TY - JOUR

T1 - Euclid Preparation XXIX. Forecasts for 10 different higher-order weak lensing statistics

AU - Euclid Collaboration

AU - Ajani, V.

AU - Baldi, M.

AU - Barthelemy, A.

AU - Boyle, A.

AU - Burger, P.

AU - Cardone, V. F.

AU - Cheng, S.

AU - Codis, S.

AU - Giocoli, C.

AU - Harnois-Déraps, J.

AU - Heydenreich, S.

AU - Kansal, V.

AU - Kilbinger, M.

AU - Linke, L.

AU - Llinares, C.

AU - Martinet, N.

AU - Parroni, C.

AU - Peel, A.

AU - Pires, S.

AU - Porth, L.

AU - Tereno, I.

AU - Uhlemann, C.

AU - Vicinanza, M.

AU - Vinciguerra, S.

AU - Aghanim, N.

AU - Auricchio, N.

AU - Bonino, D.

AU - Branchini, E.

AU - Brescia, M.

AU - Brinchmann, J.

AU - Camera, S.

AU - Capobianco, V.

AU - Carbone, C.

AU - Carretero, J.

AU - Castander, F. J.

AU - Castellano, M.

AU - Cavuoti, S.

AU - Cimatti, A.

AU - Cledassou, R.

AU - Congedo, G.

AU - Conselice, C. J.

AU - Conversi, L.

AU - Corcione, L.

AU - Courbin, F.

AU - Cropper, M.

AU - Silva, A. Da

AU - Markovic, K.

AU - Nadathur, S.

AU - Pourtsidou, A.

N1 - No embargo

PY - 2023/7/7

Y1 - 2023/7/7

N2 - 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 HigherOrder 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 non-tomographic (Ωm, σ8) 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.

AB - 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 HigherOrder 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 non-tomographic (Ωm, σ8) 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.

KW - astro-ph.CO

KW - Gravitational lensing: weak

KW - Methods: statistical

KW - surveys

KW - Cosmology: large-scale structure of Universe, cosmological parameters

U2 - 10.1051/0004-6361/202346017

DO - 10.1051/0004-6361/202346017

M3 - Article

SN - 0004-6361

VL - 675

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

M1 - A120

ER -