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We investigate the regularity of galaxy cluster gas density profiles and thelink to the relation between core-excised luminosity, LXc, and mass from the Yxproxy, MYx, for 93 SZE-selected objects. The sample spans masses M500=[0.5 -20] x 10e14 Msun, and lies at redshifts 0.05<z<1.13. Using XMM-Newtonobservations, we derive an average ICM density profile for the SZE-selectedsystems and determine its scaling with mass and redshift. This average profileevolves slightly stronger than self-similar (a_z = 2.09+/-0.02), and hassignificant dependence on mass (a_M = 0.22 +/- 0.01). Deviations from theaverage scaling with radius indicate different evolution for the core regionsand the bulk. We measure the radial variation of the intrinsic scatter, findinga slight evolution with redshift. The average profile of the SZE-selectedsystems describes that of X-ray-selected systems at low redshift. The scaledcore properties are positively skewed at later times, suggesting an increasedincidence of centrally peaked objects at lower redshifts. The relation betweenLXc and MYx has an intrinsic scatter of 13%. Using simulations, we investigatethe impact of selection effects, intrinsic scatter, and covariance on thisrelation. The slope is insensitive to selection and intrinsic scatter betweenquantities; however, the scatter is very dependent on the covariance betweenLXc and Yx. Accounting for our use of the Yx proxy to determine the mass, weestimate an upper limit to the intrinsic scatter with respect to the true massof 22%. We probe the connection between the scatter in density profiles andthat in the LXc-M relation. Our results suggest that the ICM bulk evolvesapproximately self-similarly, with the core regions evolving separately;indicate a variation of the gas content with mass; and show that LXc has atight relation to the underlying mass.

Linking a universal gas density profile to the core-excised X-ray luminosity in galaxy clusters up to z ∼ 1.1