Weighing the Giants V: Galaxy Cluster Scaling Relations
  We present constraints on the scaling relations of galaxy cluster X-ray
luminosity, temperature and gas mass (and derived quantities) with mass and
redshift, employing masses from robust weak gravitational lensing measurements.
These are the first such results obtained from an analysis that simultaneously
accounts for selection effects and the underlying mass function, and directly
incorporates lensing data to constrain total masses. Our constraints on the
scaling relations and their intrinsic scatters are in good agreement with
previous studies, and reinforce a picture in which departures from self-similar
scaling laws are primarily limited to cluster cores. However, the data are
beginning to reveal new features that have implications for cluster
astrophysics and provide new tests for hydrodynamical simulations. We find a
positive correlation in the intrinsic scatters of luminosity and temperature at
fixed mass, which is related to the dynamical state of the clusters. While the
evolution of the nominal scaling relations over the redshift range $0.0<z<0.5$
is consistent with self similarity, we find tentative evidence that the
luminosity and temperature scatters respectively decrease and increase with
redshift. Physically, this likely related to the development of cool cores and
the rate of major mergers. We also examine the scaling relations of redMaPPer
richness and Compton $Y$ from Planck. While the richness--mass relation is in
excellent agreement with recent work, the measured $Y$--mass relation departs
strongly from that assumed in the Planck cluster cosmology analysis. The latter
result is consistent with earlier comparisons of lensing and Planck
scaling-relation-derived masses.
