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Main Authors: Gayoux, T., Corasaniti, P. -S., Richardson, T. R. G., Kay, S. T., Brun, A. M. C. Le, Moscardini, L., Pizzuti, L., Borgani, S., Costanzi, M., Giocoli, C., Grandis, S., Ragagnin, A., Rhodes, J., Saez-Casares, I., Sereno, M., Sarpa, E., Altieri, B., Amara, A., Andreon, S., Auricchio, N., Baccigalupi, C., Baldi, M., Bardelli, S., Biviano, A., Branchini, E., Brescia, M., Camera, S., Canas-Herrera, G., Capobianco, V., Carbone, C., Carretero, J., Casas, S., Castellano, M., Castignani, G., Cavuoti, S., Chambers, K. C., Cimatti, A., Colodro-Conde, C., Congedo, G., Conversi, L., Copin, Y., Courbin, F., Courtois, H. M., Da Silva, A., Degaudenzi, H., De Lucia, G., Dole, H., Dubath, F., Duncan, C. A. J., Dupac, X., Dusini, S., Escoffier, S., Farina, M., Farinelli, R., Farrens, S., Faustini, F., Ferriol, S., Finelli, F., Frailis, M., Franceschi, E., Fumana, M., Galeotta, S., Gillis, B., Gracia-Carpio, J., Grazian, A., Grupp, F., Haugan, S. V. H., Holmes, W., Hormuth, F., Hornstrup, A., Jahnke, K., Jhabvala, M., Keihanen, E., Kermiche, S., Kiessling, A., Kilbinger, M., Kubik, B., Kunz, M., Kurki-Suonio, H., Lahav, O., Ligori, S., Lilje, P. B., Lindholm, V., Lloro, I., Mainetti, G., Maino, D., Maiorano, E., Mansutti, O., Marcin, S., Marggraf, O., Martinelli, M., Martinet, N., Marulli, F., Massey, R. J., Medinaceli, E., Mei, S., Mellier, Y., Meneghetti, M., Merlin, E., Meylan, G., Mora, A., Moresco, M., Munari, E., Neissner, C., Niemi, S. -M., Padilla, C., Paltani, S., Pasian, F., Pedersen, K., Pettorino, V., Pires, S., Polenta, G., Poncet, M., Popa, L. A., Pozzetti, L., Raison, F., Rebolo, R., Renzi, A., Riccio, G., Romelli, E., Roncarelli, M., Saglia, R., Sakr, Z., Sapone, D., Sartoris, B., Schneider, P., Secroun, A., Seidel, G., Serrano, S., Simon, P., Sirignano, C., Sirri, G., Stanco, L., Starck, J. -L., Steinwagner, J., Tallada-Crespí, P., Taylor, A. N., Tereno, I., Tessore, N., Toft, S., Toledo-Moreo, R., Torradeflot, F., Tutusaus, I., Valenziano, L., Valiviita, J., Vassallo, T., Kleijn, G. Verdoes, Veropalumbo, A., Wang, Y., Weller, J., Zamorani, G., Zucca, E., Burigana, C., Maturi, M., Scottez, V., Viel, M.
Format: Preprint
Published: 2025
Subjects:
Cosmology and Nongalactic Astrophysics
Online Access:https://arxiv.org/abs/2510.27505
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author Gayoux, T.
Corasaniti, P. -S.
Richardson, T. R. G.
Kay, S. T.
Brun, A. M. C. Le
Moscardini, L.
Pizzuti, L.
Borgani, S.
Costanzi, M.
Giocoli, C.
Grandis, S.
Ragagnin, A.
Rhodes, J.
Saez-Casares, I.
Sereno, M.
Sarpa, E.
Altieri, B.
Amara, A.
Andreon, S.
Auricchio, N.
Baccigalupi, C.
Baldi, M.
Bardelli, S.
Biviano, A.
Branchini, E.
Brescia, M.
Camera, S.
Canas-Herrera, G.
Capobianco, V.
Carbone, C.
Carretero, J.
