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We determine the impact of lensing magnification on cosmological constraints as well as the expected shift in the best-fit parameters if magnification is ignored. We considered two cosmological analyses: (i) a full-shape analysis based on the \u039b cold dark matter (CDM) model and its extension <jats:italic>w<\/jats:italic><jats:sub>0<\/jats:sub><jats:italic>w<\/jats:italic><jats:sub><jats:italic>a<\/jats:italic><\/jats:sub>CDM and (ii) a model-independent analysis that measures the growth rate of structure in each redshift bin. We adopted two complementary approaches in our forecast: the Fisher matrix formalism and the Markov chain Monte Carlo method. The fiducial values of the local count slope (or magnification bias), which regulates the amplitude of the lensing magnification, have been estimated from the <jats:italic>Euclid<\/jats:italic> Flagship simulations. We used linear perturbation theory and modelled the two-point correlation function with the public code <jats:monospace>coffe<\/jats:monospace>. For a \u039bCDM model, we find that the estimation of cosmological parameters is biased at the level of 0.4\u20130.7 standard deviations, while for a <jats:italic>w<\/jats:italic><jats:sub>0<\/jats:sub><jats:italic>w<\/jats:italic><jats:sub><jats:italic>a<\/jats:italic><\/jats:sub>CDM dynamical dark energy model, lensing magnification has a somewhat smaller impact, with shifts below 0.5 standard deviations. For a model-independent analysis aimed at measuring the growth rate of structure, we find that the estimation of the growth rate is biased by up to 1.2 standard deviations in the highest redshift bin. As a result, lensing magnification cannot be neglected in the spectroscopic survey, especially if we want to determine the growth factor, one of the most promising ways to test general relativity with <jats:italic>Euclid<\/jats:italic>. We also find that, by including lensing magnification with a simple template, this shift can be almost entirely eliminated with minimal computational overhead.<\/jats:p>","DOI":"10.1051\/0004-6361\/202348628","type":"journal-article","created":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T12:47:18Z","timestamp":1708346838000},"page":"A167","source":"Crossref","is-referenced-by-count":7,"title":["<i>Euclid<\/i> preparation"],"prefix":"10.1051","volume":"685","author":[{"name":"Euclid Collaboration","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2773-1765","authenticated-orcid":false,"given":"G.","family":"Jelic-Cizmek","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7141-9659","authenticated-orcid":false,"given":"F.","family":"Sorrenti","sequence":"additional","affiliation":[]},{"given":"F.","family":"Lepori","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5318-4064","authenticated-orcid":false,"given":"C.","family":"Bonvin","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3399-3574","authenticated-orcid":false,"given":"S.","family":"Camera","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7316-4573","authenticated-orcid":false,"given":"F. 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