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

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Astrophysics - Cosmology and Nongalactic Astrophysics, 85A40

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Euclid preparation. XXVII. Covariance model validation for the 2-point correlation function of galaxy clusters. / Euclid Collaboration.
In: Astronomy and Astrophysics, 09.01.2024.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Bibtex

@article{0a854430b5114f3c9f7d9c6aa14facd5,

title = "Euclid preparation. XXVII. Covariance model validation for the 2-point correlation function of galaxy clusters",

abstract = "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.",

keywords = "Astrophysics - Cosmology and Nongalactic Astrophysics, 85A40",

author = "{Euclid Collaboration} and A. Fumagalli and A. Saro and S. Borgani and T. Castro and M. Costanzi and P. Monaco and E. Munari and E. Sefusatti and N. Aghanim and N. Auricchio and M. Baldi and C. Bodendorf 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 R. Cledassou and G. Congedo and Conselice, {C. J.} and L. Conversi and Y. Copin and L. Corcione and F. Courbin and M. Cropper and {Da Silva}, A. and H. Degaudenzi and F. Dubath and X. Dupac and S. Dusini and S. Farrens and S. Ferriol and M. Frailis and E. Franceschi and P. Franzetti and S. Galeotta and B. Garilli and W. Gillard and B. Gillis and C. Giocoli and A. Grazian and F. Grupp and I. Hook",

year = "2024",

month = jan,

day = "9",

language = "English",

journal = "Astronomy and Astrophysics",

issn = "1432-0746",

publisher = "EDP Sciences",

}

RIS

TY - JOUR

T1 - Euclid preparation. XXVII. Covariance model validation for the 2-point correlation function of galaxy clusters

AU - Euclid Collaboration

AU - Fumagalli, A.

AU - Saro, A.

AU - Borgani, S.

AU - Castro, T.

AU - Costanzi, M.

AU - Monaco, P.

AU - Munari, E.

AU - Sefusatti, E.

AU - Aghanim, N.

AU - Auricchio, N.

AU - Baldi, M.

AU - Bodendorf, C.

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 - Cledassou, R.

AU - Congedo, G.

AU - Conselice, C. J.

AU - Conversi, L.

AU - Copin, Y.

AU - Corcione, L.

AU - Courbin, F.

AU - Cropper, M.

AU - Da Silva, A.

AU - Degaudenzi, H.

AU - Dubath, F.

AU - Dupac, X.

AU - Dusini, S.

AU - Farrens, S.

AU - Ferriol, S.

AU - Frailis, M.

AU - Franceschi, E.

AU - Franzetti, P.

AU - Galeotta, S.

AU - Garilli, B.

AU - Gillard, W.

AU - Gillis, B.

AU - Giocoli, C.

AU - Grazian, A.

AU - Grupp, F.

AU - Hook, I.

PY - 2024/1/9

Y1 - 2024/1/9

N2 - 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.

AB - 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.

KW - Astrophysics - Cosmology and Nongalactic Astrophysics

KW - 85A40

M3 - Journal article

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

SN - 1432-0746

ER -

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