We present a joint weak lensing and X-ray analysis of 4 deg$^2$ from the
CFHTLS and XMM-LSS surveys. Our weak lensing analysis is the first analysis of
a real survey using shapelets, a new generation weak lensing analysis method.
We create projected mass maps of the images, and extract 6
weak-lensing-detected clusters of galaxies. We show that their counts can be
used to constrain the power spectrum normalisation $\sigma_8
=0.92_{-0.30}^{+0.26}$ for $\Omega_m=0.24$. We show that despite the large
scatter generally observed in the M-T relation derived from lensing masses,
tight constraints on both its slope and normalisation $M_*$ can be obtained
with a moderate number of sources provided that the covered mass range is large
enough. Adding clusters from Bardeau et al. (2007) to our sample, we measure
$M_* = 2.71_{-0.61}^{+0.79} 10^{14} h^{-1} M_\odot$. Although they are
dominated by shot noise and sample variance, our measurements are consistent
with currently favoured values, and set the stage for future surveys. We thus
investigate the dependence of those estimates on survey size, depth, and
integration time, for joint weak lensing and X-ray surveys. We show that deep
surveys should be dedicated to the study of the physics of clusters and groups
of galaxies. For a given exposure time, wide surveys provide a larger number of
detected clusters and are therefore preferred for the measurement of
cosmological parameters such as $\sigma_8$ and $M_*$. We show that a wide
survey of a few hundred square degrees is needed to improve upon current
measurements of these parameters. More ambitious surveys covering 7000 deg$^2$
will provide the 1% accuracy in the estimation of the power spectrum and the
M-T relation normalisations.Comment: MNRAS in press Matches accepted version. References update