AMICO galaxy clusters in KiDS-DR3: Cosmological constraints from the angular power spectrum and correlation function

¹ Dipartimento di Fisica e Astronomia “A. Righi” – Alma Mater Studiorum Università di Bologna, Via Piero Gobetti 93/2, 40129 Bologna, Italy
e-mail: massimilia.romanell2@unibo.it
² INAF – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
³ INFN – Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
⁴ Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany
⁵ INAF – Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
⁶ Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, C.U. di Monte SantAngelo, Via Cintia, 80126 Napoli, Italy
⁷ INAF – Osservatorio Astronomico di Capodimonte, Salita Moiariello 16, 80131 Napoli, Italy
⁸ INFN – Sezione di Napoli, Via Cintia, 80126 Napoli, Italy
⁹ Zentrum für Astronomie, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany
¹⁰ ITP, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
¹¹ INAF – Osservatorio Astronomico di Padova, Vicolo dell’Osservatorio 5, 35122 Padova, Italy

Received: 18 October 2023
Accepted: 21 November 2023

Abstract

We study the tomographic clustering properties of the photometric cluster catalogue derived from the third data release of the Kilo Degree Survey (KiDS), focusing on the angular correlation function and its spherical harmonic counterpart: the angular power spectrum. We measured the angular correlation function and power spectrum from a sample of 5162 clusters, with an intrinsic richness of λ^* ≥ 15, in the photometric redshift range of z ∈ [0.1, 0.6]. We compared our measurements with theoretical models, within the framework of the Λ cold dark matter cosmology. We performed a Markov chain Monte Carlo (MCMC) analysis to constrain the cosmological parameters, Ω_m and σ₈, as well as the structure growth parameter, S₈ ≡ σ₈√Ω_m/0.3. We adopted Gaussian priors on the parameters of the mass-richness relation, based on the posterior distributions derived from a previous joint analysis of cluster counts and weak-lensing mass measurements carried out on the basis of the same catalogue. From the angular correlation function, we obtained Ω_m = 0.32_−0.04^+0.05, σ₈ = 0.77_−0.09^+0.13, and S₈ = 0.80_−0.06^+0.08, which are in agreement, within 1σ, with the 3D clustering result based on the same cluster sample and with existing complementary studies on other data sets. For the angular power spectrum, we checked the validity of the Poissonian shot noise approximation, also considering the mode-mode coupling induced by the mask. We derived statistically consistent results, in particular, Ω_m = 0.24_−0.04^+0.05 and S₈ = 0.93_−0.12^+0.11; while the constraint on σ₈ alone is weaker with respect to the one provided by the angular correlation function, σ₈ = 1.01_−0.17^+0.25. Our results show that the 2D clustering from photometric cluster surveys can provide competitive cosmological constraints with respect to the full 3D clustering statistics. We also demonstrate that they can be successfully applied to ongoing and forthcoming spectrometric and photometric surveys.