Casas, S.
Castellano, M.
Castignani, G.
Cavuoti, S.
Chambers, K. C.
Cimatti, A.
Colodro-Conde, C.
Congedo, G.
Conversi, L.
Copin, Y.
Courbin, F.
Courtois, H. M.
Da Silva, A.
Degaudenzi, H.
De Lucia, G.
Dole, H.
Dubath, F.
Duncan, C. A. J.
Dupac, X.
Dusini, S.
Escoffier, S.
Farina, M.
Farinelli, R.
Farrens, S.
Faustini, F.
Ferriol, S.
Finelli, F.
Frailis, M.
Franceschi, E.
Fumana, M.
Galeotta, S.
Gillis, B.
Gracia-Carpio, J.
Grazian, A.
Grupp, F.
Haugan, S. V. H.
Holmes, W.
Hormuth, F.
Hornstrup, A.
Jahnke, K.
Jhabvala, M.
Keihanen, E.
Kermiche, S.
Kiessling, A.
Kilbinger, M.
Kubik, B.
Kunz, M.
Kurki-Suonio, H.
Lahav, O.
Ligori, S.
Lilje, P. B.
Lindholm, V.
Lloro, I.
Mainetti, G.
Maino, D.
Maiorano, E.
Mansutti, O.
Marcin, S.
Marggraf, O.
Martinelli, M.
Martinet, N.
Marulli, F.
Massey, R. J.
Medinaceli, E.
Mei, S.
Mellier, Y.
Meneghetti, M.
Merlin, E.
Meylan, G.
Mora, A.
Moresco, M.
Munari, E.
Neissner, C.
Niemi, S. -M.
Padilla, C.
Paltani, S.
Pasian, F.
Pedersen, K.
Pettorino, V.
Pires, S.
Polenta, G.
Poncet, M.
Popa, L. A.
Pozzetti, L.
Raison, F.
Rebolo, R.
Renzi, A.
Riccio, G.
Romelli, E.
Roncarelli, M.
Saglia, R.
Sakr, Z.
Sapone, D.
Sartoris, B.
Schneider, P.
Secroun, A.
Seidel, G.
Serrano, S.
Simon, P.
Sirignano, C.
Sirri, G.
Stanco, L.
Starck, J. -L.
Steinwagner, J.
Tallada-Crespí, P.
Taylor, A. N.
Tereno, I.
Tessore, N.
Toft, S.
Toledo-Moreo, R.
Torradeflot, F.
Tutusaus, I.
Valenziano, L.
Valiviita, J.
Vassallo, T.
Kleijn, G. Verdoes
Veropalumbo, A.
Wang, Y.
Weller, J.
Zamorani, G.
Zucca, E.
Burigana, C.
Maturi, M.
Scottez, V.
Viel, M.
author_facet Gayoux, T.
Corasaniti, P. -S.
Richardson, T. R. G.
Kay, S. T.
Brun, A. M. C. Le
Moscardini, L.
Pizzuti, L.
Borgani, S.
Costanzi, M.
Giocoli, C.
Grandis, S.
Ragagnin, A.
Rhodes, J.
Saez-Casares, I.
Sereno, M.
Sarpa, E.
Altieri, B.
Amara, A.
Andreon, S.
Auricchio, N.
Baccigalupi, C.
Baldi, M.
Bardelli, S.
Biviano, A.
Branchini, E.
Brescia, M.
Camera, S.
Canas-Herrera, G.
Capobianco, V.
Carbone, C.
Carretero, J.
Casas, S.
Castellano, M.
Castignani, G.
Cavuoti, S.
Chambers, K. C.
Cimatti, A.
Colodro-Conde, C.
Congedo, G.
Conversi, L.
Copin, Y.
Courbin, F.
Courtois, H. M.
Da Silva, A.
Degaudenzi, H.
De Lucia, G.
Dole, H.
Dubath, F.
Duncan, C. A. J.
Dupac, X.
Dusini, S.
Escoffier, S.
Farina, M.
