{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T19:12:28Z","timestamp":1774984348154,"version":"3.50.1"},"reference-count":170,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T00:00:00Z","timestamp":1711324800000},"content-version":"vor","delay-in-days":24,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["A&amp;A"],"accepted":{"date-parts":[[2023,12,21]]},"published-print":{"date-parts":[[2024,3]]},"abstract":"<jats:p>Primordial features, in particular oscillatory signals, imprinted in the primordial power spectrum of density perturbations represent a clear window of opportunity for detecting new physics at high-energy scales. Future spectroscopic and photometric measurements from the <jats:italic>Euclid<\/jats:italic> space mission will provide unique constraints on the primordial power spectrum, thanks to the redshift coverage and high-accuracy measurement of nonlinear scales, thus allowing us to investigate deviations from the standard power-law primordial power spectrum. We consider two models with primordial undamped oscillations superimposed on the matter power spectrum described by 1\u2005+\u2005\ud835\udc9c<jats:sub>X<\/jats:sub>\u2005sin\u2005(<jats:italic>\u03c9<\/jats:italic><jats:sub>X<\/jats:sub>\u039e<jats:sub>X<\/jats:sub>\u2005+\u20052\u2005<jats:italic>\u03c0\u03d5<\/jats:italic><jats:sub>X<\/jats:sub>), one linearly spaced in <jats:italic>k<\/jats:italic> space with \u039e<jats:sub>lin<\/jats:sub>\u2004\u2261\u2004<jats:italic>k<\/jats:italic>\/<jats:italic>k<\/jats:italic><jats:sub>*<\/jats:sub> where <jats:italic>k<\/jats:italic><jats:sub>*<\/jats:sub>\u2004=\u20040.05\u2006Mpc<jats:sup>\u22121<\/jats:sup> and the other logarithmically spaced in <jats:italic>k<\/jats:italic> space with \u039e<jats:sub>log<\/jats:sub>\u2004\u2261\u2004ln(<jats:italic>k<\/jats:italic>\/<jats:italic>k<\/jats:italic><jats:sub>*<\/jats:sub>). We note that \ud835\udc9c<jats:sub>X<\/jats:sub> is the amplitude of the primordial feature, <jats:italic>\u03c9<\/jats:italic><jats:sub>X<\/jats:sub> is the dimensionless frequency, and <jats:italic>\u03d5<\/jats:italic><jats:sub>X<\/jats:sub> is the normalised phase, where <jats:italic>X<\/jats:italic>\u2004=\u2004{lin,\u2006log}. We provide forecasts from spectroscopic and photometric primary <jats:italic>Euclid<\/jats:italic> probes on the standard cosmological parameters \u03a9<jats:sub>m,\u20060<\/jats:sub>, \u03a9<jats:sub>b,\u20060<\/jats:sub>, <jats:italic>h<\/jats:italic>, <jats:italic>n<\/jats:italic><jats:sub>s<\/jats:sub>, and <jats:italic>\u03c3<\/jats:italic><jats:sub>8<\/jats:sub>, and the primordial feature parameters \ud835\udc9c<jats:sub><jats:italic>X<\/jats:italic><\/jats:sub>, <jats:italic>\u03c9<\/jats:italic><jats:sub><jats:italic>X<\/jats:italic><\/jats:sub>, and <jats:italic>\u03d5<\/jats:italic><jats:sub><jats:italic>X<\/jats:italic><\/jats:sub>. We focus on the uncertainties of the primordial feature amplitude \ud835\udc9c<jats:sub><jats:italic>X<\/jats:italic><\/jats:sub> and on the capability of <jats:italic>Euclid<\/jats:italic> to detect primordial features at a given frequency. We also study a nonlinear density reconstruction method in order to retrieve the oscillatory signals in the primordial power spectrum, which are damped on small scales in the late-time Universe due to cosmic structure formation. Finally, we also include the expected measurements from <jats:italic>Euclid<\/jats:italic>\u2019s galaxy-clustering bispectrum and from observations of the cosmic microwave background (CMB). We forecast uncertainties in estimated values of the cosmological parameters with a Fisher matrix method applied to spectroscopic galaxy clustering (GC<jats:sub>sp<\/jats:sub>), weak lensing (WL), photometric galaxy clustering (GC<jats:sub>ph<\/jats:sub>), the cross correlation (XC) between GC<jats:sub>ph<\/jats:sub> and WL, the spectroscopic galaxy clustering bispectrum, the CMB temperature and <jats:italic>E<\/jats:italic>-mode polarisation, the temperature-polarisation cross