Chandra Measurements of a Complete Sample of X-ray Luminous Galaxy
  Clusters: The Luminosity-Mass Relation
  We present the results of work involving a statistically complete sample of
34 galaxy clusters, in the redshift range 0.15$\le$z$\le$0.3 observed with
$Chandra$. We investigate the luminosity-mass ($LM$) relation for the cluster
sample, with the masses obtained via a full hydrostatic mass analysis. We
utilise a method to fully account for selection biases when modeling the $LM$
relation, and find that the $LM$ relation is significantly different than the
relation modelled when not account for selection effects. We find that the
luminosity of our clusters is 2.2$\pm$0.4 times higher (when accounting for
selection effects) than the average for a given mass, its mass is 30% lower
than the population average for a given luminosity. Equivalently, using the
$LM$ relation measured from this sample without correcting for selection biases
would lead to the underestimation by 40% of the average mass of a cluster with
a given luminosity. Comparing the hydrostatic masses to mass estimates
determined from the $Y_{X}$ parameter, we find that they are entirely
consistent, irrespective of the dynamical state of the cluster.
