Extraction of cluster parameters with future Sunyaev–Zel'dovich observations

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Abstract
The Sunyaev–Zel'dovich (SZ) effect of galaxy clusters is characterized by three parameters: the Compton parameter, the electron temperature and the cluster peculiar velocity. In the present study we consider the problem of extracting these parameters using multi-frequency SZ observations only. We show that there exists a parameter degeneracy which can be broken with an appropriate choice of frequencies. As a result we discuss the optimal choice of observing frequencies from a theoretical point of view. Finally, we analyse the systematic errors (of the order μK) on the SZ measurement introduced by finite bandwidths, and suggest a possible method of reducing these errors.