":"Gianotti","sequence":"additional","affiliation":[]},{"given":"G.","family":"Gozaliasl","sequence":"additional","affiliation":[]},{"given":"C. M.","family":"Gutierrez","sequence":"additional","affiliation":[]},{"given":"A.","family":"Hall","sequence":"additional","affiliation":[]},{"given":"H.","family":"Hildebrandt","sequence":"additional","affiliation":[]},{"given":"J.","family":"Hjorth","sequence":"additional","affiliation":[]},{"given":"A.","family":"Jimenez Mu\u00f1oz","sequence":"additional","affiliation":[]},{"given":"S.","family":"Joudaki","sequence":"additional","affiliation":[]},{"given":"J. J. E.","family":"Kajava","sequence":"additional","affiliation":[]},{"given":"V.","family":"Kansal","sequence":"additional","affiliation":[]},{"given":"D.","family":"Karagiannis","sequence":"additional","affiliation":[]},{"given":"C. C.","family":"Kirkpatrick","sequence":"additional","affiliation":[]},{"given":"J.","family":"Le Graet","sequence":"additional","affiliation":[]},{"given":"L.","family":"Legrand","sequence":"additional","affiliation":[]},{"given":"J.","family":"Lesgourgues","sequence":"additional","affiliation":[]},{"given":"T. I.","family":"Liaudat","sequence":"additional","affiliation":[]},{"given":"S. J.","family":"Liu","sequence":"additional","affiliation":[]},{"given":"A.","family":"Loureiro","sequence":"additional","affiliation":[]},{"given":"G.","family":"Maggio","sequence":"additional","affiliation":[]},{"given":"M.","family":"Magliocchetti","sequence":"additional","affiliation":[]},{"given":"F.","family":"Mannucci","sequence":"additional","affiliation":[]},{"given":"R.","family":"Maoli","sequence":"additional","affiliation":[]},{"given":"J.","family":"Mart\u00edn-Fleitas","sequence":"additional","affiliation":[]},{"given":"C. J. A. P.","family":"Martins","sequence":"additional","affiliation":[]},{"given":"L.","family":"Maurin","sequence":"additional","affiliation":[]},{"given":"R. B.","family":"Metcalf","sequence":"additional","affiliation":[]},{"given":"M.","family":"Miluzio","sequence":"additional","affiliation":[]},{"given":"P.","family":"Monaco","sequence":"additional","affiliation":[]},{"given":"A.","family":"Montoro","sequence":"additional","affiliation":[]},{"given":"C.","family":"Moretti","sequence":"additional","affiliation":[]},{"given":"G.","family":"Morgante","sequence":"additional","affiliation":[]},{"given":"C.","family":"Murray","sequence":"additional","affiliation":[]},{"given":"S.","family":"Nadathur","sequence":"additional","affiliation":[]},{"given":"L.","family":"Pagano","sequence":"additional","affiliation":[]},{"given":"L.","family":"Patrizii","sequence":"additional","affiliation":[]},{"given":"V.","family":"Popa","sequence":"additional","affiliation":[]},{"given":"D.","family":"Potter","sequence":"additional","affiliation":[]},{"given":"P.","family":"Reimberg","sequence":"additional","affiliation":[]},{"given":"I.","family":"Risso","sequence":"additional","affiliation":[]},{"given":"P.-F.","family":"Rocci","sequence":"additional","affiliation":[]},{"given":"M.","family":"Sahl\u00e9n","sequence":"additional","affiliation":[]},{"given":"E.","family":"Sarpa","sequence":"additional","affiliation":[]},{"given":"A.","family":"Schneider","sequence":"additional","affiliation":[]},{"given":"M.","family":"Sereno","sequence":"additional","affiliation":[]},{"given":"A.","family":"Silvestri","sequence":"additional","affiliation":[]},{"given":"J.","family":"Stadel","sequence":"additional","affiliation":[]},{"given":"K.","family":"Tanidis","sequence":"additional","affiliation":[]},{"given":"C.","family":"Tao","sequence":"additional","affiliation":[]},{"given":"G.","family":"Testera","sequence":"additional","affiliation":[]},{"given":"R.","family":"Teyssier","sequence":"additional","affiliation":[]},{"given":"S.","family":"Tosi","sequence":"additional","affiliation":[]},{"given":"A.","family":"Troja","sequence":"additional","affiliation":[]},{"given":"M.","family":"Tucci","sequence":"additional","affiliation":[]},{"given":"D.","family":"Vergani","sequence":"additional","affiliation":[]},{"given":"G.","family":"Verza","sequence":"additional","affiliation":[]},{"given":"P.","family":"Vielzeuf","sequence":"additional","affiliation":[]},{"given":"N. A.","family":"Walton","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2025,6,17]]},"reference":[{"key":"R1","unstructured":"Albrecht