Re-examination of the Hubble Constant from the Sunyaev-Zel'dovich Effect: Implication for Cosmological Parameters

We performed a systematic and comprehensive estimate of the Hubble constant $H_0$ via the Sunyaev-Zel’dovich temperature decrement and the X-ray measurements for clusters up to the redshift $z=0.541$, with particular attention to its dependence on the density parameter ${\mathrm{\Omega }}_0$, and the cosmological constant ${\lambda }_0$. The resulting values of $H_0$ are largely consistent with that derived from the Cepheid distance for nearby galaxies. We discuss how the angular diameter distance $d_A$ vs. $z$ diagram from the accurate SZ measurements of high-$z$ clusters can distinguish the values of ${\mathrm{\Omega }}_0$ and ${\lambda }_0$.