  The dilatation operator of planar N=4 super Yang-Mills in the pure scalar
SO(6) sector is derived at the two-loop order. Representation theory allows for
eight free coefficients in an ansatz for the corresponding spin-chain
hamiltonian acting on three adjacent scalar states. While four out of these
follow from the known SU(2|3) sector two-loop dilatation operator, the
remaining four coefficients are derived by diagrammatic techniques and a match
to the known dimension of a length three primary operator. Finally, comments
upon the use of this result for the evaluation of three-point structure
functions of scalar operators at the one-loop order are given.
