Closing the Loop: A Self-Consistent Model of Optical, X-ray, and SZ
  Scaling Relations for Clusters of Galaxies
  We demonstrate that optical data from SDSS, X-ray data from ROSAT and
Chandra, and SZ data from Planck, can be modeled in a fully self-consistent
manner. After accounting for systematic errors and allowing for property
covariance, we find that scaling relations derived from optical and X-ray
selected cluster samples are consistent with one another. Moreover, these
clusters scaling relations satisfy several non-trivial spatial abundance
constraints and closure relations. Given the good agreement between optical and
X-ray samples, we combine the two and derive a joint set of LX-M and YSZ-M
relations. Our best fit YSZ-M relation is in good agreement with the observed
amplitude of the thermal SZ power spectrum for a WMAP7 cosmology, and is
consistent with the masses for the two CLASH galaxy clusters published thus
far. We predict the halo masses of the remaining z \leq 0.4 CLASH clusters, and
use our scaling relations to compare our results with a variety of X-ray and
weak lensing cluster masses from the literature.
