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We use the cross-correlation between the thermal Sunyaev-Zeldovich (tSZ)signal measured by the Planck satellite and the luminous red galaxy (LRG)samples provided by the SDSS DR7 to study the properties of galaxy cluster andintra-cluster gas. We separate the samples into three redshift bins z_1=(0.16,0.26), z_2=(0.26, 0.36), z_3=(0.36, 0.47), and stack the Planck y-map againstLRGs to derive the averaged y-profile for each redshift bin. We then fit thestacked profile with the theoretical prediction from the universal pressureprofile (UPP) by using the Markov-Chain Monte-Carlo method. We find that thebest-fit values of the UPP parameters for the three bins are generallyconsistent with the previous studies, except for the noticeable evolution ofthe parameters in the three redshift bins. We simultaneously fit the data inthe three redshift bins together, and find that the original UPP model cannotfit the data at small angular scales very well in the first and third redshiftbins. The joint fits can be improved by including an additional parameter etato change the redshift-dependence of the model (i.e. E(z)^{8/3} ->E(z)^{8/3+eta}) with best-fit value as eta=-3.11^{+1.09}_{-1.13}. This suggeststhat the original UPP model with less redshift-dependence may provide a betterfit to the stacked thermal Sunyaev-Zeldovich profile.

Probing galaxy cluster and intra-cluster gas with luminous red galaxies