KiDS-1000 and DES-Y1 Combined: Cosmology from Peak Count Statistics

We analyse the fourth data release of the Kilo Degree Survey (KiDS-1000) and extract cosmological parameter constraints based on the cosmic shear peak count statistics. Peaks are identified in aperture mass maps in which the filter is maximally sensitive to angular scales in the range 2-4 arcmin, probing deep into the non-linear regime of structure formation. We interpret our results with a simulation-based inference pipeline, sampling o v er a broad wCDM prior volume and marginalizing o v er uncertainties on shape calibration, photometric redshift distribution, intrinsic alignment, and baryonic feedback. Our measurements constrain the structure growth parameter and the amplitude of the non-linear intrinsic alignment model to Sigma(8) equivalent to sigma(8) [ Omega(m)/ 0 . 3 ](0 . 60) = 0 . 765 (- 0 . 030) (+ 0 . 030) and A (IA) = 0 . 71 (+ 0 . 42)(- 0 . 42) , respectively, in agreement with previous KiDS-1000 results based on two-point shear statistics. These results are robust against modelling of the non-linear physics, different scale cuts, and selections of tomographic bins. The posterior is also consistent with that from the Dark Energy Surv e y Year-1 peak count analysis presented in Harnois-Deraps et al., and hence we jointly analyse both surv e ys with a common pipeline. We obtain Sigma(8) (joint) equivalent to sigma(8) [ Omega(m)/ / 0 . 3 ] (0 . 57) = 0 . 759(- 0 . 017)(+0 . 020) , in agreement with the PlanckwCDM wCDM results. The shear-CMB tension on this parameter increases to 3 . 1 Q when forcing w = - 1 . 0, and to 4 . 1 Q if comparing instead with S-8,S-Lambda CDM (joint), = 0 . 736 + 0 . 016 - 0 . 018 , one of the tightest constraints to date on this quantity. Residual biases in the photometric redshifts of the DES-Y1 data and in the modelling of small scales physics could lower this tension, ho we ver it is robust against other systematics. Limits in the accuracy of our emulator prevent us from constraining Omega(m) .