The cosmological analysis of X-ray cluster surveys: II- Application of
  the CR-HR method to the XMM archive
  We have processed 2774 high-galactic observations from the XMM archive (as of
May 2010) and extracted a serendipitous catalogue of some 850 clusters of
galaxies based on purely X-ray criteria, following the methodology developed
for the XMM-LSS survey. Restricting the sample to the highest signal-to-noise
objects (347 clusters), we perform a cosmological analysis using the X-ray
information only. The analysis consists in the modelling of the observed
colour-magnitude (CR-HR) diagram constructed from cluster instrumental
count-rates measured in the [0.5-2], [1-2] and [0.5-1] keV bands. A MCMC
procedure simultaneously fits the cosmological parameters, the evolution of the
cluster scaling laws and the selection effects. Our results are consistent with
the sigma_8 and Omega_m values obtained by WMAP-5 and point toward a negative
evolution of the cluster scaling relations with respect to the self-similar
expectation. We are further able to constrain the cluster fractional radius
xc0=r_c/r500c, to xc0=0.24 +/- 0.04. This study stresses again the critical
role of selection effects in deriving cluster scaling relations, even in the
local universe. Finally, we show that CR-HR method applied to the eRosita
all-sky survey - provided that cluster photometric redshifts are available -
will enable the determination of the equation of state of the dark energy at
the level of the DETF stage IV predictions; simultaneously, the evolution of
the cluster scaling-relations will be unambiguously determined. The XMM CLuster
Archive Super Survey (XCLASS) serendipitous cluster catalogue is available
online at: http://xmm-lss.in2p3.fr:8080/l4sdb/.
