New constraints on $\sigma_8$ from a joint analysis of stacked gravitational lensing and clustering of galaxy clusters

Understand

The joint analysis of clustering and stacked gravitational lensing of galaxy clusters in large surveys can constrain the formation and evolution of structures and the cosmological parameters.

• On scales outside a few virial radii, the halo bias, $b$, is linear and the lensing signal is dominated by the correlated distribution of matter around galaxy clusters.
• We discuss a method to measure the power spectrum amplitude $\sigma_8$ and $b$ based on a minimal modelling.
• We considered a sample of $\sim 120000$ clusters photometrically selected from the Sloan Digital Sky Survey in the redshift range $0.1<z<0.6$.