Cross Correlation between the Thermal Sunyaev-Zeldovich Effect and the Integrated Sachs-Wolfe Effect

We present a joint cosmological analysis of the power spectra measurement of the Planck Compton parameter and the integrated Sachs-Wolfe (ISW) maps. We detect the statistical correlation between the Planck thermal Sunyaev-Zeldovich (tSZ) map and ISW data with a significance of a 3.6 sigma confidence level (CL), with the autocorrelation of the Planck tSZ data being measured at a 25 sigma CL. The joint auto- and cross-power spectra constrain the matter density to be omega m=0.317-0.031+0.040 , the Hubble constant to be H0=66.5-1.9+2.0kms-1Mpc-1 , and the rms matter density fluctuations to be sigma 8=0.730-0.037+0.040 at the 68% CL. The derived large-scale structure S 8 parameter is S8 equivalent to sigma 8(omega m/0.3)0.5=0.755 +/- 0.060 . If using only the diagonal blocks of covariance matrices, the Hubble constant becomes H0=69.7-1.5+2.0kms-1Mpc-1 . In addition, we obtain the constraint of the product of the gas bias, gas temperature, and density as bgasTe/(0.1keV)n over bar e/1m-3=3.09-0.380+0.320 . We find that this constraint leads to an estimate on the electron temperature today as Te=(2.40-0.300+0.250)x106K , consistent with the expected temperature of the warm-hot intergalactic medium. Our studies show that the ISW-tSZ cross correlation is capable of probing the properties of the large-scale diffuse gas.