Farinelli, R.
Farrens, S.
Faustini, F.
Ferriol, S.
Finelli, F.
Frailis, M.
Franceschi, E.
Fumana, M.
Galeotta, S.
Gillis, B.
Gracia-Carpio, J.
Grazian, A.
Grupp, F.
Haugan, S. V. H.
Holmes, W.
Hormuth, F.
Hornstrup, A.
Jahnke, K.
Jhabvala, M.
Keihanen, E.
Kermiche, S.
Kiessling, A.
Kilbinger, M.
Kubik, B.
Kunz, M.
Kurki-Suonio, H.
Lahav, O.
Ligori, S.
Lilje, P. B.
Lindholm, V.
Lloro, I.
Mainetti, G.
Maino, D.
Maiorano, E.
Mansutti, O.
Marcin, S.
Marggraf, O.
Martinelli, M.
Martinet, N.
Marulli, F.
Massey, R. J.
Medinaceli, E.
Mei, S.
Mellier, Y.
Meneghetti, M.
Merlin, E.
Meylan, G.
Mora, A.
Moresco, M.
Munari, E.
Neissner, C.
Niemi, S. -M.
Padilla, C.
Paltani, S.
Pasian, F.
Pedersen, K.
Pettorino, V.
Pires, S.
Polenta, G.
Poncet, M.
Popa, L. A.
Pozzetti, L.
Raison, F.
Rebolo, R.
Renzi, A.
Riccio, G.
Romelli, E.
Roncarelli, M.
Saglia, R.
Sakr, Z.
Sapone, D.
Sartoris, B.
Schneider, P.
Secroun, A.
Seidel, G.
Serrano, S.
Simon, P.
Sirignano, C.
Sirri, G.
Stanco, L.
Starck, J. -L.
Steinwagner, J.
Tallada-Crespí, P.
Taylor, A. N.
Tereno, I.
Tessore, N.
Toft, S.
Toledo-Moreo, R.
Torradeflot, F.
Tutusaus, I.
Valenziano, L.
Valiviita, J.
Vassallo, T.
Kleijn, G. Verdoes
Veropalumbo, A.
Wang, Y.
Weller, J.
Zamorani, G.
Zucca, E.
Burigana, C.
Maturi, M.
Scottez, V.
Viel, M.
contents The large catalogues of galaxy clusters expected from the Euclid survey will enable cosmological analyses of cluster number counts that require accurate cosmological model predictions. One possibility is to use parametric fits calibrated against $N$-body simulations, that capture the cosmological parameter dependence of the halo mass function. Several studies have shown that this can be obtained through a calibration against haloes with spherical masses defined at the virial overdensity. In contrast, if different mass definitions are used for the HMF and the scaling relation, a mapping between them is required. Here, we investigate the impact of such a mapping on the cosmological parameter constraints inferred from galaxy cluster number counts. Using synthetic data from $N$-body simulations, we show that the standard approach, which relies on assuming a concentration-mass relation, can introduce significant systematic bias. In particular, depending on the mass definition and the relation assumed, this can lead to biased constraints at more than 2$σ$ level. In contrast, we find that in all the cases we have considered, the mass conversion based on the halo sparsity statistics result in a systematic bias smaller than the statistical error.
format Preprint
id arxiv_https___arxiv_org_abs_2510_27505
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Euclid: Systematic uncertainties from the halo mass conversion on galaxy cluster number count data analyses
Gayoux, T.
Corasaniti, P. -S.
Richardson, T. R. G.
Kay, S. T.
Brun, A. M. C. Le
Moscardini, L.
Pizzuti, L.
Borgani, S.
Costanzi, M.
Giocoli, C.
Grandis, S.
Ragagnin, A.
Rhodes, J.
Saez-Casares, I.
Sereno, M.
Sarpa, E.
Altieri, B.
Amara, A.
Andreon, S.
Auricchio, N.
Baccigalupi, C.
Baldi, M.
Bardelli, S.
Biviano, A.
Branchini, E.
Brescia, M.