A., Bernstein G., Cahn R., et al. 2006, ArXiv e-prints [arXiv:astro-ph\/0609591]"},{"key":"R2","doi-asserted-by":"crossref","first-page":"5869","DOI":"10.1093\/mnras\/stab2018","volume":"507","author":"Angulo","year":"2021","journal-title":"MNRAS"},{"key":"R3","doi-asserted-by":"crossref","first-page":"2507","DOI":"10.1093\/mnras\/stz2690","volume":"490","author":"Arnold","year":"2019","journal-title":"MNRAS"},{"key":"R4","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1038\/s41550-019-0823-y","volume":"3","author":"Arnold","year":"2019","journal-title":"Nat. Astron."},{"key":"R5","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1093\/mnras\/sty3044","volume":"483","author":"Arnold","year":"2019","journal-title":"MNRAS"},{"key":"R6","doi-asserted-by":"crossref","first-page":"4161","DOI":"10.1093\/mnras\/stac1091","volume":"515","author":"Arnold","year":"2022","journal-title":"MNRAS"},{"key":"R7","doi-asserted-by":"crossref","first-page":"026","DOI":"10.1088\/1475-7516\/2013\/01\/026","volume":"01","author":"Audren","year":"2013","journal-title":"JCAP"},{"key":"R8","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1093\/mnras\/stu259","volume":"440","author":"Baldi","year":"2014","journal-title":"MNRAS"},{"key":"R9","doi-asserted-by":"crossref","first-page":"050","DOI":"10.1088\/1475-7516\/2017\/02\/050","volume":"02","author":"Bose","year":"2017","journal-title":"JCAP"},{"key":"R10","doi-asserted-by":"crossref","first-page":"4650","DOI":"10.1093\/mnras\/staa2696","volume":"498","author":"Bose","year":"2020","journal-title":"MNRAS"},{"key":"R11","doi-asserted-by":"crossref","first-page":"2479","DOI":"10.1093\/mnras\/stab2731","volume":"508","author":"Bose","year":"2021","journal-title":"MNRAS"},{"key":"R12","doi-asserted-by":"crossref","first-page":"4780","DOI":"10.1093\/mnras\/stac3783","volume":"519","author":"Bose","year":"2023","journal-title":"MNRAS"},{"key":"R13","doi-asserted-by":"crossref","first-page":"104021","DOI":"10.1103\/PhysRevD.78.104021","volume":"78","author":"Brax","year":"2008","journal-title":"Phys. Rev. D"},{"key":"R14","doi-asserted-by":"crossref","first-page":"11","DOI":"10.3390\/universe8010011","volume":"8","author":"Brax","year":"2021","journal-title":"Universe"},{"key":"R15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/mnras\/150.1.1","volume":"150","author":"Buchdahl","year":"1970","journal-title":"MNRAS"},{"key":"R16","doi-asserted-by":"crossref","first-page":"004","DOI":"10.1088\/1475-7516\/2024\/04\/004","volume":"04","author":"Burrage","year":"2024","journal-title":"JCAP"},{"key":"R17","doi-asserted-by":"crossref","first-page":"3691","DOI":"10.1093\/mnras\/stac641","volume":"512","author":"Carrilho","year":"2022","journal-title":"MNRAS"},{"key":"R18","doi-asserted-by":"crossref","first-page":"3914","DOI":"10.1093\/mnras\/stae1663","volume":"532","author":"Carrion","year":"2024","journal-title":"MNRAS"},{"key":"R19","unstructured":"Casas S., Cardone V. F., Sapone D., et al. 2023, ArXiv e-prints [arXiv:2306.11053]"},{"key":"R20","doi-asserted-by":"crossref","first-page":"A90","DOI":"10.1051\/0004-6361\/202346772","volume":"682","author":"Casas","year":"2024","journal-title":"A&A"},{"key":"R21","doi-asserted-by":"crossref","first-page":"2121","DOI":"10.1093\/mnras\/stz1836","volume":"488","author":"Cataneo","year":"2019","journal-title":"MNRAS"},{"key":"R22","doi-asserted-by":"crossref","first-page":"3195","DOI":"10.1093\/mnras\/sty463","volume":"476","author":"Cautun","year":"2018","journal-title":"MNRAS"},{"key":"R23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2012.01.001","volume":"513","author":"Clifton","year":"2012","journal-title":"Phys. Rep."