Probing the cluster pressure profile with thermal Sunyaev-Zeldovich effect and weak lensing cross-correlation

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 xi(y-kappa) (lensing convergence and Compton-y parameter) and xi(y-gamma t) (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 c(500) = r(500)/r(s), for which we find c(500) = 2.68(-0.96)(+1.46) (WMAP-9) and c(500) = 1.91(-0.65)(+1.07) (Planck-2018) for the xi(y-gamma t) estimator. The shape index for the intermediate radius region alpha parameter is constrained to alpha = 1.75(-0.77)(+1.29) and alpha = 1.65(-0.5)(+0.74) 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 10(14)-10(15)M(circle dot), suggesting that this is the major regime that constitutes the cross-correlation signal between weak lensing and tSZ.

Automated summary

The study compared the universal pressure profile (UPP) with measurements of the thermal Sunyaev-Zeldovich (tSZ) effect and weak gravitational lensing, finding consistent UPP parameters under fixed cosmology. The most constrained parameters were the pressure profile concentration c(500) and shape index alpha.