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 -