},{"key":"R24","doi-asserted-by":"crossref","first-page":"104060","DOI":"10.1103\/PhysRevD.102.104060","volume":"102","author":"Desmond","year":"2020","journal-title":"Phys. Rev. D"},{"key":"R25","doi-asserted-by":"crossref","first-page":"2160","DOI":"10.1093\/mnras\/staf093","volume":"537","author":"Elbers","year":"2025","journal-title":"MNRAS."},{"key":"R26","doi-asserted-by":"crossref","first-page":"A191","DOI":"10.1051\/0004-6361\/202038071","volume":"642","author":"Blanchard","year":"2020","journal-title":"A&A"},{"key":"R27","doi-asserted-by":"crossref","first-page":"2840","DOI":"10.1093\/mnras\/stab1366","volume":"505","author":"Knabenhans","year":"2021","journal-title":"MNRAS"},{"key":"R28","doi-asserted-by":"crossref","first-page":"A275","DOI":"10.1051\/0004-6361\/202348784","volume":"689","author":"Bose","year":"2024","journal-title":"A&A"},{"key":"R29","doi-asserted-by":"crossref","first-page":"A318","DOI":"10.1051\/0004-6361\/202348389","volume":"691","author":"Sciotti","year":"2024","journal-title":"A&A"},{"key":"R30","doi-asserted-by":"crossref","first-page":"A230","DOI":"10.1051\/0004-6361\/202452180","volume":"695","author":"Adamek","year":"2025","journal-title":"A&A"},{"key":"R31","doi-asserted-by":"crossref","first-page":"A1","DOI":"10.1051\/0004-6361\/202450810","volume":"697","author":"Mellier","year":"2025","journal-title":"A&A"},{"key":"R32","doi-asserted-by":"crossref","first-page":"A232","DOI":"10.1051\/0004-6361\/202452185","volume":"695","author":"Racz","year":"2025","journal-title":"A&A"},{"key":"R33","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1146\/annurev-astro-091918-104423","volume":"57","author":"Ferreira","year":"2019","journal-title":"ARA&A"},{"key":"R34","doi-asserted-by":"crossref","first-page":"045","DOI":"10.1088\/1475-7516\/2023\/12\/045","volume":"12","author":"Fiorini","year":"2023","journal-title":"JCAP"},{"key":"R35","doi-asserted-by":"crossref","first-page":"A133","DOI":"10.1051\/0004-6361\/202347526","volume":"690","author":"Frusciante","year":"2024","journal-title":"A&A"},{"key":"R36","first-page":"457","volume":"7","author":"Gelman","year":"1992","journal-title":"Statist. Sci."},{"key":"R37","doi-asserted-by":"crossref","first-page":"2813","DOI":"10.1093\/mnras\/sty2465","volume":"481","author":"Giocoli","year":"2018","journal-title":"MNRAS"},{"key":"R38","doi-asserted-by":"crossref","first-page":"046","DOI":"10.1088\/1475-7516\/2021\/12\/046","volume":"12","author":"Giri","year":"2021","journal-title":"JCAP"},{"key":"R39","doi-asserted-by":"crossref","first-page":"1859","DOI":"10.1111\/j.1365-2966.2007.12707.x","volume":"382","author":"Gordon","year":"2007","journal-title":"MNRAS"},{"key":"R40","doi-asserted-by":"crossref","first-page":"4379","DOI":"10.1093\/mnras\/stae259","volume":"528","author":"Grandis","year":"2024","journal-title":"MNRAS"},{"key":"R41","doi-asserted-by":"crossref","first-page":"4756","DOI":"10.1016\/j.jcp.2011.02.044","volume":"230","author":"Guillet","year":"2011","journal-title":"J. Comput. Phys."},{"key":"R42","doi-asserted-by":"crossref","first-page":"6336","DOI":"10.1093\/mnras\/stad2700","volume":"525","author":"Harnois-D\u00e9raps","year":"2023","journal-title":"MNRAS"},{"key":"R43","doi-asserted-by":"crossref","first-page":"3686","DOI":"10.1093\/mnras\/stae2555","volume":"535","author":"Holm","year":"2024","journal-title":"MNARS"},{"key":"R44","doi-asserted-by":"crossref","first-page":"064004","DOI":"10.1103\/PhysRevD.76.064004","volume":"76","author":"Hu","year":"2007","journal-title":"Phys. Rev. D"},{"key":"R45","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1109\/MCSE.2007.55","volume":"9","author":"Hunter","year":"2007","journal-title":"Comput. Sci. Eng."