2023/11/16 by Alexandros Papageorgiou, Papageorgiou, Alexandros, M. Plionis +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph)
paper · pdf · doi:10.48550/arxiv.2311.09826
openalex publication_date 2023/11/16 · openalex created_date 2023/11/18 · openalex updated_date 2026/07/28
We use a large set of halo mass function (HMF) models in order to investigate their ability to represent the observational Cluster Mass Function (CMF), derived from the \mathttGalWCat19 cluster catalogue, within the ΛCDM cosmology. We apply the χ2 minimization procedure to constrain the free parameters of the models, namely Ωm and σ8. We find that all HMF models fit well the observational CMF, while the Bocquet et. al. model provides the best fit, with the lowest χ2 value. Utilizing the \em Index of Inconsistency (IOI) measure, we further test the possible inconsistency of the models with respect to a variety of \em Planck 2018 ΛCDM cosmologies, resulting from the combination of different probes (CMB - BAO or CMB - DES). We find that the HMF models that fitted well the observed CMF provide consistent cosmological parameters with those of the \em Planck CMB analysis, except for the Press & Schechter, Yahagi et. al., and Despali et. al. models which return large IOI values. The inverse χ\rm min2-weighted average values of Ωm and σ8, over all 23 theoretical HMF models are: Ωm,0=0.313± 0.022 and σ8=0.798±0.040, which are clearly consistent with the results of \em Planck-CMB, providing S8=σ8(Ωm/0.3)1/2= 0.815± 0.05. Within the ΛCDM paradigm and independently of the selected HMF model in the analysis, we find that the current CMF shows no σ8-tension with the corresponding \em Planck-CMB results.