Deprojecting Sunyaev-Zeldovich statistics

We apply the hierarchical clustering model and nonlinear perturbation theory to the cosmological density and temperature fields. This allows us to calculate the intergalactic gas-pressure power spectrum, Sunyaev-Zeldovich (SZ) anisotropy power spectrum, skewness, and related statistics. Then we show the effect of the nongravitational heating. Our model confirms recent simulations yielding a mass-weighted gas temperature (T) over bar (g) similar to 0.35 keV and reproduces the power spectra found in these simulations. While the SZ effect contains only angular information, we show that it is possible to extract the full time-resolved gas-pressure power spectrum when combined with galaxy photometric redshift surveys by using a variation on the cross-correlation. This method further allows the disentanglement of the gravitational and the nongravitational heating.