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arXiv · 2510.04953

Euclid preparation. LXXXV. Toward a DR1 application of higher-order weak lensing statistics

Euclid Collaboration·S. Vinciguerra·F. Bouchè·N. Martinet·L. Castiblanco·C. Uhlemann·S. Pires·J. Harnois-Déraps·C. Giocoli·M. Baldi·V. F. Cardone·A. Vadalà·N. Dagoneau·L. Linke·E. Sellentin·P. L. Taylor·J. C. Broxterman·S. Heydenreich·V. Tinnaneri Sreekanth·N. Porqueres·L. Porth·M. Gatti·D. Grandón·A. Barthelemy·F. Bernardeau·A. Tersenov·H. Hoekstra·J. -L. Starck·S. Cheng·P. A. Burger·I. Tereno·R. Scaramella·B. Altieri·S. Andreon·N. Auricchio·C. Baccigalupi·S. Bardelli·A. Biviano·E. Branchini·M. Brescia·S. Camera·G. Cañas-Herrera·V. Capobianco·C. Carbone·J. Carretero·M. Castellano·G. Castignani·S. Cavuoti·K. C. Chambers·A. Cimatti·C. Colodro-Conde·G. Congedo·L. Conversi·Y. Copin·F. Courbin·H. M. Courtois·M. Cropper·A. Da Silva·H. Degaudenzi·S. de la Torre·G. De Lucia·H. Dole·F. Dubath·X. Dupac·S. Dusini·S. Escoffier·M. Farina·R. Farinelli·S. Farrens·F. Faustini·S. Ferriol·F. Finelli·M. Frailis·E. Franceschi·M. Fumana·S. Galeotta·K. George·B. Gillis·J. Gracia-Carpio·A. Grazian·F. Grupp·S. V. H. Haugan·W. Holmes·F. Hormuth·A. Hornstrup·P. Hudelot·K. Jahnke·M. Jhabvala·B. Joachimi·E. Keihänen·S. Kermiche·A. Kiessling·M. Kilbinger·B. Kubik·M. Kunz·H. Kurki-Suonio·A. M. C. Le Brun·S. Ligori·P. B. Lilje·V. Lindholm
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Abstract

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 Euclid. 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 ($σ_8$, $w_0$) plane for a Euclid-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, $\ell$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 $w_0$ 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 Euclid pipeline, aperture mass, Kaiser--Squires, and Kaiser--Squires plus, and they are unaffected by the application of realistic star masks. Finally, we explored the use of HOS with the Bernardeau--Nishimichi--Taruya (BNT) nulling scheme approach, finding promising results toward applying physical scale cuts to HOS.

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Euclid Collaboration, S. Vinciguerra, F. Bouchè, N. Martinet, L. Castiblanco, C. Uhlemann, S. Pires, J. Harnois-Déraps, C. Giocoli, M. Baldi, V. F. Cardone, A. Vadalà, N. Dagoneau, L. Linke, E. Sellentin, P. L. Taylor, J. C. Broxterman, S. Heydenreich, V. Tinnaneri Sreekanth, N. Porqueres, L. Porth, M. Gatti, D. Grandón, A. Barthelemy, F. Bernardeau, A. Tersenov, H. Hoekstra, J. -L. Starck, S. Cheng, P. A. Burger, I. Tereno, R. Scaramella, B. Altieri, S. Andreon, N. Auricchio, C. Baccigalupi, S. Bardelli, A. Biviano, E. Branchini, M. Brescia, S. Camera, G. Cañas-Herrera, V. Capobianco, C. Carbone, J. Carretero, M. Castellano, G. Castignani, S. Cavuoti, K. C. Chambers, A. Cimatti, C. Colodro-Conde, G. Congedo, L. Conversi, Y. Copin, F. Courbin, H. M. Courtois, M. Cropper, A. Da Silva, H. Degaudenzi, S. de la Torre, G. De Lucia, H. Dole, F. Dubath, X. Dupac, S. Dusini, S. Escoffier, M. Farina, R. Farinelli, S. Farrens, F. Faustini, S. Ferriol, F. Finelli, M. Frailis, E. Franceschi, M. Fumana, S. Galeotta, K. George, B. Gillis, J. Gracia-Carpio, A. Grazian, F. Grupp, S. V. H. Haugan, W. Holmes, F. Hormuth, A. Hornstrup, P. Hudelot, K. Jahnke, M. Jhabvala, B. Joachimi, E. Keihänen, S. Kermiche, A. Kiessling, M. Kilbinger, B. Kubik, M. Kunz, H. Kurki-Suonio, A. M. C. Le Brun, S. Ligori, P. B. Lilje, V. Lindholm. 2026-01-05. Euclid preparation. LXXXV. Toward a DR1 application of higher-order weak lensing statistics. https://doi.org/10.1051/0004-6361%2F202557573

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