2021MNRAS.500.1806M

We confront the universal pressure profile (UPP) proposed. with the recent measurement of the cross-correlation function of the thermal Sunyaev-Zeldovich (tSZ) effect from Planck and weak gravitational lensing measurement from the Red Cluster Sequence Lensing Survey. By using the halo model, we calculate the prediction of ξ^y–κ (lensing convergence and Compton-y parameter) and ξ^y–γt_^ (lensing shear and Compton-y parameter) and fit the UPP parameters by using the observational data. We find consistent UPP parameters when fixing the cosmology to either WMAP 9-yr or Planck 2018 best-fitting values. The best constrained parameter is the pressure profile concentration c₅₀₀ = r₅₀₀/r_s, for which we find c₅₀₀ = 2.68^+1.46_–0.96 (WMAP-9) and c₅₀₀ = 1.91^+1.07_–0.65 (Planck-2018) for the ξ^y–γt_^ estimator. The shape index for the intermediate radius region α parameter is constrained to α=1.75^+1.29_–0.77 and α= 1.65^+0.74_–0.5 for WMAP-9 and Planck-2018 cosmologies, respectively. Propagating the uncertainties of the UPP parameters to pressure profiles results in a factor of 3 uncertainty in the shape and magnitude. Further investigation shows that most of the signal of the cross-correlation comes from the low-redshift, inner halo profile (r <= r_vir/2) with halo mass in the range of 10¹⁴-10¹⁵ M_☉, suggesting that this is the major regime that constitutes the cross-correlation signal between weak lensing and tSZ.