Galaxy Cluster Scaling Relations between Bolocam Sunyaev-Zel'dovich
  Effect and Chandra X-ray Measurements
  We present scaling relations between the integrated Sunyaev-Zel'dovich Effect
(SZE) signal, $Y_{\rm SZ}$, its X-ray analogue, $Y_{\rm X}\equiv M_{\rm
gas}T_{\rm X}$, and total mass, $M_{\rm tot}$, for the 45 galaxy clusters in
the Bolocam X-ray-SZ (BOXSZ) sample. All parameters are integrated within
$r_{2500}$. $Y_{2500}$ values are measured using SZE data collected with
Bolocam, operating at 140 GHz at the Caltech Submillimeter Observatory (CSO).
The temperature, $T_{\rm X}$, and mass, $M_{\rm gas,2500}$, of the intracluster
medium are determined using X-ray data collected with Chandra, and $M_{\rm
tot}$ is derived from $M_{\rm gas}$ assuming a constant gas mass fraction. Our
analysis accounts for several potential sources of bias, including: selection
effects, contamination from radio point sources, and the loss of SZE signal due
to noise filtering and beam-smoothing effects. We measure the
$Y_{2500}$--$Y_{\rm X}$ scaling to have a power-law index of $0.84\pm0.07$, and
a fractional intrinsic scatter in $Y_{2500}$ of $(21\pm7)\%$ at fixed $Y_{\rm
X}$, both of which are consistent with previous analyses. We also measure the
scaling between $Y_{2500}$ and $M_{2500}$, finding a power-law index of
$1.06\pm0.12$ and a fractional intrinsic scatter in $Y_{2500}$ at fixed mass of
$(25\pm9)\%$. While recent SZE scaling relations using X-ray mass proxies have
found power-law indices consistent with the self-similar prediction of 5/3, our
measurement stands apart by differing from the self-similar prediction by
approximately 5$\sigma$. Given the good agreement between the measured
$Y_{2500}$--$Y_{\rm X}$ scalings, much of this discrepancy appears to be caused
by differences in the calibration of the X-ray mass proxies adopted for each
particular analysis.
