Scattering amplitudes and simple canonical forms for simple polytopes

A bstract We provide an efficient recursive formula to compute the canonical forms of arbitrary d -dimensional simple polytopes, which are convex polytopes such that every vertex lies precisely on facets. For illustration purposes, we explicitly derive formulae for Stokes play a similar role theory with quartic interaction as Associahedron does in planar bi-adjoint ? 3 theory. As by-product, our also suggests new way obtain full amplitude 4 by taking suitable limits constituent polytopes.