Peculiar Velocity Constraints from Five-Band SZ Effect Measurements
  Towards RX J1347.5-1145 with MUSIC and Bolocam from the CSO
  We present Sunyaev-Zel'dovich (SZ) effect measurements from wide-field images
towards the galaxy cluster RX J1347.5-1145 obtained from the Caltech
Submillimeter Observatory with the Multiwavelength Submillimeter Inductance
Camera (MUSIC) at 147, 213, 281, and 337 GHz and with Bolocam at 140 GHz. As
part of our analysis, we have used higher frequency data from Herschel-SPIRE
and previously published lower frequency radio data to subtract the signal from
the brightest dusty star-forming galaxies behind RX J1347.5-1145 and from the
AGN in RX J1347.5-1145's BCG. Using these five-band SZ effect images, combined
with X-ray spectroscopic measurements of the temperature of the intra-cluster
medium (ICM) from Chandra, we constrain the ICM optical depth to be $\tau_e =
7.33^{+0.96}_{-0.97} \times 10^{-3}$ and the ICM line of sight peculiar
velocity to be $v_{pec} = -1040^{+870}_{-840}$ km s$^{-1}$. The errors for both
quantities are limited by measurement noise rather than calibration
uncertainties or astrophysical contamination, and significant improvements are
possible with deeper observations. Our best-fit velocity is in good agreement
with one previously published SZ effect analysis and in mild tension with the
other, although some or all of that tension may be because that measurement
samples a much smaller cluster volume. Furthermore, our best-fit optical depth
implies a gas mass slightly larger than the Chandra-derived value, implying the
cluster is elongated along the line of sight.
