{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T19:58:57Z","timestamp":1773777537819,"version":"3.50.1"},"reference-count":119,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T00:00:00Z","timestamp":1773705600000},"content-version":"vor","delay-in-days":16,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["A&amp;A"],"accepted":{"date-parts":[[2025,12,15]]},"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:p>\n                    This is the second paper in the HOWLS (higher-order weak lensing statistics) series exploring the usage of non-Gaussian statistics for cosmology inference within\n                    <jats:italic>Euclid<\/jats:italic>\n                    . With respect to our first paper, we develop a full tomographic analysis based on realistic photometric redshifts that allows us to derive Fisher forecasts in the (\n                    <jats:italic>\u03c3<\/jats:italic>\n                    <jats:sub>8<\/jats:sub>\n                    ,\n                    <jats:italic>w<\/jats:italic>\n                    <jats:sub>0<\/jats:sub>\n                    ) plane for a\n                    <jats:italic>Euclid<\/jats:italic>\n                    -like data release 1 (DR1) setup. We find that the five higher-order statistics (HOS) that satisfy the Gaussian likelihood assumption of the Fisher formalism (one-point probability distribution function,\n                    <jats:italic>\u2113<\/jats:italic>\n                    1-norm, peak counts, Minkowski functionals, and Betti numbers) each outperform the shear two-point correlation functions by a factor of 2.5 on the\n                    <jats:italic>w<\/jats:italic>\n                    <jats:sub>0<\/jats:sub>\n                    forecasts, with only marginal improvement when used in combination with two-point estimators, suggesting that every HOS is able to retrieve both the non-Gaussian and Gaussian information of the matter density field. The similar performance of the different estimators is explained by a homogeneous use of multi-scale and tomographic information, optimized to lower computational costs. These results hold for the three mass mapping techniques of the\n                    <jats:italic>Euclid<\/jats:italic>\n                    pipeline, aperture mass, Kaiser\u2013Squires, and Kaiser\u2013Squires plus, and they are unaffected by the application of realistic star masks. Finally, we explored the use of HOS with the Bernardeau\u2013Nishimichi\u2013Taruya (BNT) nulling scheme approach, finding promising results toward applying physical scale cuts to HOS.\n                  <\/jats:p>","DOI":"10.1051\/0004-6361\/202557573","type":"journal-article","created":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T12:42:17Z","timestamp":1767703337000},"page":"A235","source":"Crossref","is-referenced-by-count":0,"title":["<i>Euclid<\/i>\n                    preparation"],"prefix":"10.1051","volume":"707","author":[{"name":"Euclid Collaboration","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0005-4018-3184","authenticated-orcid":false,"given":"S.","family":"Vinciguerra","sequence":"additional","affiliation":[{"name":"Aix-Marseille Universit\u00e9, CNRS, CNES, LAM","place":["France"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4663-1786","authenticated-orcid":false,"given":"F.","family":"Bouch\u00e8","sequence":"additional","affiliation":[{"name":"Scuola Superiore Meridionale","place":["Italy"]},{"name":"INFN section of Naples","place":["Italy"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2786-7790","authenticated-orcid":false,"given":"N.","family":"Martinet","sequence":"additional","affiliation":[{"name":"Aix-Marseille Universit\u00e9, CNRS, CNES, LAM","place":["France"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2324-7335","authenticated-orcid":false,"given":"L.","family":"Castiblanco","sequence":"additional","affiliation":[{"name":"School of Mathematics, Statistics and Physics, Newcastle University","place":["UK"]},{"name":"Fakult\u00e4t f\u00fcr Physik, Universit\u00e4t Bielefeld","place":["Germany"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7831-1579","authenticated-orcid":false,"given":"C.","family":"Uhlemann","sequence":"additional","affiliation":[{"name":"Fakult\u00e4t f\u00fcr Physik, Universit\u00e4t Bielefeld","place":["Germany"]},{"name":"School of Mathematics, Statistics and Physics, Newcastle University","place":["UK"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0249-2104","authenticated-orcid":false,"given":"S.","family":"Pires","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Paris-Saclay, Universit\u00e9 Paris Cit\u00e9, CEA, CNRS, AIM","place":["France"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4864-1240","authenticated-orcid":false,"given":"J.","family":"Harnois-D\u00e9raps","sequence":"additional","affiliation":[{"name":"School of Mathematics, Statistics and Physics, Newcastle University","place":["UK"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9590-7961","authenticated-orcid":false,"given":"C.","family":"Giocoli","sequence":"additional","affiliation":[{"name":"INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna","place":["Italy"]},{"name":"INFN-Sezione di Bologna","place":["Italy"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4145-1943","authenticated-orcid":false,"given":"M.","family":"Baldi","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Astronomia, Universit\u00e0 di Bologna","place":["Italy"]},{"name":"INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna","place":["Italy"]},{"name":"INFN-Sezione di Bologna","place":["Italy"]}]},{"given":"V. 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