Modelling the correlation between the thermal Sunyaev Zel'dovich effect and the cosmic infrared background

Abstract

We show how the correlation between the thermal Sunyaev Zel'dovich effect\n(tSZ) from galaxy clusters and dust emission from cosmic infrared background\n(CIB) sources can be calculated in a halo model framework. Using recent tSZ and\nCIB models, we find that the size of the tSZ x CIB cross-correlation is\napproximately 20 per cent at 150 GHz. The contribution to the total angular\npower spectrum is of order -2 \\mu K^2 at ell=3000, however, this value is\nuncertain by a factor of two to three, primarily because of CIB source\nmodelling uncertainties. We expect the large uncertainty in this component to\ndegrade upper limits on the kinematic Sunyaev Zel'dovich effect (kSZ), due to\nsimilarity in the frequency dependence of the tSZ x CIB and kSZ across the\nfrequency range probed by current Cosmic Microwave Background missions. We also\nfind that the degree of tSZ x CIB correlation is higher for mm x sub-mm spectra\nthan mm x mm, because more of the sub-mm CIB originates at lower redshifts\n(z<2), where most tSZ clusters are found.\n

Affiliated Institutions

• University of Oxford GB
• Princeton University US

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