Consider Bernoulli bond percolation on Z^d, d>6, assuming eta=0. In this talk I will show that large critical clusters, as their size diverge, converge in distribution toward continuum random trees and super Brownian motions. The proof is based on a method of moments, that is established by gluing IIC (infinite incipient clusters) to create multi-arms IIC and various counting scheme.

Based on a joint work with Tom Hutchcroft.