@techreport{fa88e719a3d240bba28e2fbea770f4ff,

title = "Euclid: Effect of sample covariance on the number counts of galaxy clusters",

abstract = "Aims. We investigate the contribution of shot-noise and sample variance to the uncertainty of cosmological parameter constraints inferred from cluster number counts in the context of the Euclid survey. Methods. By analysing 1000 Euclid-like light-cones, produced with the PINOCCHIO approximate method, we validate the analytical model of Hu & Kravtsov 2003 for the covariance matrix, which takes into account both sources of statistical error. Then, we use such covariance to define the likelihood function that better extracts cosmological information from cluster number counts at the level of precision that will be reached by the future Euclid photometric catalogs of galaxy clusters. We also study the impact of the cosmology dependence of the covariance matrix on the parameter constraints. Results. The analytical covariance matrix reproduces the variance measured from simulations within the 10 per cent level; such difference has no sizeable effect on the error of cosmological parameter constraints at this level of statistics. Also, we find that the Gaussian likelihood with cosmology-dependent covariance is the only model that provides an unbiased inference of cosmological parameters without underestimating the errors.",

keywords = "Astrophysics - Cosmology and Nongalactic Astrophysics",

author = "{EUCLIDS Consortium} 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 A. Amara and N. Auricchio and A. Balestra and C. Bodendorf and D. Bonino and E. Branchini and J. Brinchmann and V. Capobianco and C. Carbone and M. Castellano and S. Cavuoti and A. Cimatti and R. Cledassou and Conselice, {C. J.} and L. Corcione and A. Costille and M. Cropper and H. Degaudenzi and M. Douspis and F. Dubath and S. Dusini and A. Ealet and P. Fosalba and E. Franceschi and P. Franzetti and M. Fumana and B. Garilli and C. Giocoli and F. Grupp and L. Guzzo and Haugan, {S. V. H.} and H. Hoekstra and W. Holmes and F. Hormuth and M. Kunz and P. Schneider and C. Sirignano and Taylor, {A. N.} and Valentijn, {E. A.} and Y. Wang and J. Weller and S. Mei",

year = "2021",

month = feb,

day = "17",

language = "English",

series = "ArXiv",

publisher = "arXiv",

type = "WorkingPaper",

institution = "arXiv",

}