Modification of the method for measuring the cmb temperature based on the Sunyaev–Zeldoich effect

Independent measurements of the cosmic microwave background (CMB) temperature $T_0$ in the modern era using cosmological data are extremely important for the verification of cosmological models. In this paper, the standard and new procedures for measuring the cosmic microwave background temperature in the method of the Sunyaev–Zeldovich effect were investigated. The work was performed using numerical simulation of an artificial catalog of observations of the Sunyaev–Zeldovich effect for clusters. As a result, it was found out that a new procedure described in the work provides a more accurate assessment. It is also shown that the reason for the discrepancy in the procedures is the uncertainty of the pecular velocity parameter $\beta$, which is part of the Sunyaev–Zeldoich effect.