},{"key":"R46","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s41114-018-0017-4","volume":"22","author":"Ishak","year":"2019","journal-title":"Living Rev. Rel."},{"key":"R47","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2014.12.002","volume":"568","author":"Joyce","year":"2015","journal-title":"Phys. Rept."},{"key":"R48","doi-asserted-by":"crossref","first-page":"171104","DOI":"10.1103\/PhysRevLett.93.171104","volume":"93","author":"Khoury","year":"2004","journal-title":"Phys. Rev. Lett."},{"key":"R49","doi-asserted-by":"crossref","first-page":"A193","DOI":"10.1051\/0004-6361\/202348639","volume":"686","author":"Kou","year":"2024","journal-title":"A&A"},{"key":"R50","doi-asserted-by":"crossref","first-page":"046902","DOI":"10.1088\/0034-4885\/79\/4\/046902","volume":"79","author":"Koyama","year":"2016","journal-title":"Rept. Prog. Phys."},{"key":"R51","unstructured":"Lewis A. 2019, ArXiv e-prints [arXiv:1910.13970]"},{"key":"R52","doi-asserted-by":"crossref","first-page":"051","DOI":"10.1088\/1475-7516\/2012\/01\/051","volume":"01","author":"Li","year":"2012","journal-title":"JCAP"},{"key":"R53","first-page":"239","volume":"21","author":"McKay","year":"1979","journal-title":"Technometrics"},{"key":"R54","doi-asserted-by":"crossref","first-page":"1958","DOI":"10.1093\/mnras\/stv2036","volume":"454","author":"Mead","year":"2015","journal-title":"MNRAS"},{"key":"R55","doi-asserted-by":"crossref","first-page":"1468","DOI":"10.1093\/mnras\/stw681","volume":"459","author":"Mead","year":"2016","journal-title":"MNRAS"},{"key":"R56","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1093\/mnras\/stab082","volume":"502","author":"Mead","year":"2021","journal-title":"MNRAS"},{"key":"R57","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1086\/177173","volume":"462","author":"Navarro","year":"1996","journal-title":"ApJ"},{"key":"R58","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/MCSE.2007.53","volume":"9","author":"Perez","year":"2007","journal-title":"Comput. Sci. Eng."},{"key":"R59","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1086\/307221","volume":"517","author":"Perlmutter","year":"1999","journal-title":"ApJ"},{"key":"R60","doi-asserted-by":"crossref","first-page":"038","DOI":"10.1088\/1475-7516\/2023\/04\/038","volume":"04","author":"Piga","year":"2023","journal-title":"JCAP"},{"key":"R61","doi-asserted-by":"crossref","first-page":"020","DOI":"10.1088\/1475-7516\/2021\/04\/020","volume":"04","author":"Pisanti","year":"2021","journal-title":"JCAP"},{"key":"R62","doi-asserted-by":"crossref","first-page":"A6","DOI":"10.1051\/0004-6361\/201833910","volume":"641","author":"Planck Collaboration VI.","year":"2020","journal-title":"A&A"},{"key":"R63","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1093\/mnras\/stt1575","volume":"436","author":"Puchwein","year":"2013","journal-title":"MNRAS"},{"key":"R64","doi-asserted-by":"crossref","first-page":"123525","DOI":"10.1103\/PhysRevD.103.123525","volume":"103","author":"Ramachandra","year":"2021","journal-title":"Phys. Rev. D"},{"key":"R65","doi-asserted-by":"crossref","unstructured":"Rasmussen C. E., & Williams C. K. I. 2005, Gaussian Processes for Machine Learning (The MIT Press)","DOI":"10.7551\/mitpress\/3206.001.0001"},{"key":"R66","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1086\/300499","volume":"116","author":"Riess","year":"1998","journal-title":"AJ"},{"key":"R67","doi-asserted-by":"crossref","first-page":"7242","DOI":"10.1093\/mnras\/stad3343","volume":"527","author":"S\u00e1ez-Casares","year":"2023","journal-title":"MNRAS"},{"key":"R68","doi-asserted-by":"crossref","first-page":"020","DOI":"10.1088\/1475-7516\/2020\/04\/020","volume":"04","author":"Schneider","year":"2020","journal-title":"JCAP"},{"key":"R69","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1103\/RevModPhys.82.451","volume":"82","author":"Sotiriou","year":"2010","journal-title":"Rev. Mod. Phys."