We present the first measurement of the relationship between the Sunyaev-Zel ’ dovich effect ( SZE ) signal and the mass of galaxy clusters that uses gravitational lensing to measure cluster mass , based on 14 X-ray luminous clusters at z \simeq 0.2 from the Local Cluster Substructure Survey .
We measure the integrated Compton y -parameter , Y , and total projected mass of the clusters ( M _ { \mbox { \scriptsize GL } } ) within a projected clustercentric radius of 350 kpc , corresponding to mean overdensities of 4000 - 8000 relative to the critical density .
We find self-similar scaling between M _ { \mbox { \scriptsize GL } } and Y , with a scatter in mass at fixed Y of 32 % .
This scatter exceeds that predicted from numerical cluster simulations , however , it is smaller than comparable measurements of the scatter in mass at fixed T _ { X } .
We also find no evidence of segregation in Y between disturbed and undisturbed clusters , as had been seen with T _ { X } on the same physical scales .
We compare our scaling relation to the Bonamente et al . relation based on mass measurements that assume hydrostatic equilibrium , finding no evidence for a hydrostatic mass bias in cluster cores ( M _ { \mbox { \scriptsize GL } } = 0.98 \pm 0.13 M _ { \mbox { \scriptsize HSE } } ) , consistent with both predictions from numerical simulations and lensing/X-ray-based measurements of mass-observable scaling relations at larger radii .
Overall our results suggest that the SZE may be less sensitive than X-ray observations to the details of cluster physics in cluster cores .