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Accurately determining the mass of galaxy clusters is fundamental for manystudies on cosmology and galaxy evolution. We collect and rescale the clustermasses of 1191 clusters of 0.05<z<0.75 estimated by X-ray or Sunyaev-Zeldovichmeasurements and use them to calibrate the optical mass proxy. The total r-bandluminosity (in units of L^{\ast}) of these clusters are obtained by usingspectroscopic and photometric data of the Sloan Digital Sky Survey (SDSS). Wefind that the correlation between the cluster mass M_{500} and total r-bandluminosity L_{500} significantly evolves with redshift. After correcting forthe evolution, we define a new cluster richnessR_{L\ast,500}=L_{500}*E(z)^{1.40} as the optical mass proxy. By using thisnewly defined richness and the recently released SDSS DR12 spectroscopic data,we update the WHL12 cluster catalog and identify 25,419 new rich clusters athigh redshift. In the SDSS spectroscopic survey region, about 89% of galaxyclusters have spectroscopic redshifts. The mass can be estimated with a scatterof 0.17 dex for the clusters in the updated catalog.

Calibration of the optical mass proxy for clusters of galaxies and an update of the WHL12 cluster catalog