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We study a sample of ~10^4 galaxy clusters in the redshift range 0.2<z<0.8with masses M_200 > 5x10^13 h_70^-1 M_sun, discovered in the secondRed-sequence Cluster Survey (RCS2). The depth and excellent image quality ofthe RCS2 enable us to detect the cluster-mass cross-correlation up to z~0.7. Toobtain cluster masses, concentrations and halo biases, we fit a cluster halomodel simultaneously to the lensing signal and to the projected density profileof red-sequence cluster members, as the latter provides tight constraints onthe cluster miscentring distribution. We parametrise the mass-richness relationas M_200 = A x (N_200/20)^alpha, and find A = (15.0 +- 0.8) x 10^13 h_70^-1M_sun and alpha = 0.73 +- 0.07 at low redshift (0.2<z<0.35). At intermediateredshift (0.35<z<0.55), we find a higher normalisation, which points at afractional increase of the richness towards lower redshift caused by thebuild-up of the red-sequence. The miscentring distribution is well constrained.Only ~30% of our BCGs coincide with the peak of the dark matter distribution.The distribution of the remaining BCGs are modelled with a 2D-Gaussian, whosewidth increases from 0.2 to 0.4 h_70^-1 Mpc towards higher masses; the ratio ofwidth and r_200 is constant with mass and has an average value of 0.44 +- 0.01.The mass-concentration and mass-bias relation agree fairly well with literatureresults at low redshift, but have a higher normalisation at higher redshifts,which may be due to selection and projection effects. The concentration of thesatellite distribution decreases with mass and is correlated with theconcentration of the halo.

Weak-lensing-inferred scaling relations of galaxy clusters in the RCS2: mass-richness, mass-concentration, mass-bias, and more