Euclid preparation. XXXV. Covariance model validation for the 2-point correlation function of galaxy clusters

A. Fumagalli , A. Saro , S. Borgani , T. Castro , M. Costanzi , P. Monaco , E. Munari , E. Sefusatti , A. Le Brun (1) , N. Aghanim (2) , N. Auricchio , M. Baldi , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , J. Carretero , F.J. Castander , M. Castellano , S. Cavuoti , R. Cledassou (3, 4) , G. Congedo , C.J. Conselice , L. Conversi , Y. Copin (5) , L. Corcione , F. Courbin , M. Cropper , A. Da Silva , H. Degaudenzi , F. Dubath , X. Dupac , S. Dusini , S. Farrens (6) , S. Ferriol (5) , M. Frailis , E. Franceschi , P. Franzetti , S. Galeotta , B. Garilli , W. Gillard (7) , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , S.V.H. Haugan , W. Holmes , A. Hornstrup , P. Hudelot (8) , K. Jahnke , M. Kümmel , S. Kermiche (7) , A. Kiessling , M. Kilbinger (6) , T. Kitching , M. Kunz , H. Kurki-Suonio , S. Ligori , P.B. Lilje , I. Lloro , O. Mansutti , O. Marggraf , K. Markovic , F. Marulli , R. Massey , S. Maurogordato (9) , E. Medinaceli , S. Mei (10) , M. Meneghetti , G. Meylan , M. Moresco , L. Moscardini , S.-M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W.J. Percival , V. Pettorino (6) , S. Pires (6) , G. Polenta , M. Poncet (3) , F. Raison , R. Rebolo-Lopez , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun (7) , G. Seidel , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespí , A.N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus (11) , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , J. Zoubian (7) , S. Andreon , S. Bardelli , A. Boucaud (10) , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , G. Fabbian , M. Farina , V. Lindholm , D. Maino , N. Mauri , C. Neissner , V. Scottez (8) , E. Zucca , C. Baccigalupi , A. Balaguera-Antolínez , M. Ballardini , F. Bernardeau (8, 12) , A. Biviano , A. Blanchard (11) , A.S. Borlaff , C. Burigana , R. Cabanac (11) , C.S. Carvalho , S. Casas , G. Castignani , K. Chambers , A.R. Cooray , J. Coupon , H.M. Courtois (5) , S. Davini , S. de la Torre (13) , G. Desprez , H. Dole (14) , J.A. Escartin , S. Escoffier (7) , P.G. Ferreira , F. Finelli , J. Garcia-Bellido , K. George , G. Gozaliasl , H. Hildebrandt , I. Hook , A. Jimenez Muñoz (15) , B. Joachimi , V. Kansal (6) , E. Keihänen , C.C. Kirkpatrick , A. Loureiro , M. Magliocchetti , R. Maoli , S. Marcin , M. Martinelli , N. Martinet (13) , S. Matthew , M. Maturi , L. Maurin (14) , R.B. Metcalf , G. Morgante , S. Nadathur , A.A. Nucita , L. Patrizii , J.E. Pollack (10) , V. Popa , C. Porciani , D. Potter , A. Pourtsidou , M. Pöntinen , A.G. Sánchez , Z. Sakr (11) , M. Schirmer , M. Sereno , A. Spurio Mancini , J. Stadel , J. Steinwagner , C. Valieri , J. Valiviita , A. Veropalumbo , M. Viel

1 LUTH (UMR_8102) - Laboratoire Univers et Théories
2 IAS - Institut d'astrophysique spatiale
3 CNES - Centre National d'Études Spatiales [Toulouse]
4 IN2P3 - Institut National de Physique Nucléaire et de Physique des Particules du CNRS
5 IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
6 AIM (UMR7158 / UMR_E_9005 / UM_112) - Astrophysique Interprétation Modélisation
7 CPPM - Centre de Physique des Particules de Marseille
8 IAP - Institut d'Astrophysique de Paris
9 LAGRANGE - Joseph Louis LAGRANGE
10 APC (UMR_7164) - AstroParticule et Cosmologie
11 IRAP - Institut de recherche en astrophysique et planétologie
12 IPHT - Institut de Physique Théorique - UMR CNRS 3681
13 LAM - Laboratoire d'Astrophysique de Marseille
14 IAS - Institut d'astrophysique spatiale
15 LPSC - Laboratoire de Physique Subatomique et de Cosmologie

Aims. We validate a semi-analytical model for the covariance of real-space 2-point correlation function of galaxy clusters. Methods. Using 1000 PINOCCHIO light cones mimicking the expected Euclid sample of galaxy clusters, we calibrate a simple model to accurately describe the clustering covariance. Then, we use such a model to quantify the likelihood analysis response to variations of the covariance, and investigate the impact of a cosmology-dependent matrix at the level of statistics expected for the Euclid survey of galaxy clusters. Results. We find that a Gaussian model with Poissonian shot-noise does not correctly predict the covariance of the 2-point correlation function of galaxy clusters. By introducing few additional parameters fitted from simulations, the proposed model reproduces the numerical covariance with 10 per cent accuracy, with differences of about 5 per cent on the figure of merit of the cosmological parameters $\Omega_{\rm m}$ and $\sigma_8$. Also, we find that the cosmology-dependence of the covariance adds valuable information that is not contained in the mean value, significantly improving the constraining power of cluster clustering. Finally, we find that the cosmological figure of merit can be further improved by taking mass binning into account. Our results have significant implications for the derivation of cosmological constraints from the 2-point clustering statistics of the Euclid survey of galaxy clusters.

Domaines: Astrophysique [astro-ph]

A. Fumagalli, A. Saro, S. Borgani, T. Castro, M. Costanzi, et al.. Euclid preparation. XXXV. Covariance model validation for the 2-point correlation function of galaxy clusters. Astron.Astrophys., 2024, 683, pp.A253. ⟨10.1051/0004-6361/202245540⟩. ⟨hal-03892184⟩