March 2025
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Physical Review D
Cosmic shear, galaxy clustering, and the abundance of massive halos each probe the large-scale structure of the Universe in complementary ways. We present cosmological constraints from the joint analysis of the three probes, building on the latest analyses of the lensing-informed abundance of clusters identified by the South Pole Telescope (SPT) and of the auto- and cross-correlation of galaxy position and weak lensing measurements ( 3 × 2 pt ) in the Dark Energy Survey (DES). We consider the cosmological correlation between the different tracers and we account for the systematic uncertainties that are shared between the large-scale lensing correlation functions and the small-scale lensing-based cluster mass calibration. Marginalized over the remaining Λ cold dark matter ( Λ CDM ) parameters (including the sum of neutrino masses) and 52 astrophysical modeling parameters, we measure Ω m = 0.300 ± 0.017 and σ 8 = 0.797 ± 0.026 . Compared to constraints from primary cosmic microwave background (CMB) anisotropies, our constraints are only 15% wider with a probability to exceed of 0.22 ( 1.2 σ ) for the two-parameter difference. We further obtain S 8 ≡ σ 8 ( Ω m / 0.3 ) 0.5 = 0.796 ± 0.013 which is lower than the measurement at the 1.6 σ level. The combined SPT cluster, DES 3 × 2 pt , and datasets mildly prefer a nonzero positive neutrino mass, with a 95% upper limit ∑ m ν < 0.25 eV on the sum of neutrino masses. Assuming a w CDM model, we constrain the dark energy equation of state parameter w = − 1.1 5 − 0.17 + 0.23 and when combining with primary CMB anisotropies, we recover w = − 1.2 0 − 0.09 + 0.15 , a 1.7 σ difference with a cosmological constant. The precision of our results highlights the benefits of multiwavelength multiprobe cosmology and our analysis paves the way for upcoming joint analyses of next-generation datasets. Published by the American Physical Society 2025