Finite-size scaling for percolation above six dimensions

We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d> 6, the shift in the percolation threshold, pc(L)−pc(∞), behaves like A/L2 + B/Ld/3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.