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We consider these observables to evaluate how well\n                    <jats:italic>Euclid<\/jats:italic>\n                    can constrain the extended model parameter\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    . For a fiducial value of |\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    |\u2004=\u20045\u2005\u00d7\u200510\n                    <jats:sup>\u22126<\/jats:sup>\n                    , we find that in our baseline pessimistic setting,\n                    <jats:italic>Euclid<\/jats:italic>\n                    will constrain log\n                    <jats:sub>10<\/jats:sub>\n                    |\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    | at the 4% level with spectroscopic clustering, at 2.7% with the cross-correlation of photometric probes, and at 1.8% when combining all primary probes. This corresponds to an estimation on this model parameter of approximately |\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    = (5.0\n                    <jats:sup>+1.2<\/jats:sup>\n                    <jats:sub>\u22120.9<\/jats:sub>\n                    \u00d7 10\n                    <jats:sup>\u22126<\/jats:sup>\n                    at the 1\n                    <jats:italic>\u03c3<\/jats:italic>\n                    level. We also forecast constraints for models with |\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    |\u2004=\u20045\u2005\u00d7\u200510\n                    <jats:sup>\u22125<\/jats:sup>\n                    and |\n                    <jats:italic>f<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    |\u2004=\u20045\u2005\u00d7\u200510\n                    <jats:sup>\u22127<\/jats:sup>\n                    , finding that\n                    <jats:italic>Euclid<\/jats:italic>\n                    will distinguish these from the standard cosmological model at more than 3\n                    <jats:italic>\u03c3<\/jats:italic>\n                    when using the full combination of primary probes.\n                    <jats:italic>Euclid<\/jats:italic>\n                    will be a powerful experiment to test modifications to gravity, provided that the theoretical systematics of the non-linear modelling are kept under control.\n                  <\/jats:p>","DOI":"10.1051\/0004-6361\/202348713","type":"journal-article","created":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T19:44:43Z","timestamp":1762285483000},"page":"A176","source":"Crossref","is-referenced-by-count":0,"title":["<i>Euclid<\/i>\n                    : Constraints on f(R) cosmologies from the spectroscopic and photometric primary probes"],"prefix":"10.1051","volume":"707","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4751-5138","authenticated-orcid":false,"given":"S.","family":"Casas","sequence":"first","affiliation":[{"name":"Institute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen University","place":["Germany"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2079-7438","authenticated-orcid":false,"given":"V. 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Pancini\u201d, University Federico II","place":["Italy"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8039-0480","authenticated-orcid":false,"given":"F.","family":"Pace","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 degli Studi di Torino","place":["Italy"]},{"name":"INFN-Sezione di Torino","place":["Italy"]},{"name":"INAF-Osservatorio Astrofisico di Torino","place":["Italy"]}]},{"given":"G.","family":"Parimbelli","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 degli studi di Genova, and INFN-Sezione di Genova","place":["Italy"]},{"name":"INAF-Osservatorio Astronomico di Trieste","place":["Italy"]},{"name":"SISSA, International School for Advanced Studies","place":["Italy"]},{"name":"IFPU, Institute for Fundamental Physics of the Universe","place":["Italy"]}]},{"given":"M.","family":"Archidiacono","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano","place":["Italy"]},{"name":"INFN-Sezione di Milano","place":["Italy"]}]},{"given":"K.","family":"Koyama","sequence":"additional","affiliation":[{"name":"Institute of Cosmology and Gravitation, University of Portsmouth","place":["UK"]}]},{"given":"I.","family":"Tutusaus","sequence":"additional","affiliation":[{"name":"Institut de Recherche en Astrophysique et Plan\u00e9tologie (IRAP), Universit\u00e9 de Toulouse, CNRS, UPS, CNES","place":["France"]},{"name":"Universit\u00e9 de Gen\u00e8ve, D\u00e9partement de Physique Th\u00e9orique and Centre for Astroparticle Physics","place":["Switzerland"]},{"name":"Institute of Space Sciences (ICE, CSIC), Campus UAB","place":["Spain"]},{"name":"Institut d\u2019Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC","place":["Spain"]}]},{"given":"S.","family":"Camera","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 degli Studi di Torino","place":["Italy"]},{"name":"INFN-Sezione di Torino","place":["Italy"]},{"name":"INAF-Osservatorio Astrofisico di Torino","place":["Italy"]}]},{"given":"M.","family":"Martinelli","sequence":"additional","affiliation":[{"name":"INAF-Osservatorio Astronomico di Roma","place":["Italy"]},{"name":"INFN-Sezione di Roma, Piazzale Aldo Moro","place":["Italy"]}]},{"given":"V.","family":"Pettorino","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Paris-Saclay, Universit\u00e9 Paris Cit\u00e9, CEA, CNRS, AIM","place":["France"]}]},{"given":"Z.","family":"Sakr","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, University of Heidelberg","place":["Germany"]},{"name":"Institut de Recherche en Astrophysique et Plan\u00e9tologie (IRAP), Universit\u00e9 de Toulouse, CNRS, UPS, CNES","place":["France"]},{"name":"Universit\u00e9 St Joseph; 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