},{"key":"R70","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1111\/j.1365-2966.2009.15715.x","volume":"401","author":"Springel","year":"2010","journal-title":"MNRAS"},{"key":"R71","doi-asserted-by":"crossref","first-page":"40","DOI":"10.21105\/astro.2305.06350","volume":"6","author":"Spurio Mancini","year":"2023","journal-title":"Open J. Astrophys."},{"key":"R72","doi-asserted-by":"crossref","first-page":"2155","DOI":"10.1093\/mnras\/stz2581","volume":"490","author":"Spurio Mancini","year":"2019","journal-title":"MNRAS"},{"key":"R73","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1093\/mnras\/stac064","volume":"511","author":"Spurio Mancini","year":"2022","journal-title":"MNRAS"},{"key":"R74","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1088\/0004-637X\/761\/2\/152","volume":"761","author":"Takahashi","year":"2012","journal-title":"ApJ"},{"key":"R75","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1051\/0004-6361:20011817","volume":"385","author":"Teyssier","year":"2002","journal-title":"A&A"},{"key":"R76","doi-asserted-by":"crossref","first-page":"A88","DOI":"10.1051\/0004-6361\/202039805","volume":"649","author":"Tr\u00f6ster","year":"2021","journal-title":"A&A"},{"key":"R77","doi-asserted-by":"crossref","first-page":"099","DOI":"10.1088\/1475-7516\/2024\/10\/099","volume":"10","author":"Tsedrik","year":"2024","journal-title":"JCAP"},{"key":"R78","doi-asserted-by":"crossref","first-page":"103515","DOI":"10.1103\/PhysRevD.95.103515","volume":"95","author":"Valogiannis","year":"2017","journal-title":"Phys. Rev. D"},{"key":"R79","doi-asserted-by":"crossref","first-page":"063526","DOI":"10.1103\/PhysRevD.99.063526","volume":"99","author":"Valogiannis","year":"2019","journal-title":"Phys. Rev. D"},{"key":"R80","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1038\/s41592-019-0686-2","volume":"17","author":"Virtanen","year":"2020","journal-title":"Nat. Methods"},{"key":"R81","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1109\/MCSE.2011.37","volume":"13","author":"Walt","year":"2011","journal-title":"Comput. Sci. Eng."},{"key":"R82","doi-asserted-by":"crossref","first-page":"32","DOI":"10.3847\/1538-4365\/ab908c","volume":"248","author":"Weinberger","year":"2020","journal-title":"ApJS"},{"key":"R83","doi-asserted-by":"crossref","first-page":"4208","DOI":"10.1093\/mnras\/stv2253","volume":"454","author":"Winther","year":"2015","journal-title":"MNRAS"},{"key":"R84","doi-asserted-by":"crossref","first-page":"006","DOI":"10.1088\/1475-7516\/2017\/08\/006","volume":"08","author":"Winther","year":"2017","journal-title":"JCAP"},{"key":"R85","doi-asserted-by":"crossref","first-page":"123540","DOI":"10.1103\/PhysRevD.100.123540","volume":"100","author":"Winther","year":"2019","journal-title":"Phys. Rev. D"}],"container-title":["Astronomy &amp; Astrophysics"],"original-title":[],"link":[{"URL":"https:\/\/www.aanda.org\/10.1051\/0004-6361\/202452184\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T07:54:09Z","timestamp":1750146849000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aanda.org\/10.1051\/0004-6361\/202452184"}},"subtitle":["LXXI. Simulations and nonlinearities beyond \u039bCDM. 3. Constraints on <i>f<\/i>(<i>R<\/i>) models from the photometric primary probes"],"short-title":[],"issued":{"date-parts":[[2025,6]]},"references-count":85,"alternative-id":["aa52184-24"],"URL":"https:\/\/doi.org\/10.1051\/0004-6361\/202452184","relation":{},"ISSN":["0004-6361","1432-0746"],"issn-type":[{"value":"0004-6361","type":"print"},{"value":"1432-0746","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6]]}}}