| Power spectra $D_\ell = \ell(\ell\! +\!1)C_\ell/2\pi$ of thermal and kinetic SZ effect, as modelled by the PSM for various options. Black (resp. green) curves give the spectrum of the tSZ (resp. kSZ) maps as modelled on the basis of a population of clusters as described in~\ref{sub:sz_mf}. Upper curves are obtained using the mass function of \citet{2008ApJ...688..709T} with WMAP 7-year cosmological parameters and the $Y$--$M$ scaling law of \citet{2010A&A...517A..92A}. Lower curves are obtained when the value of $\sigma_8$ is set to 0.75 instead of 0.809, and assuming an hydrostatic bias of 15\% in the $Y$--$M$ scaling law, i.e., the $Y$ parameter is 15\% lower than in \citet{2010A&A...517A..92A} for a given cluster mass. Red (resp. blue) curves are tSZ (resp. kSZ) power spectra for the model described in~\ref{sub:sz_lss-massfunction}, where the high redshift part is generated with the same two modeling alternatives (upper curves for $\sigma_8=0.809$ and no hydrostatic bias, lower curves for $\sigma_8=0.75$ and 15\% hydrostatic bias). As the low-redshift part of the SZ maps uses maps at {\sc HEALPix} $N_{\rm side}=1024$, power spectra for this case are computed only up to $\ell=2000$. The red diamond at $\ell=3000$ is the tSZ measurement of $D_{3000}^{tSZ}=3.65\pm 0.69$\uKsquare\ obtained recently by SPT \citep{2011arXiv1111.0932R}, improving on previous measurements from \citet{2010ApJ...719.1045L}, \citet{2011ApJ...739...52D}, and \citet{2011ApJ...736...61S}. The blue arrow is the corresponding upper limit for kSZ. |