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This study shows one important effect of preexistent cosmic microwavebackground temperature fluctuations on the determination of the Hubble constantthrough Sunyaev-Zel'dovich effect of clusters of galaxies, especially whencoupled with the gravitational lensing effect by the same clusters. The effectresults in a broad distribution of the apparent Hubble constant. Thecombination of this effect with other systematic effects such as theLoeb-Refregier Effect seems to provide an explanation for the observationallyderived values of the Hubble constant currently available based on theSunyaev-Zel'dovich effect, if the true value of the Hubble constant is 60-80km/s/Mpc. It thus becomes possible that the values of the Hubble constantmeasured by other techniques which generally give a value around 60-80 km/s/Mpcbe reconciled with the SZ effect determined values of the Hubble constant,where are systematically lower than others and have a broad distribution.Comment: ApJ Lett in pres

On the Cluster Sunyaev-Zeldovich Effect and Hubble Constant