Calibration of the optical mass proxy for clusters of galaxies and an
  update of the WHL12 cluster catalog
  Accurately determining the mass of galaxy clusters is fundamental for many
studies on cosmology and galaxy evolution. We collect and rescale the cluster
masses of 1191 clusters of 0.05<z<0.75 estimated by X-ray or Sunyaev-Zeldovich
measurements and use them to calibrate the optical mass proxy. The total r-band
luminosity (in units of L^{\ast}) of these clusters are obtained by using
spectroscopic and photometric data of the Sloan Digital Sky Survey (SDSS). We
find that the correlation between the cluster mass M_{500} and total r-band
luminosity L_{500} significantly evolves with redshift. After correcting for
the evolution, we define a new cluster richness
R_{L\ast,500}=L_{500}*E(z)^{1.40} as the optical mass proxy. By using this
newly defined richness and the recently released SDSS DR12 spectroscopic data,
we update the WHL12 cluster catalog and identify 25,419 new rich clusters at
high redshift. In the SDSS spectroscopic survey region, about 89% of galaxy
clusters have spectroscopic redshifts. The mass can be estimated with a scatter
of 0.17 dex for the clusters in the updated catalog.
