Table-profile formulas for universal finite-size scaling

For the models self-avoiding walk, Ising, $|\varphi|^4$, percolation, and branched polymers, let $f(s)$ denote the torus susceptibility and plateau profile in the critical window, with SR and LR versions sharing the same profile. Let $d_{\mathrm{c},\alpha}$ be the relevant upper critical dimension.

Table-profile conjecture. The profile functions $f(s)$ are the functions listed in Table~ for both SR and LR models in every dimension $d\ge d_{\mathrm{c},\alpha}$, including the upper critical dimension.

The claim identifies the universal profiles more explicitly than the preceding scaling conjecture. The source gives complete-graph and hierarchical-lattice evidence for some profiles but does not state that the general lattice claim has been proved.