English

Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics

Cosmology and Nongalactic Astrophysics 2023-07-12 v2

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 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 EuclidEuclid-like mocks, derived from N-body simulations. In this first paper of the HOWLS series, we computed the nontomographic (Ωm\Omega_{\rm m}, σ8\sigma_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 4.54.5 times improvement, highlighting the immense potential of HOS for cosmic shear cosmological analyses with EuclidEuclid. The data used in this analysis are publicly released with the paper.

Keywords

Cite

@article{arxiv.2301.12890,
  title  = {Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics},
  author = {Euclid Collaboration and V. Ajani and M. Baldi and A. Barthelemy and A. Boyle and P. Burger and V. F. Cardone and S. Cheng and S. Codis and C. Giocoli and J. Harnois-Déraps 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 F. J. Castander and M. Castellano and S. Cavuoti and A. Cimatti and R. Cledassou and G. Congedo and C. J. Conselice and L. Conversi and L. Corcione and F. Courbin and M. Cropper and A. Da Silva and H. Degaudenzi and A. M. Di Giorgio and J. Dinis and M. Douspis and F. Dubath and X. Dupac and S. Farrens and S. Ferriol and P. Fosalba and M. Frailis and E. Franceschi and S. Galeotta and B. Garilli and B. Gillis and A. Grazian and F. Grupp and H. Hoekstra and W. Holmes and A. Hornstrup and P. Hudelot and K. Jahnke and M. Jhabvala and M. Kümmel and T. Kitching and M. Kunz and H. Kurki-Suonio and P. B. Lilje and I. Lloro and E. Maiorano and O. Mansutti and O. Marggraf and K. Markovic and F. Marulli and R. Massey and S. Mei and Y. Mellier and M. Meneghetti and M. Moresco and L. Moscardini and S. -M. Niemi and J. Nightingale and T. Nutma and C. Padilla and S. Paltani and K. Pedersen and V. Pettorino and G. Polenta and M. Poncet and L. A. Popa and F. Raison and A. Renzi and J. Rhodes and G. Riccio and E. Romelli and M. Roncarelli and E. Rossetti and R. Saglia and D. Sapone and B. Sartoris and P. Schneider and T. Schrabback and A. Secroun and G. Seidel and S. Serrano and C. Sirignano and L. Stanco and J. -L. Starck and P. Tallada-Crespí and A. N. Taylor and R. Toledo-Moreo and F. Torradeflot and I. Tutusaus and E. A. Valentijn and L. Valenziano and T. Vassallo and Y. Wang and J. Weller and G. Zamorani and J. Zoubian and S. Andreon and S. Bardelli and A. Boucaud and E. Bozzo and C. Colodro-Conde and D. Di Ferdinando and G. Fabbian and M. Farina and J. Graciá-Carpio and E. Keihänen and V. Lindholm and D. Maino and N. Mauri and C. Neissner and M. Schirmer and V. Scottez and E. Zucca and Y. Akrami and C. Baccigalupi and A. Balaguera-Antolínez and M. Ballardini and F. Bernardeau and A. Biviano and A. Blanchard and S. Borgani and A. S. Borlaff and C. Burigana and R. Cabanac and A. Cappi and C. S. Carvalho and S. Casas and G. Castignani and T. Castro and K. C. Chambers and A. R. Cooray and J. Coupon and H. M. Courtois and S. Davini and S. de la Torre and G. De Lucia and G. Desprez and H. Dole and J. A. Escartin and S. Escoffier and I. Ferrero and F. Finelli and K. Ganga and J. Garcia-Bellido and K. George and F. Giacomini and G. Gozaliasl and H. Hildebrandt and A. Jimenez Muñoz and B. Joachimi and J. J. E. Kajava and C. C. Kirkpatrick and L. Legrand and A. Loureiro and M. Magliocchetti and R. Maoli and S. Marcin and M. Martinelli and C. J. A. P. Martins and S. Matthew and L. Maurin and R. B. Metcalf and P. Monaco and G. Morgante and S. Nadathur and A. A. Nucita and V. Popa and D. Potter and A. Pourtsidou and M. Pöntinen and P. Reimberg and A. G. Sánchez and Z. Sakr and A. Schneider and E. Sefusatti and M. Sereno and A. Shulevski and A. Spurio Mancini and J. Steinwagner and R. Teyssier and J. Valiviita and A. Veropalumbo and M. Viel and I. A. Zinchenko},
  journal= {arXiv preprint arXiv:2301.12890},
  year   = {2023}
}

Comments

33 pages, 24 figures, main results in Fig. 19 & Table 5, version published in A&A

R2 v1 2026-06-28T08:26:39.949Z