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 ( , ) 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, 1-norm, peak counts, Minkowski functionals, and Betti numbers) each outperform the shear two-point correlation functions by a factor of on the 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.
@article{2026, title={Euclid preparation. LXXXV. Toward a DR1 application of higher-order weak lensing statistics}, ISSN={1432-0746}, url={http://dx.doi.org/10.1051/0004-6361/202557573}, DOI={10.1051/0004-6361/202557573}, journal={Astronomy & Astrophysics}, publisher={EDP Sciences}, author={Vinciguerra, S. and Bouchè, F. and Martinet, N. and Castiblanco, L. and Uhlemann, C. and Pires, S. and Harnois-Déraps, J. and Giocoli, C. and Baldi, M. and Cardone, V.F. and Vadalà, A. and Dagoneau, N. and Linke, L. and Sellentin, E. and Taylor, P.L. and Broxterman, J.C. and Heydenreich, S. and Tinnaneri Sreekanth, V. and Porqueres, N. and Porth, L. and Gatti, M. and Grandón, D. and Barthelemy, A. and Bernardeau, F. and Tersenov, A. and Hoekstra, H. and Starck, J.-L. and Cheng, S. and Burger, P.A. and Tereno, I. and Scaramella, R. and Altieri, B. and Andreon, S. and Auricchio, N. and Baccigalupi, C. and Bardelli, S. and Biviano, A. and Branchini, E. and Brescia, M. and Camera, S. and Cañas-Herrera, G. and Capobianco, V. and Carbone, C. and Carretero, J. and Castellano, M. and Castignani, G. and Cavuoti, S. and Chambers, K.C. and Cimatti, A. and Colodro-Conde, C. and Congedo, G. and Conversi, L. and Copin, Y. and Courbin, F. and Courtois, H.M. and Cropper, M. and Da Silva, A. and Degaudenzi, H. and de la Torre, S. and De Lucia, G. and Dole, H. and Dubath, F. and Dupac, X. and Dusini, S. and Escoffier, S. and Farina, M. and Farinelli, R. and Farrens, S. and Faustini, F. and Ferriol, S. and Finelli, F. and Frailis, M. and Franceschi, E. and Fumana, M. and Galeotta, S. and George, K. and Gillis, B. and Gracia-Carpio, J. and Grazian, A. and Grupp, F. and Haugan, S.V.H. and Holmes, W. and Hormuth, F. and Hornstrup, A. and Hudelot, P. and Jahnke, K. and Jhabvala, M. and Joachimi, B. and Keihänen, E. and Kermiche, S. and Kiessling, A. and Kilbinger, M. and Kubik, B. and Kunz, M. and Kurki-Suonio, H. and Le Brun, A.M.C. and Ligori, S. and Lilje, P.B. and Lindholm, V. and Lloro, I. and Mainetti, G. and Maino, D. and Mansutti, O. and Marggraf, O. and Martinelli, M. and Marulli, F. and Massey, R.J. and Medinaceli, E. and Mei, S. and Melchior, M. and Mellier, Y. and Meneghetti, M. and Meylan, G. and Mora, A. and Moresco, M. and Moscardini, L. and Neissner, C. and Niemi, S.-M. and Padilla, C. and Paltani, S. and Pasian, F. and Pedersen, K. and Pettorino, V. and Polenta, G. and Poncet, M. and Popa, L.A. and Raison, F. and Renzi, A. and Rhodes, J. and Riccio, G. and Romelli, E. and Roncarelli, M. and Saglia, R. and Sakr, Z. and Sánchez, A.G. and Sapone, D. and Sartoris, B. and Schneider, P. and Schrabback, T. and Secroun, A. and Seidel, G. and Serrano, S. and Sirignano, C. and Sirri, G. and Spurio Mancini, A. and Stanco, L. and Steinwagner, J. and Tallada-Crespí, P. and Taylor, A.N. and Tessore, N. and Toft, S. and Toledo-Moreo, R. and Torradeflot, F. and Tutusaus, I. and Valiviita, J. and Vassallo, T. and Wang, Y. and Weller, J. and Zacchei, A. and Zamorani, G. and Zerbi, F.M. and Zucca, E. and Ballardini, M. and Bolzonella, M. and Boucaud, A. and Bozzo, E. and Burigana, C. and Cabanac, R. and Calabrese, M. and Cappi, A. and Escartin Vigo, J.A. and Gabarra, L. and Hartley, W.G. and Maoli, R. and Martín-Fleitas, J. and Matthew, S. and Mauri, N. and Metcalf, R.B. and Pezzotta, A. and Pöntinen, M. and Risso, I. and Scottez, V. and Sereno, M. and Tenti, M. and Viel, M. and Wiesmann, M. and Akrami, Y. and Andika, I.T. and Angulo, R.E. and Anselmi, S. and Archidiacono, M. and Atrio-Barandela, F. and Aubourg, E. and Bertacca, D. and Bethermin, M. and Blanchard, A. and Blot, L. and Bonici, M. and Borgani, S. and Brown, M.L. and Bruton, S. and Calabro, A. and Camacho Quevedo, B. and Caro, F. and Carvalho, C.S. and Castro, T. and Cogato, F. and Conseil, S. and Cooray, A.R. and Desprez, G. and Díaz-Sánchez, A. and Diaz, J. and Di Domizio, S. and Diego, J.M. and Elkhashab, M.Y. and Fang, Y. and Ferreira, P.G. and Finoguenov, A. and Franco, A. and Ganga, K. and García-Bellido, J. and Gasparetto, T. and Gautard, V. and Gavazzi, R. and Gaztanaga, E. and Giacomini, F. and Gianotti, F. and Gozaliasl, G. and Guidi, M. and Gutierrez, C.M. and Hall, A. and Hemmati, S. and Hildebrandt, H. and Hjorth, J. and Kajava, J.E. and Kang, Y. and Karagiannis, D. and Kiiveri, K. and Kim, J. and Kirkpatrick, C. and Kruk, S. and Legrand, L. and Lembo, M. and Lepori, F. and Leroy, G. and Lesci, G.F. and Lesgourgues, J. and Liaudat, T.I. and Macias-Perez, J. and Magliocchetti, M. and Mannucci, F. and Martins, C.J.A.P. and Maurin, L. and Miluzio, M. and Monaco, P. and Moretti, C. and Morgante, G. and Nadathur, S. and Naidoo, K. and Navarro-Alsina, A. and Nesseris, S. and Paoletti, D. and Passalacqua, F. and Paterson, K. and Patrizii, L. and Pisani, A. and Potter, D. and Quai, S. and Radovich, M. and Sacquegna, S. and Sahlén, M. and Sanders, D.B. and Sarpa, E. and Schneider, A. and Sciotti, D. and Smith, L.C. and Tanidis, K. and Tao, C. and Testera, G. and Teyssier, R. and Tosi, S. and Troja, A. and Tucci, M. and Vergani, D. and Verza, G. and Walton, N.A.}, year={2026}, month=jan }