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

Abstract

We confront the universal pressure profile (UPP) proposed by~\citet{Arnaud10} 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 (RCSLenS). By using the halo model, we calculate the prediction of ${\xi }^{y-\kappa }$ (lensing convergence and Compton-$y$ parameter) and ${\xi }^{y-{\gamma }_{\mathrm{t}}}$ (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-year or Planck 2018 best-fitting values. The best constrained parameter is the pressure profile concentration $c_{500}=r_{500}/r_{\mathrm{s}}$, 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 ($r⩽r_{\mathrm{vir}}/2$) with halo mass in the range of $10^{14}$--$10^{15}{\mathrm{M}}_{\odot }$, suggesting that this is the major regime that constitutes the cross-correlation signal between weak lensing and tSZ.

arXiv comment12 pages, 6 figures, accepted by Monthly Notices of the Royal Astronomical Society

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