Radio source contamination of the Sunyaev-Zeldovich effect in galaxy clusters

By cross-correlating the 1.4 GHz FIRST catalog of radio sources with the Abell cluster catalog we have found an excess surface density by a factor ≃5 of radio sources within a projected distance, r_p, of 0.1 Mpc (for h=0.65) from the cluster center. The profile of the excess density can be described, for r_p ⪆ 0.1 Mpc, by a β-model with a core radius of ≃0.70 Mpc and β=1.65. The luminosity function of cluster sources does not show hints of cosmological evolution over the redshift range (z⪉ 0.4) covered by our cluster sample. The mean luminosity function is in excellent agreement with the recent determination by Reddy & Yun (\cite{Red03}) for 7 nearby clusters and extends it by two orders of magnitude to higher luminosities. Its shape is very similar to that of the local luminosity function of field galaxies, but the space density is about 3000 times higher. When extrapolated to 30 GHz, our luminosity function compares very favourably with an estimate obtained directly from the 30 GHz observations by Cooray et al. (\cite{Coo98}). The antenna temperature contributed by radio sources within the nominal cluster radius of 1.7 Mpc is estimated to be ≃13.5 μK at 30 GHz for clusters at z≃ 0 and decreases to ≃3.4 μK at z≃ 0.5, in the absence of cosmological evolution; it increases by a factor of ≃1.5 within 0.25 Mpc from the cluster center. If the pure luminosity evolution models by Dunlop & Peacock (\cite{Dun90}) are adopted, the radio source antenna temperature turns out to be essentially independent of redshift.