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

Euclid Collaboration; S. Nadathur

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

Euclid Collaboration, S. Nadathur

Research output: Contribution to journal › Article › peer-review

Abstract

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 (Ω_m, 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.

Original language	English
Journal	Astronomy and Astrophysics
Publication status	Accepted for publication - 17 Apr 2023

Keywords

astro-ph.CO
Gravitational lensing: weak
Methods: statistical
surveys
Cosmology: large-scale structure of Universe, cosmological parameters

Embargoed Document

PUB317db3b3f4ee6188-740528-paper-draft
Accepted author manuscript (Post-print), 6.98 MB
Due to publisher’s copyright restrictions, this document is not freely available to download from this website until: 1/01/50

Cite this

@article{34ca32aeeb7547b386fcc19126aea3d5,

title = "Euclid Preparation XXIX: Forecasts for 10 different higher-order weak lensing statistics",

abstract = "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 correlationfunctions 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 outperformsthe 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.",

keywords = "astro-ph.CO, Gravitational lensing: weak, Methods: statistical, surveys, Cosmology: large-scale structure of Universe, cosmological parameters",

author = "{Euclid Collaboration} and V. Ajani and M. Baldi and A. Barthelemy and A. Boyle and P. Burger and Cardone, {V. F.} and S. Cheng and S. Codis and C. Giocoli and J. Harnois-D{\'e}raps and S. Heydenreich and V. Kansal and M. Kilbinger and L. Linke and C. Llinares and N. Martinet and C. Parroni and A. Peel and S. Pires and L. Porth and I. Tereno and C. Uhlemann and M. Vicinanza and S. Vinciguerra and N. Aghanim and N. Auricchio and D. Bonino and E. Branchini and M. Brescia and J. Brinchmann and S. Camera and V. Capobianco and C. Carbone and J. Carretero and Castander, {F. J.} and M. Castellano and S. Cavuoti and A. Cimatti and R. Cledassou and G. Congedo and Conselice, {C. J.} and L. Conversi and L. Corcione and F. Courbin and M. Cropper and Silva, {A. Da} and K. Markovic and S. Nadathur and A. Pourtsidou",

note = "No embargo",

year = "2023",

month = apr,

day = "17",

language = "English",

journal = "Astronomy and Astrophysics",

issn = "0004-6361",

publisher = "EDP Sciences",

}

TY - JOUR

T1 - Euclid Preparation XXIX

T2 - 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 - 2023/4/17

Y1 - 2023/4/17

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 correlationfunctions 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 outperformsthe 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 correlationfunctions 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 outperformsthe 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

M3 - Article

SN - 0004-6361

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

ER -