Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics
Creators: name: Euclid Collaboration
name: Ajani, V.
name: Baldi, M.
name: Barthelemy, A.
name: Boyle, A.
name: Burger, P.
name: Cardone, V. F.
name: Cheng, S.
name: Codis, S.
name: Giocoli, C.
name: Harnois-Déraps, J.
name: Heydenreich, S.
name: Kansal, V.
name: Kilbinger, M.
name: Linke, L.
name: Llinares, C.
name: Martinet, N.
name: Parroni, C.
name: Peel, A.
name: Pires, S.
name: Porth, L.
name: Tereno, I.
name: Uhlemann, C.
name: Vicinanza, M.
name: Vinciguerra, S.
name: Aghanim, N.
name: Auricchio, N.
name: Bonino, D.
name: Branchini, E.
name: Brescia, M.
name: Brinchmann, J.
name: Camera, S.
name: Capobianco, V.
name: Carbone, C.
name: Carretero, J.
name: Castander, F. J.
name: Castellano, M.
name: Cavuoti, S.
name: Cimatti, A.
name: Cledassou, R.
name: Congedo, G.
name: Conselice, C. J.
name: Conversi, L.
name: Corcione, L.
name: Courbin, F.
name: Cropper, M.
name: Da Silva, A.
name: Degaudenzi, H.
name: Di Giorgio, A. M.
name: Dinis, J.
name: Douspis, M.
name: Dubath, F.
name: Dupac, X.
name: Farrens, S.
name: Ferriol, S.
name: Fosalba, P.
name: Frailis, M.
name: Franceschi, E.
name: Galeotta, S.
name: Garilli, B.
name: Gillis, B.
name: Grazian, A.
name: Grupp, F.
name: Hoekstra, H.
name: Holmes, W.
name: Hornstrup, A.
name: Hudelot, P.
name: Jahnke, K.
name: Jhabvala, M.
name: Kümmel, M.
name: Kitching, T.
name: Kunz, M.
name: Kurki-Suonio, H.
name: Lilje, P. B.
name: Lloro, I.
name: Maiorano, E.
name: Mansutti, O.
name: Marggraf, O.
name: Markovic, K.
name: Marulli, F.
name: Massey, R.
name: Mei, S.
name: Mellier, Y.
name: Meneghetti, M.
name: Moresco, M.
name: Moscardini, L.
name: Niemi, S. -M.
name: Nightingale, J.
name: Nutma, T.
name: Padilla, C.
name: Paltani, S.
name: Pedersen, K.
name: Pettorino, V.
name: Polenta, G.
name: Poncet, M.
name: Popa, L. A.
name: Raison, F.
name: Renzi, A.
name: Rhodes, J.
name: Riccio, G.
name: Romelli, E.
name: Roncarelli, M.
name: Rossetti, E.
name: Saglia, R.
name: Sapone, D.
name: Sartoris, B.
name: Schneider, P.
name: Schrabback, T.
name: Secroun, A.
name: Seidel, G.
name: Serrano, S.
name: Sirignano, C.
name: Stanco, L.
name: Starck, J. -L.
name: Tallada-Crespí, P.
name: Taylor, A. N.
name: Toledo-Moreo, R.
name: Torradeflot, F.
name: Tutusaus, I.
name: Valentijn, E. A.
name: Valenziano, L.
name: Vassallo, T.
name: Wang, Y.
name: Weller, J.
name: Zamorani, G.
name: Zoubian, J.
name: Andreon, S.
name: Bardelli, S.
name: Boucaud, A.
name: Bozzo, E.
name: Colodro-Conde, C.
name: Di Ferdinando, D.
name: Fabbian, G.
name: Farina, M.
name: Graciá-Carpio, J.
name: Keihänen, E.
name: Lindholm, V.
name: Maino, D.
name: Mauri, N.
name: Neissner, C.
name: Schirmer, M.
name: Scottez, V.
name: Zucca, E.
name: Akrami, Y.
name: Baccigalupi, C.
name: Balaguera-Antolínez, A.
name: Ballardini, M.
name: Bernardeau, F.
name: Biviano, A.
name: Blanchard, A.
name: Borgani, S.
name: Borlaff, A. S.
name: Burigana, C.
name: Cabanac, R.
name: Cappi, A.
name: Carvalho, C. S.
name: Casas, S.
name: Castignani, G.
name: Castro, T.
name: Chambers, K. C.
name: Cooray, A. R.
name: Coupon, J.
name: Courtois, H. M.
name: Davini, S.
name: de la Torre, S.
name: De Lucia, G.
name: Desprez, G.
name: Dole, H.
name: Escartin, J. A.
name: Escoffier, S.
name: Ferrero, I.
name: Finelli, F.
name: Ganga, K.
name: Garcia-Bellido, J.
name: George, K.
name: Giacomini, F.
name: Gozaliasl, G.
name: Hildebrandt, H.
name: Muñoz, A. Jimenez
name: Joachimi, B.
name: Kajava, J. J. E.
name: Kirkpatrick, C. C.
name: Legrand, L.
name: Loureiro, A.
name: Magliocchetti, M.
name: Maoli, R.
name: Marcin, S.
name: Martinelli, M.
name: Martins, C. J. A. P.
name: Matthew, S.
name: Maurin, L.
name: Metcalf, R. B.
name: Monaco, P.
name: Morgante, G.
name: Nadathur, S.
name: Nucita, A. A.
name: Popa, V.
name: Potter, D.
name: Pourtsidou, A.
name: Pöntinen, M.
name: Reimberg, P.
name: Sánchez, A. G.
name: Sakr, Z.
name: Schneider, A.
name: Sefusatti, E.
name: Sereno, M.
name: Shulevski, A.
name: Mancini, A. Spurio
name: Steinwagner, J.
name: Teyssier, R.
name: Valiviita, J.
name: Veropalumbo, A.
name: Viel, M.
name: Zinchenko, I. A.
Publisher: name: arXiv
Year: 2023
Subjects: subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Recent cosmic shear studies have shown that higher-order statistics (HOS) developed by independent teams now outperform standard two-point estimators in terms of statistical precision thanks to their sensitivity to the non-Gaussian features of large-scale structure. The aim of the Higher-Order Weak Lensing Statistics (HOWLS) project is to assess, compare, and combine the constraining power of ten different HOS on a common set of $Euclid$-like mocks, derived from N-body simulations. In this first paper of the HOWLS series, we computed the nontomographic ($Ω_{\rm m}$, $σ_8$) Fisher information for the one-point probability distribution function, peak counts, Minkowski functionals, Betti numbers, persistent homology Betti numbers and heatmap, and scattering transform coefficients, and we compare them to the shear and convergence two-point correlation functions in the absence of any systematic bias. We also include forecasts for three implementations of higher-order moments, but these cannot be robustly interpreted as the Gaussian likelihood assumption breaks down for these statistics. Taken individually, we find that each HOS outperforms the two-point statistics by a factor of around two in the precision of the forecasts with some variations across statistics and cosmological parameters. When combining all the HOS, this increases to a $4.5$ times improvement, highlighting the immense potential of HOS for cosmic shear cosmological analyses with $Euclid$. The data used in this analysis are publicly released with the paper.
description: 33 pages, 24 figures, main results in Fig. 19 &amp; Table 5, version published in A&amp;A