Mass Calibration and Cosmological Analysis of the SPT-SZ Galaxy Cluster Sample Using Velocity Dispersion σ v and X-Ray Y X Measurements

We present a velocity dispersion-based mass calibration of the South Pole Telescope SunyaevZel’dovich eect survey (SPT-SZ) galaxy cluster sample. Using a homogeneously selected sample of 100 cluster candidates from 720 deg 2 of the survey along with 63 velocity dispersion ( v) and 16 X-ray YX measurements of sample clusters, we simultaneously calibrate the mass-observable relation and constrain cosmological parameters. Our method accounts for cluster selection, cosmological sensitivity, and uncertainties in the mass calibrators. The calibrations using v and YX are consistent at the 0:6 level, with the v calibration preferring 16% higher masses. We use the full SPTCL dataset (SZ clusters+ v+YX) to measure 8( m=0:27) 0:3 = 0:809 0:036 within a at CDM model. The SPT cluster abundance is lower than preferred by either the WMAP9 or Planck+WMAP9 polarization (WP) data, but assuming the sum of the neutrino masses is P m = 0:06 eV, we nd the datasets to be consistent at the 1.0 level for WMAP9 and 1.5 for Planck+WP. Allowing for larger P m further reconciles the results. When we combine the SPTCL and Planck+WP datasets with information from baryon acoustic oscillations and supernovae Ia, the preferred cluster masses are 1:9 higher than the YX calibration and 0:8 higher than the v calibration. Given the scale of these shifts ( 44% and 23% in mass, respectively), we execute a goodness of t test; it reveals no tension, indicating that the best-t model provides an adequate description of the data. Using the multi-probe dataset, we measure m = 0:299 0:009 and 8 = 0:829 0:011. Within a CDM model we nd P m = 0:148 0:081 eV. We present a consistency test of the cosmic growth rate using SPT clusters. Allowing both the growth index and the dark energy equation of state parameter w to vary, we nd = 0:73 0:28 and w = 1:007 0:065, demonstrating that the expansion and the growth histories are consistent with a