Camera, S.
Canas-Herrera, G.
Capobianco, V.
Carbone, C.
Carretero, J.
Casas, S.
Castellano, M.
Castignani, G.
Cavuoti, S.
Chambers, K. C.
Cimatti, A.
Colodro-Conde, C.
Congedo, G.
Conversi, L.
Copin, Y.
Courbin, F.
Courtois, H. M.
Da Silva, A.
Degaudenzi, H.
De Lucia, G.
Dole, H.
Dubath, F.
Duncan, C. A. J.
Dupac, X.
Dusini, S.
Escoffier, S.
Farina, M.
Farinelli, R.
Farrens, S.
Faustini, F.
Ferriol, S.
Finelli, F.
Frailis, M.
Franceschi, E.
Fumana, M.
Galeotta, S.
Gillis, B.
Gracia-Carpio, J.
Grazian, A.
Grupp, F.
Haugan, S. V. H.
Holmes, W.
Hormuth, F.
Hornstrup, A.
Jahnke, K.
Jhabvala, M.
Keihanen, E.
Kermiche, S.
Kiessling, A.
Kilbinger, M.
Kubik, B.
Kunz, M.
Kurki-Suonio, H.
Lahav, O.
Ligori, S.
Lilje, P. B.
Lindholm, V.
Lloro, I.
Mainetti, G.
Maino, D.
Maiorano, E.
Mansutti, O.
Marcin, S.
Marggraf, O.
Martinelli, M.
Martinet, N.
Marulli, F.
Massey, R. J.
Medinaceli, E.
Mei, S.
Mellier, Y.
Meneghetti, M.
Merlin, E.
Meylan, G.
Mora, A.
Moresco, M.
Munari, E.
Neissner, C.
Niemi, S. -M.
Padilla, C.
Paltani, S.
Pasian, F.
Pedersen, K.
Pettorino, V.
Pires, S.
Polenta, G.
Poncet, M.
Popa, L. A.
Pozzetti, L.
Raison, F.
Rebolo, R.
Renzi, A.
Riccio, G.
Romelli, E.
Roncarelli, M.
Saglia, R.
Sakr, Z.
Sapone, D.
Sartoris, B.
Schneider, P.
Secroun, A.
Seidel, G.
Serrano, S.
Simon, P.
Sirignano, C.
Sirri, G.
Stanco, L.
Starck, J. -L.
Steinwagner, J.
Tallada-Crespí, P.
Taylor, A. N.
Tereno, I.
Tessore, N.
Toft, S.
Toledo-Moreo, R.
Torradeflot, F.
Tutusaus, I.
Valenziano, L.
Valiviita, J.
Vassallo, T.
Kleijn, G. Verdoes
Veropalumbo, A.
Wang, Y.
Weller, J.
Zamorani, G.
Zucca, E.
Burigana, C.
Maturi, M.
Scottez, V.
Viel, M.
Cosmology and Nongalactic Astrophysics
The large catalogues of galaxy clusters expected from the Euclid survey will enable cosmological analyses of cluster number counts that require accurate cosmological model predictions. One possibility is to use parametric fits calibrated against $N$-body simulations, that capture the cosmological parameter dependence of the halo mass function. Several studies have shown that this can be obtained through a calibration against haloes with spherical masses defined at the virial overdensity. In contrast, if different mass definitions are used for the HMF and the scaling relation, a mapping between them is required. Here, we investigate the impact of such a mapping on the cosmological parameter constraints inferred from galaxy cluster number counts. Using synthetic data from $N$-body simulations, we show that the standard approach, which relies on assuming a concentration-mass relation, can introduce significant systematic bias. In particular, depending on the mass definition and the relation assumed, this can lead to biased constraints at more than 2$σ$ level. In contrast, we find that in all the cases we have considered, the mass conversion based on the halo sparsity statistics result in a systematic bias smaller than the statistical error.
title Euclid: Systematic uncertainties from the halo mass conversion on galaxy cluster number count data analyses
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2510.27505

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