correlation, and CMB weak lensing. We consider two sets of specifications for the <jats:italic>Euclid<\/jats:italic> probes (pessimistic and optimistic) and three different CMB experiment configurations, that is, <jats:italic>Planck<\/jats:italic>, Simons Observatory (SO), and CMB Stage-4 (CMB-S4). We find the following percentage relative errors in the feature amplitude with <jats:italic>Euclid<\/jats:italic> primary probes: for the linear (logarithmic) feature model, with a fiducial value of \ud835\udc9c<jats:sub><jats:italic>X<\/jats:italic><\/jats:sub> = 0.01, <jats:italic>\u03c9<\/jats:italic><jats:sub><jats:italic>X<\/jats:italic><\/jats:sub>\u2004=\u200410, and <jats:italic>\u03d5<\/jats:italic><jats:sub><jats:italic>X<\/jats:italic><\/jats:sub>\u2004=\u20040: 21% (22%) in the pessimistic settings and 18% (18%) in the optimistic settings at a 68.3% confidence level (CL) using GC<jats:sub>sp<\/jats:sub>+WL+GC<jats:sub>ph<\/jats:sub>+XC. While the uncertainties on the feature amplitude are strongly dependent on the frequency value when single <jats:italic>Euclid<\/jats:italic> probes are considered, we find robust constraints on \ud835\udc9c<jats:sub>X<\/jats:sub> from the combination of spectroscopic and photometric measurements over the frequency range of (1,\u2006\u200610<jats:sup>2.1<\/jats:sup>). Due to the inclusion of numerical reconstruction, the GC<jats:sub>sp<\/jats:sub> bispectrum, SO-like CMB reduces the uncertainty on the primordial feature amplitude by 32%\u201348%, 50%\u201365%, and 15%\u201350%, respectively. Combining all the sources of information explored expected from <jats:italic>Euclid<\/jats:italic> in combination with the future SO-like CMB experiment, we forecast \ud835\udc9c<jats:sub>lin<\/jats:sub> \u2243 0.010 \u00b1 0.001 at a 68.3% CL and \ud835\udc9c<jats:sub>log<\/jats:sub> \u2243 0.010 \u00b1 0.001 for GC<jats:sub>sp<\/jats:sub>(PS rec + BS)+WL+GC<jats:sub>ph<\/jats:sub>+XC+SO-like for both the optimistic and pessimistic settings over the frequency range (1,\u2006\u200610<jats:sup>2.1<\/jats:sup>).<\/jats:p>","DOI":"10.1051\/0004-6361\/202348162","type":"journal-article","created":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T19:47:50Z","timestamp":1704484070000},"page":"A220","source":"Crossref","is-referenced-by-count":24,"title":["<i>Euclid<\/i>: The search for primordial features"],"prefix":"10.1051","volume":"683","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4481-3559","authenticated-orcid":false,"given":"M.","family":"Ballardini","sequence":"first","affiliation":[]},{"given":"Y.","family":"Akrami","sequence":"additional","affiliation":[]},{"given":"F.","family":"Finelli","sequence":"additional","affiliation":[]},{"given":"D.","family":"Karagiannis","sequence":"additional","affiliation":[]},{"given":"B.","family":"Li","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Li","sequence":"additional","affiliation":[]},{"given":"Z.","family":"Sakr","sequence":"additional","affiliation":[]},{"given":"D.","family":"Sapone","sequence":"additional","affiliation":[]},{"given":"A.","family":"Ach\u00facarro","sequence":"additional","affiliation":[]},{"given":"M.","family":"Baldi","sequence":"additional","affiliation":[]},{"given":"N.","family":"Bartolo","sequence":"additional","affiliation":[]},{"given":"G.","family":"Ca\u00f1as-Herrera","sequence":"additional","affiliation":[]},{"given":"S.","family":"Casas","sequence":"additional","affiliation":[]},{"given":"R.","family":"Murgia","sequence":"additional","affiliation":[]},{"given":"H.-A.","family":"Winther","sequence":"additional","affiliation":[]},{"given":"M.","family":"Viel","sequence":"additional","affiliation":[]},{"given":"A.","family":"Andrews","sequence":"additional","affiliation":[]},{"given":"J.","family":"Jasche","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0143-8891","authenticated-orcid":false,"given":"G.","family":"Lavaux","sequence":"additional","affiliation":[]},{"given":"D. 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